CN103544867B - Goldbach's Conjecture proves coordinate plane demonstration device - Google Patents

Abstract

The Goldbach's Conjecture of the present invention proves coordinate plane demonstration device, relate to education skill and science of mathematics research field, it is intended to solving school instruction Goldbach's Conjecture does not has instrument and model and prior art can not solve the technical problems such as Goldbach's Conjecture's proof.By coordinate plane check board (1), coordinate plane surface-mounted integrated circuit (2), odd number prime number base addition formula number ordinate plate (3), odd number prime number base addition formula prism bottom cut board (4), a formula, the present invention proves that demarcation line (5), most formula prove that demarcation line (6), double-basis theorem proving demarcation line (7), mobile contact interchange switching (8) and pedestal (9) are constituted；The lower section of double-basis theorem proving demarcation line (7) and most formula prove that the lower section of demarcation line (6) is all stable Goldbach space, one formula proves that lower section, demarcation line (5) is that demonstration judges scope, method and the natural law that Goldbach's Conjecture sets up without leak fluctuation Goldbach space.

Description

Goldbach's Conjecture proves coordinate plane demonstration device

Technical field

The present invention relates to school mathematics teaching and field of Educational Technology, the demonstrating apparatus of Public Cultural Places mathematics activity to popularize scientific knowledge, a kind of Goldbach's Conjecture particularly to institution of higher education and scientific research institutions' Mathematics Research field proves coordinate plane demonstration device.

Background technology

Goldbach's Conjecture is one famous international mathematics difficult problem, national science technology department, the Ministry of Education of the state, the Chinese Academy of Sciences, NSFC(National Natural Science Foundation of China), Science Press combine editor, Science Press 2009 the 1st edition " 10000 the sciences problems mathematics volumes " book formally published describes Goldbach's Conjecture: " even number more than 4 be all two odd number prime numbers and.", at present, international mathematics circle is generally referred to as " proposition 1+1 " Goldbach's Conjecture.

June 17 1742 Christian era, the secondary school teachers that one, Germany is named as Goldbach has write an envelope letter to the Switzerland's nationality big mathematician Euler staying in Russia Sankt Peterburg at that time, and Goldbach is asked in letter: " the most any even number little unlike 6 be all two odd number prime numbers and？" simultaneously, Goldbach is also asked: " and the most any odd number little unlike 9 be all 3 odd number prime numbers and？" June 30 1742 Christian era, Euler to Goldbach write a letter in reply: " any be more than or equal to 6 even number be all two odd number prime numbers and.Although I cannot prove it, but I be sure of and far and away it is thought that right-on theorem." in time of the nearlyest 200 years, the two proposition is being proved by the mathematician that the whole world is ten hundreds of, nineteen thirty-seven, former Soviet Union mathematician Wei Nuogelatuofu demonstrates: " positive odd number more than 8 be all 3 odd number prime numbers and ", 1966, Chinese Mathematics man Chen Jing profit demonstrates proposition 1+2: " even number more than 4 can be write as an odd number prime number and add the long-pending sum less than two odd number prime numbers ", the method that imagination utilizes the analytic theory of numbers, by the long-pending conversion of two odd number prime numbers, proposition 1+1 is derived the most correct by the correctness of proposition 1+2, so far, on several the roads that this direction is studied, all mathematicians the most do not obtain any progress.

Enter 21 century, the 24th, Beijing ICMs in 2002 and authority publishing house of two countries of the U.S. and Britain raise the bonus of 1,000,000 dollars, be used for having rewarded the mathematician that Goldbach's Conjecture proves, started various countries mathematician and studied the upsurge of Goldbach's Conjecture.Has there is the invention that more than 20 parts are relevant with Goldbach's Conjecture in internal and international Patent Office, but all can only show the superficial phenomenon that Goldbach's Conjecture sets up in limited range, it is impossible to deduce in theoretical and method and can make it is appreciated that the ultimate principle of Goldbach's Conjecture's establishment.It is also so that inventor obtains two utility model patents relevant with Goldbach's Conjecture " space demonstration device of Goldbach conjecture " and " planar demonstrator for Goldbach conjecture " in Patent Office of State Intellectual Property Office.But, in the application of school mathematics teaching, and in all orders of society carries out the activity of scientific popularization, as instruments used for education and Public Culture product, use the utility model patent of inventor, good effect can be received, continue to probe into and innovate, it is found that the natural law being hidden in this mathematical problem of Goldbach's Conjecture, these natural laws are utilized to carry out theory innovation, founding mathematical models, in endless range, can thoroughly solve to prove the technological approaches of Goldbach's Conjecture, a kind of Goldbach's Conjecture being used for demonstrating method of proof and conclusion of the therefore invention present invention proves coordinate plane demonstration device.

Summary of the invention

Present invention seek to address that prior art can not apply the mathematical model of demonstration Goldbach's Conjecture to carry out the activity of middle and primary schools teaching Goldbach's Conjecture, cracking mathematician can not apply existing mathematical concept to be finally completed the technical problem that Goldbach's Conjecture carries out Strict Proof in theory and method, to provide a kind of demonstrating effect directly perceived, accurately, range of application is bigger, the principles of science and method are reliable, it is simple to a kind of Goldbach's Conjecture that reader recognizes, understands and applies proves coordinate plane demonstration device.

It is an object of the invention to by following technical scheme realization.

A kind of Goldbach's Conjecture of present invention invention proves coordinate plane demonstration device, it is characterised in that: proved that demarcation line 5, most formula prove that demarcation line 6, double-basis theorem proving demarcation line 7, mobile contact interchange switching 8 and pedestal 9 are constituted by coordinate plane check board 1, coordinate plane surface-mounted integrated circuit 2, odd number prime number base addition formula number ordinate plate 3,4, formula of odd number prime number base addition formula prism bottom cut board；The most sequentially it is fixed on pedestal 9 after the circular hole near each corner on odd number prime number base addition formula prism bottom cut board 4, odd number prime number base addition formula number ordinate plate 3, coordinate plane surface-mounted integrated circuit 2, coordinate plane check board 1 by 4 cap screw；The form identical with coordinate plane check board 1 upper surface and Word message is had been imprinted with on coordinate plane surface-mounted integrated circuit 2, odd number prime number base addition formula number ordinate plate 3, odd number prime number base addition formula prism bottom cut board 4, the formula also having a purple on odd number prime number base addition formula number ordinate plate 3 and odd number prime number base addition formula prism bottom cut board 4 proves demarcation line 5, article one, blue most formulas prove demarcation line 6, the double-basis theorem proving demarcation line 7 of a black；One positive odd number more than 1, except 1 and its own, does not has other positive approximate number, such positive odd number X_nBeing called odd number prime number, Goldbach's Conjecture is greater than the even number of 5 can be write as the sum of two odd number prime numbers, odd number prime number X_nDeduct the difference obtained after 1 by half, be designated as x_n, such several x_nBeing called odd number prime number base, the positive even numbers a more than 1 is called Goldbach base, and double-basis theorem refers to that any one Goldbach base a is two odd number prime number bases and x_i+x_j(x_i≤x_j), the interval that determined by Goldbach base a [2 ,+∞) it is called Goldbach space, it is divided into stable Goldbach space and fluctuation Goldbach space, fluctuation Goldbach space is divided into again leaky fluctuation Goldbach space and without leak fluctuation Goldbach space, by odd number prime number base x_nThe closed interval [2,2x determined_n] it is fluctuation Goldbach space [2～2x_n], stable Goldbach space [2 → x that double-basis theorem determines_n+ 1] and [2 → x_n+1], work as x_nWhen trending towards infinity, it is simply that stablize Goldbach space [2 →+∞]；Ordinate on odd number prime number base addition formula number ordinate plate 3 is to apply to seek ordinate method line by line, or ordinate method is sought in application by column, or application footline determines what ordinate method was obtained；nullAccording to the ordinate on odd number prime number base addition formula number ordinate plate 3，A formula can be drawn respectively and prove that demarcation line 5 and most formula prove demarcation line 6，According to coordinate plane check board 1、Coordinate plane surface-mounted integrated circuit 2、Odd number prime number base addition formula number ordinate plate 3、In the odd number prime number base addition each plate of formula prism bottom cut board 4, in the 1st row, the 2nd odd number prime number base walking to m row can draw most formula and prove demarcation line 6 and double-basis theorem proving demarcation line 7，In demonstration device, the region W below double-basis theorem proving demarcation line 7 is the subspace that most formula proves the region Q below demarcation line 6，Region Q is the subspace that a formula proves the region U of lower part there，It is used for demonstrating and judges in a big way and complete the proof to Goldbach's Conjecture，Wherein，m，n，i，j，K is positive integer.

Aforementioned ask ordinate method to refer to the form on odd number prime number base addition formula number ordinate plate 3 line by line in, from the beginning of the 2nd row, according to the 1st odd number prime number base x arranging m row_n, take less than or equal to x_nAll odd number prime number bases 1,2,3,5,6,8,9 ..., x_n, it is added two-by-two, at m row, determines and Goldbach space [2,2x_nOn], each Goldbach base a place n-th arranges the odd number prime number base addition formula x of correspondence_i+x_j(x_i≤x_j) number k, it is simply that the interior ordinate z marked of grid that the n-th row intersect with m row, wherein, m, n, z, i, j, k are positive integers.

Aforementioned ask ordinate method to refer to the form on odd number prime number base addition formula number ordinate plate 3 by column in, from the beginning of the 2nd row, ask the 1st row Goldbach base a place n-th arrange the 2nd walk to after ordinate in each grid of each row, take all odd number prime number bases less than or equal to a-1, it is added two-by-two, at the n-th row, determine and be equal to all addition formula x of a_i+x_j(x_i≤x_j) and number after, by addition formula x_i+x_j(x_i≤x_j2nd addend x in)_jNumber k less than or equal to the addition formula of the 1st odd number prime number base arranging m row, it is simply that the ordinate z of mark in the grid that the n-th row and m row intersect, wherein, m, n, z, i, j, k are positive integers.

Aforementioned footline is determined in the form that ordinate method refers on odd number prime number base addition formula number ordinate plate 3, from the beginning of the m row that vertical coordinate y is maximum, according to the 1st maximum odd number prime number base x arranging m rower note_n, obtain by less than x_nThe addition formula x of all basis set one-tenth of odd number prime number_i+x_j(x_i≤x_jAfter), then these addition formulas by the magnitude classification of sum, at m row, in Goldbach space [2,2x_n] k the addition formula x of Goldbach base a of upper n-th row_i1+x_j1, x_i2+x_j2..., x_ik+x_jkIn, x_j1<x_j2<...<x_jkIf the minima of the 2nd addend is x_j1, just arrange at Goldbach base a place n-th, from the 1st row odd number prime number base x_j1The grid intersected with a column of being expert at starts the mark numeral ordinate more than 0, if the maximum of the 2nd addend is x_jk, then determined the 1st row odd number prime number base x by this k addition formula_jkPlace after walking in each row the ordinate of the n-th upper each grid of row be k, scratch x_ik+x_jk, remaining (k-1) individual addition formula determine the 1st row odd number prime number base x_j(k-1)It is expert to x_jkIn being expert at, the n-th ordinate arranging each grid is k-1, then scratches x_i(k-1)+x_j(k-1), remaining (k-2) individual addition formula determine the 1st row odd number prime number base x_j(k-2)It is expert to x_j(k-1)In being expert at, the ordinate of the n-th upper each grid of row is k-2；...；Finally scratch x_i2+x_j2, by remaining 1 addition formula x_i1+x_j1(x_i1≤x_j1) determine the 1st row odd number prime number base x_j1It is expert to x_j2The ordinate being expert in the n-th upper each grid of row is 1；In different rows, all by the odd number prime number base x of the 1st row_nDetermine a Goldbach space [2,2x_n], if certain Goldbach base a is both in certain grid that this Goldbach space determines, there is no again addition formula, being said to be the leak in this fluctuation Goldbach space, just in this grid, the ordinate of mark is natural number 0, if Goldbach base a is not in certain grid that Goldbach space determines, in this grid, then do not define ordinate, the most non-Goldbach space is without ordinate, wherein, and m, n, i, j, k are positive integers；Described determined the 1st row odd number prime number base x by this k addition formula_jkPlace after walking to each row include containing x_jkRow, remaining (k-1) individual addition formula determine the 1st row odd number prime number base x_j(k-1)It is expert to x_jkIt is expert at and is not included containing x_jkRow, remaining (k-2) individual addition formula determine the 1st row odd number prime number base x_j(k-2)It is expert to x_j(k-1)It is expert at and is not included containing x_j(k-1)Row, by remaining 1 addition formula x_i1+x_j1(x_i1≤x_j1) determine the 1st row odd number prime number base x_j1It is expert to x_j2It is expert at and is not included containing x_j2Row.

The Goldbach's Conjecture of present invention invention proves coordinate plane demonstration device, it is characterised in that: described coordinate plane check board 1 is rectangular shape, is made up of plank or steel plate, horizontal positioned, upper surface printing several rows some row square grid, the upper left corner is labelled with space coordinates symbol " O → xyz ", and the abscissa x of the outer laterally mark corresponding with row of top edge line is 1,2,3,4,5,6, ..., the vertical coordinate y of the outer longitudinally mark corresponding with row of left hand edge line is 1,2,3,4,5,6, ..., right hand edge line the outer 2nd walks to m row longitudinal arrangement odd number prime number X_nIt is 3,5,7,11,13 ..., it is 6 that outer 2nd row of lower limb line arrange the transversely arranged even number M being more than 5 to n-th, 8,10,12,14 ..., in table, the 1st row the 2nd row are 2 to the n-th Goldbach base a arranging each grid transversely arranged, 3,4,5,6 ..., the 1st arranges the 2nd odd number prime number base x walking to m row longitudinal arrangement_nIt is 1,2,3,5,6 ..., x_n-1, x_n, x_n+1..., according to x_nThe value of+1 determines position, depicts the double-basis theorem proving demarcation line 7 of a black in table, and wherein, m, n are positive integers.

The Goldbach's Conjecture of present invention invention proves coordinate plane demonstration device, it is characterised in that: described coordinate plane surface-mounted integrated circuit 2, is rectangular shape, is made up of transparent insulation plate-shaped material, horizontal positioned, and in the form of upper surface, the 1st row are by odd number prime number base x_nDetermine the 2nd walks to each Goldbach space [2,2x of m row_nOn], the 1st arranges the 2nd walks in m row, and a variable resistance and a switch that each grid internal drilling is installed all arrange to 2x with this row the 2nd_nEach bulb series connection installed in arranging each grid, in grid, the electric light of the circle signs "○" of mark is red light, in grid, the electric light of the triangle symbol " △ " of mark is green light, below double-basis theorem proving demarcation line 7, all electric lights are green light, remaining electric light is amber light, the binding post of each variable resistance left is connected in parallel on the positive pole of power supply, the metal stationary contact of the binding post of each variable resistance right and switch is connected, the bulb series connection that the grid internal drilling that the metal movable contact of switch intersects with this row and the 2nd row is installed, m row and 2x_nThe remaining binding post of bulb in the grid that row intersect draws an insulated conductors, by 2x_nArrange to the 1st row, the metal movable contact of the switch installed in arranging, with the 1st, the grid that (m-1) row intersects is connected, the remaining binding post of bulb in 2nd row and the 2nd grid that intersects of row draws an insulated conductors, arranges the 2nd by the 1st and walks to m row and turn on the negative pole of power supply；In table, the 1st arranges the 2nd to walk to the vertical coordinate of m row each grid place line number the biggest, variable-resistance resistance is the least, when the switch closing m row and the switch closing (m-1) row, variable-resistance effect can make the all-in resistance in series circuit essentially identical respectively, supply voltage is certain, current intensity in circuit is essentially identical, is maintained in the range of being perfectly safe；During demonstration, can only close a switch, after closing a switch of m row, the 2nd walks to the luminescence of m row all electric lights, shows three kinds of coloured light of red, yellow, and green every time, is used for strengthening the effect set up with mathematical model demonstration Goldbach's Conjecture.

The Goldbach's Conjecture of present invention invention proves coordinate plane demonstration device, it is characterized in that: described odd number prime number base addition formula number ordinate plate 3 is rectangular shape, made by transparent with machine glass, horizontal positioned, in the form of upper surface, the 2nd walks to the ordinate z that m row and the 2nd row are noted to the m each grid internal standard of row, it is to apply to seek ordinate method line by line, or application seek ordinate method by column, or application footline determines what ordinate method was obtained, all ordinates represent respectively and are equal to the odd number prime number base addition formula x of Goldbach base a of column the 1st row_i+x_j(x_i≤x_j) number, according to size and the odd number prime number base x of ordinate_nSize, the formula being decorated with a purple in table proves demarcation line 5, article one, blue most formulas prove demarcation line 6 and the double-basis theorem proving demarcation line 7 of a black, 1st arranges the 2nd walks in each grid of m row just to all having drilled through two circular apertures at two hard contacts of the switch in correspondence position grid on coordinate plane surface-mounted integrated circuit 2, may pass through two cylindrical metal contacts of mobile contact interchange switching 8, in table the Changing Pattern of ordinate can be used to demonstrate rapidly in a big way judge and complete the proof to Goldbach's Conjecture, demonstration is by odd number prime number radix row x₁, x₂, x₃..., x_n-1, x_n, x_n+1Before in, n odd number prime number base determines the 1st row odd number prime number base x_nThe stable Goldbach space [2 → x being expert at_n+ 1] and stablize Goldbach space [2 → x_n+1], also demonstration fluctuation Goldbach space [2～2x_n]。

The Goldbach's Conjecture of the present invention proves coordinate plane demonstration device, it is characterized in that: described odd number prime number base addition formula prism bottom cut board 4, be rectangular shape, be made up of transparent solid material, horizontal positioned, in the form of upper surface, the 2nd walks to the m row odd number prime number base x by the 1st row_nThe Goldbach space [2,2x determined_nOn], corresponding to the position being labelled with in the grid of ordinate on odd number prime number base addition formula number ordinate plate 3 in each grid, down excavation cuboid groove, it is long and wide the most equal with the length of odd number prime number base addition formula prism and wide difference, and the metal material stockline of a purple is installed in relevant position, demarcation line 5 is proved as a formula, article one, blue metal material stockline, demarcation line 6 is proved as most formulas, article one, the metal material stockline of black, as double-basis theorem proving demarcation line 7, 1st arranges the 2nd walks to just all drill through two circular apertures in correspondence position grid on coordinate plane surface-mounted integrated circuit 2 at two hard contacts of switch in each grid of m row, during demonstration, use two cylindrical metal contacts of mobile contact interchange switching 8, through the two circular aperture.

nullThe Goldbach's Conjecture of present invention invention proves coordinate plane demonstration device，It is characterized in that: use a mobile contact interchange switching 8 insert on odd number prime number base addition formula prism bottom cut board 4 the 1st arrange two circular apertures of m row after，It is then passed through the relevant position on odd number prime number base addition formula number ordinate plate 3，Connect with two hard contacts on the switch of coordinate plane surface-mounted integrated circuit 2 relevant position，Making on the coordinate plane surface-mounted integrated circuit 2 of the present invention the 2nd, to walk to all electric lights of m row luminous，Show the redlight district and yellow-light-area separated by a formula proof demarcation line 5，Also show the yellow-light-area and green zone and the property without leak of ordinate numeral non-zero separated by most formulas proof demarcation line 6，And the green zone that shown by double-basis theorem proving demarcation line 7 and the mathematical law of the constant stability of ordinate numeral，It is used for demonstrating the natural law that Goldbach's Conjecture sets up.

The Goldbach's Conjecture of present invention invention proves the beneficial effect of coordinate plane demonstration device

1. the simple in construction of the present invention, scientific in principle, reasonable in design, manufacturing technology requires the highest, easily manufacture, safe and reliable, nontoxic attached effect, energy-conserving and environment-protective, the power supply used, in addition to DC source, can also configure and alternating current is changed into galvanic device, or use solaode, switch designs is become portable snap switch easy to use or remote switch, middle and primary schools' teaching uses the present invention, and only configuring and using the quantity of mobile contact interchange switching 8 is one or several, and demonstration application is safer, more convenient, more economical.

2. in the little scope of positive integer, or in Goldbach space [2, + ∞) on, complete the proof to double-basis theorem and (see " mathematical proof of Goldbach's Conjecture " literary composition that inventor writes, Vocationl Technical College of Dazhou City journal, the 3-4 phase in 2012), double-basis theorem is the mathematical theorem that inventor applies Qi Beixiaofubeitelunde theorem complete independently to prove, is important the principles of science of the present invention；Demonstrate, on a large scale, the conclusion proving that Goldbach's Conjecture sets up, wherein, one formula proves that demarcation line 5 can be used for the reason that pupil understands that Goldbach's Conjecture necessarily sets up, and apply " planar demonstrator for Goldbach conjecture " or " Goldbach's Conjecture proves Great Wall figure ", in limited range, directly write out the result proving that Goldbach's Conjecture sets up, according to the technology requirement of proof Goldbach's Conjecture, pupil can complete respectively to write out the direct proof of an addition formula for each continuous print string even number being more than 5；At most addition formulas prove that demarcation line 6 are for it is appreciated that the natural law necessarily set up of Goldbach's Conjecture；Double-basis theorem proving demarcation line 7 is of value to lifting theory, the Qi Beixiaofu-Bei Telunde theorem that in little scope or in endless range, application Russia mathematician proves, may certify that double-basis theorem is set up: for arbitrary Goldbach base a, have a=x_i+x_j(x_i≤x_j)；Double-basis theorem is for solving the even number M=2a+2=2 (x more than or equal to 6_i+x_j)+2=(2x_i+1)+(2x_i+ 1) >=6, i.e. Goldbach's Conjecture sets up, apply this formula, ordinate according to the present invention, one determines that obtaining each even number being more than 5 is written to the sum of two odd number prime numbers, completing the proof to Goldbach's Conjecture, two is the mathematical model demonstration of the application present invention, determines that trying to achieve each even number in the conclusion proving Goldbach's Conjecture is the number of the addition formula of the sum of two odd number prime numbers.

The natural law that formalized modelization the most of the present invention demonstration Goldbach's Conjecture necessarily sets up: the leak that green zone does not necessarily have ordinate to be zero, amber light becomes the property without leak and stability that ordinate is invariable after green light, can be used for demonstrating the method for Goldbach's Conjecture's multiple formula proof and principle is correct, all leaky row are arranged to n-th according to the 2nd row, will occur that a formula fills up the phenomenon of leak the most as early as possible, demonstration one formula method of proof of Goldbach's Conjecture, and the closed interval [2, x that the scope that Goldbach's Conjecture is set up is determined by double-basis theorem_n+ 1] scope on extends to bigger scope, even extends in closed interval [2,2x_nIn the range of], Goldbach's Conjecture also sets up, demonstration in the little scope determined by Goldbach base apply " in odd number prime number base table " odd number prime number base, rapidly on a large scale in judge and complete the proof to Goldbach's Conjecture.

4. pupil imparts rudimentary knowledge to beginners addition, learn prime number and four arithmetic operation for five grades, there is the primary condition of understanding Goldbach's Conjecture, but numerous teachers, the middle and elementary school student head of a family are introducing Goldbach's Conjecture to student when, not can be used to demonstrate, for student, the aids to object teaching that Goldbach's Conjecture necessarily sets up；nullThe Goldbach's Conjecture of present invention invention proves that coordinate plane demonstration device compensate for this deficiency，Demonstrated by the most concrete teaching aid，Disclose the Mysterious Veil that Goldbach's Conjecture is unattainable，The application concept be familiar with of pupil and simple addition formula，By the principles of science and the technical scheme of the present invention，Build space and two class mathematical modeies of plane，Middle school student are guided to probe into、Understand and prove the major principle of Goldbach's Conjecture，Within particularly 2012, the newly organized high school mathematics in People's Education Publishing House takes as an elective course the class of content reasonable speculation and the mathematical material instruction Goldbach's Conjecture of proof，The Goldbach's Conjecture of application present invention invention proves coordinate plane demonstration device，In guiding student analogy、Conclude、The aspects such as reasonable speculation，Other content and mathematical model is had to be difficult to the effect substituted，Be conducive to cultivating middle school student and like mathematics、Study science、It agree the spirit climbed，The application present invention，Meet middle school student and can accept principle.

The most in the world, the institution of higher learning of various countries and each Mathematics Research field, when the famous international mathematics difficult problems such as analytic application number theory research Goldbach's Conjecture and 3n+1 guess or other sciences problems do not have any new progress, the Goldbach's Conjecture of present invention invention proves coordinate plane demonstration device, may open up one utilizes spatial model and curve thereof to create new method at Goldbach space application plausible reasonning, completes the proof to Goldbach's Conjecture.

Accompanying drawing explanation

Fig. 1 is the structural representation of the present invention.

Fig. 2 is the coordinate plane demonstration board schematic diagram of the present invention.

Fig. 3 is coordinate plane check board 1 schematic diagram of the present invention.

Fig. 4 is coordinate plane surface-mounted integrated circuit 2 schematic diagram of the present invention.

Fig. 5 is odd number prime number base addition formula number ordinate plate 3 schematic diagram of the present invention.

Fig. 6 is odd number prime number base addition formula prism bottom cut board 4 schematic diagram of the present invention.

Fig. 7 is mobile contact interchange switching 8 schematic diagram of the present invention.

Fig. 8 is the odd number table of primes schematic diagram of the present invention.

Fig. 9 is that the odd number prime number basis representation of the present invention is intended to.

Figure 10 is triangle table schematic diagram on the odd number prime number base addition formula of the present invention.

Figure 11 is the demonstration conclusion plane mathematical model curve schematic diagram of the present invention.

Figure 12 is the odd number prime number base addition formula prism schematic diagram of the present invention.

Figure 13 is the generalized coordinates plane demonstration board schematic diagram of the present invention.

Figure 14 is pedestal 9 schematic diagram of the present invention.

Label declaration in figure

1 coordinate plane check board, 2 coordinate plane surface-mounted integrated circuits, 3 odd number prime number base addition formula number ordinate plates, 4 odd number prime number base addition formula prism bottom cut boards, 5 one formulas prove that demarcation line, 6 most formulas prove demarcation line, 7 double-basis theorem proving demarcation line, 8 mobile contact interchange switchings, 9 pedestals

Detailed description of the invention

The detailed construction of the present invention, application principle, effect and effect, seen accompanying drawing 1-Figure 14, be explained by following embodiment.

See Fig. 1, the Goldbach's Conjecture of present invention invention proves the structural representation of coordinate plane demonstration device, it is characterised in that: proved that demarcation line 5, most formula prove that demarcation line 6, double-basis theorem proving demarcation line 7, mobile contact interchange switching 8 and pedestal 9 are constituted by coordinate plane check board 1, coordinate plane surface-mounted integrated circuit 2, odd number prime number base addition formula number ordinate plate 3,4, formula of odd number prime number base addition formula prism bottom cut board；The most sequentially it is fixed on pedestal 9 through the circular hole near each corner on odd number prime number base addition formula prism bottom cut board 4, odd number prime number base addition formula number ordinate plate 3, coordinate plane surface-mounted integrated circuit 2, coordinate plane check board 1 by 4 cap screw；The form identical with coordinate plane check board 1 upper surface and Word message is had been imprinted with on coordinate plane surface-mounted integrated circuit 2, odd number prime number base addition formula number ordinate plate 3, odd number prime number base addition formula prism bottom cut board 4, the formula also having a purple on odd number prime number base addition formula number ordinate plate 3 and odd number prime number base addition formula prism kerve 4 proves demarcation line 5, article one, blue most formulas prove demarcation line 6, the double-basis theorem proving demarcation line 7 of a black；One positive odd number more than 1, except 1 and its own, does not has other positive approximate number, such positive odd number X_nBeing called odd number prime number, Goldbach's Conjecture is greater than the even number of 5 can be write as two odd number prime numbers and X_i+X_j(X_i≤X_j), odd number prime number X_nDeduct the difference obtained after 1 by half, be designated as x_n, such several x_nBeing called odd number prime number base, the positive even numbers a more than 1 is called Goldbach base, and double-basis theorem refers to that any one Goldbach base a is two odd number prime number bases and x_i+x_j(x_i≤x_j), double-basis theorem is also the Qi Beixiaofubeitelunde theorem that inventor applies that Russia mathematician Qi Beixiaofu proves, it is independently completed a mathematical theorem of theoretical proof, see inventor's " mathematical proof of a Goldbach's Conjecture " literary composition, Vocationl Technical College of Dazhou City journal, the 3-4 phase in 2012, double-basis theorem is main the principles of science of the present invention；The interval [2 determined by Goldbach base a, + ∞) it is called Goldbach space, being divided into stable Goldbach space and fluctuation Goldbach space two class, fluctuation Goldbach space is divided into again without leak fluctuation Goldbach space and leaky fluctuation Goldbach space, by odd number prime number base x_nThe closed interval [2,2x determined_n] it is fluctuation Goldbach space [2～2x_n], stable Goldbach space [2 → x that double-basis theorem determines_n+ 1] and [2 → x_n+1], work as x_nWhen trending towards infinity, it is simply that stablize Goldbach space [2 →+∞]；Ordinate on odd number prime number base addition formula number ordinate plate 3 is to apply to seek ordinate method line by line, or ordinate method is sought in application by column, or application footline determines what ordinate method was obtained；According to the ordinate on odd number prime number base addition formula number ordinate plate 3, a formula can be drawn respectively and prove that demarcation line 5 and most formula prove demarcation line 6, arrange the 2nd odd number prime number base walking to m row and (m-1) row according to the in coordinate plane check board 1, coordinate plane surface-mounted integrated circuit 2, odd number prime number addition formula number ordinate plate 3, the odd number prime number base addition each plate of formula prism bottom cut board 4 the 1st and can draw most formula proof demarcation line 6 and double-basis theorem proving demarcation line 7；In demonstration device, the region W below double-basis theorem proving demarcation line 7 is the subspace that most formula proves the region Q below demarcation line 6, and region Q is the subspace that a formula proves the region U of lower part there.

See Fig. 2, the coordinate plane demonstration board schematic diagram of the present invention, coordinate plane check board 1, coordinate plane surface-mounted integrated circuit 2, odd number prime number base addition formula number ordinate plate 3, form, word and graphical information and a formula on odd number prime number base addition formula prism bottom cut board 4 prove that demarcation line 5, most formula prove that demarcation line 6, double-basis theorem proving demarcation line 7 are all printed on one piece transparent with on machine glass plate, in rectangular shape, it is to make understand and use present invention reference or demonstrate a required model；One odd number more than 2, except 1 and its own, does not has other approximate number, such positive odd number X_nBeing called odd number prime number, Goldbach's Conjecture is greater than the even number of 5 can be write as the sum of two odd number prime numbers, odd number prime number is deducted 1 difference obtained by half, such several x_nBeing called odd number prime number base, positive integer a more than 1 is called Goldbach base, Goldbach base the interval that determines [2 ,+∞) and by odd number prime number base x_nThe interval [2,2x determined_n] all it is called Goldbach space, work as x_nDuring →+∞, Goldbach space [2,2x_nX is worked as in]_nTrend towards during infinity be exactly Goldbach space [2 ,+∞), double-basis theorem refer to all Goldbach bases be all two odd number prime number bases and；In coordinate plane demonstration board the 2nd walk to m row and the 2nd row to n-th row grid be divided into Goldbach space and non-Goldbach space two class, Goldbach space [2, + ∞) in without the region of red light be fluctuation Goldbach space [2～+∞), usable set U represents this region, it is positioned at a formula and proves below demarcation line 5, fluctuation Goldbach space [2～+∞) without the region of amber light be stable Goldbach space [2 →+∞), usable set Q represents this region, it is positioned at most formula and proves below demarcation line 6, wherein, below double-basis theorem proving demarcation line 7, odd number prime number base x by the 1st row_nDetermine its be expert at taxi driver brother De Bahe space [2, x_n+ 1], it is all stable Goldbach space [2 → x_n+ 1], representing with set W, the 1st row are capable with (m+1) intersects the odd number prime number base x in grid_n+1Determine the stable Goldbach space [2 → x of m row_n+1], also represent this region with set Q, being positioned at most formula proves the lower section of boundary 6, it is clear thatThe coordinate plane demonstration board horizontal positioned of the rectangular shape that this transparent organic glass is made, overlook from top to bottom, upper surface is printed on the form identical with coordinate plane check board 1 upper surface and Word message, surface is divided into You Deng district and without lamp district, You Deng district be distributed in the 2nd walk to m row and the 2nd row to n-th row, arranged the 2nd odd number prime number base x walking to m row by the 1st_nThe Goldbach determined respectively interval [2,2x_n] constitute, wherein, x₁=1, x₂=2, x₃=3, x₄=5, x₅=6, x₆=8, x₇=9, x₈=11, x₉=14, x₁₀=15, x₁₁=8, x₁₂=20, x₁₃=21, x₁₄=23, x₁₅=26, x₁₆=20, x₁₇=30 ....Work as x_nTime infinitely great, coordinate plane demonstration board can demonstrate infinite Goldbach space, be designated as [2 ,+∞)；You Deng district is by red light, amber light, green light is in series, the color of installed electric light in being determined grid by the ordinate z of place grid, ordinate be 0 grid be mounted with red light, in 2nd row to the n-th each row of row, ordinate and the constant grid of numeral more than 0 all install green light, ordinate is more than 0 and less than installing amber light in the grid of the ordinate of green light grid, the ordinate of each grid in You Deng district is to seek ordinate method on the basis of a row-wise, or seek ordinate method by column, or footline determines what ordinate method was obtained, district without lamp is called non-Goldbach space, each grid indefinite justice ordinate in district without lamp, for space, form Nei Youdeng district is decorated with 3 demarcation line, it is that a formula proves demarcation line 5 respectively, at most formula proves demarcation line 6, double-basis theorem proving demarcation line 7；1st arranges the 2nd walks to m row and respectively installs a variable resistance, the binding post of each variable resistance left be connected in parallel on power supply be labelled with "+" number positive pole on, the metal stationary contact of the binding post ON switch of each variable resistance right, the metal movable contact of each switch bulb with the 2nd row corresponding row of being expert at respectively is connected, m row is by Goldbach space [2,2x_n] determine 2x_nThe bulb installed in the grid of row draws the metal movable contact having an insulated conductors connection the 1st to arrange (m-1) row switch, especially, the bulb installed in the grid of the 2nd row the 2nd row infall draws to be had an insulated conductors to arrange the 2nd through the 1st to walk to m row and connect with the negative pole that power supply is labelled with "-" number；A switch can only be closed during use every time, Guan Bi either switch, can be formed and make the Guan Bi circuit that in series circuit, all bulbs are luminous, supply voltage in circuit is certain, current intensity is held essentially constant, in the Guan Bi circuit that bulb number is little, variable-resistance resistance is big, and in the Guan Bi circuit that bulb number is many, variable-resistance resistance is little, and the all-in resistance that variable-resistance effect is to ensure that when using each switch in circuit is substantially constant.

See Fig. 3, the coordinate plane check board 1 of the present invention is rectangular shape, the check board made with the material such as plank or steel plate, horizontal positioned, coordinate plane surface-mounted integrated circuit 2 can be born, odd number prime number base addition formula number ordinate plate 3, the conjunction gravity of odd number prime number base addition formula prism bottom cut board 4 and indeformable, upper surface printing several rows some row square grid, the upper left corner is labelled with space coordinates symbol " O → xyz ", top edge line is outer corresponding with row, laterally the abscissa x of mark is 1, 2, 3, 4, 5, 6, ..., left hand edge line is outer corresponding with row, longitudinally the vertical coordinate y of mark is 1, 2, 3, 4, 5, 6, ..., right hand edge line the outer 2nd walks to m row longitudinal arrangement odd number prime number x_nIt is 3,5,7,11,13 ..., it is 6 that outer 2nd row of lower limb line arrange the transversely arranged even number M being more than 5 to n-th, 8,10,12,14 ..., in table, the 1st row the 2nd row are 2 to n-th row each grid transversely arranged Goldbach base a, 3,4,5,6 ..., the 1st arranges the 2nd walks to m row longitudinal arrangement odd number prime number base x_nIt is 1,2,3,5,6 ..., x_n..., according to x_nThe numerical value of+1 determines position, depicts the double-basis theorem proving demarcation line 7 of a black in table.

See Fig. 4, the coordinate plane surface-mounted integrated circuit 2 of the present invention, make rectangular shape, horizontal positioned with transparent insulant, upper surface is printed on form, figure and the Word message identical with coordinate plane check board 1, the 2nd walk to m row and the 2nd row to n-th row arranged the 2nd odd number prime number base x walking to m row by the 1st_nThe Goldbach space [2,2x determined_nAll hole in each grid on] and an electric light is installed, in grid, the electric light of mark circle signs "○" is red light, in grid, the electric light of mark triangle symbol " △ " is green light, below double-basis theorem proving demarcation line 7, all electric lights are green light, remaining electric light is amber light, all electric lights are all connected in circuit, 1st arranges the 2nd walks to each grid internal drilling of m row and is mounted with a variable resistance and a switch, the binding post of variable resistance left be connected in parallel on power supply indicate "+" number positive pole on, the binding post of variable resistance right is connected with the metal stationary contact of the switch static contact being expert at, the electric light series connection that the metal movable contact of switch movable contact and the 2nd row are expert at, m row and 2x_nThe electric light that the grid internal drilling that row intersect is installed draws an insulated conductor, by 2x_nArrange to the 1st row, with the metal moving contact contacting on the 1st switch arranging the grid that (m-1) row intersects, the insulated conductor that bulb in 1st row and the 2nd grid that intersects of row is drawn passes through the 1st and arranges the 2nd and walk to m row and be connected to power supply and indicate on the negative pole of "-" number, bulb in circuit has red light, amber light, green light 3 class, determined by the ordinate of mark on odd number prime number base addition formula number ordinate plate 3, ordinate is the grid installation red light of 0, in 2nd row to the n-th row, in the grid that each row ordinate value more than 0 is constant, or the grid of ordinate maximum all installs green light, the grid that remaining ordinate is not zero installs amber light；nullDuring demonstration，Walk to m row with the on light display odd number prime number base addition formula prism bottom cut board 4 the 2nd and the 2nd row are embedded with 3 articles of different colours metal wires to the n-th row，And a formula of drawn purple proves demarcation line 5 on odd number prime number base addition formula number ordinate plate 3，Blue most formulas prove demarcation line 6，The double-basis theorem proving demarcation line 7 of black，Light also shows that part Goldbach space, all red light places and the non-Goldbach without lamp district are spatially located at a formula and prove above demarcation line 5，One formula proves that below demarcation line 6, the ordinate of each row is not the most 0，Say into without leak，It is used for demonstrating Goldbach's Conjecture's establishment，One formula proves the 1st the existing amber light of lamp below demarcation line 5，Also there is green light，Also show the demarcation line of red light and amber light，Demonstration is for the even number more than 6，Each addition formula X that can write out an odd number prime number_i+X_j(X_i≤X_j), reach to prove the purpose that Goldbach's Conjecture requires, be the easiest natural law；At most formula proves above demarcation line 6 nearly all adjacent with amber light, lower section is all green light, the digital stability no longer changed of ordinate being more than 0 after becoming green light with amber light in each grid demonstrates proof Goldbach's Conjecture, for each even number more than 5, the permanent constant solution of several numbers can be write out；The lower section of double-basis theorem proving demarcation line 7 is all green light, and demonstration proves one of many natural laws of addition formula of Goldbach's Conjecture, is to be arranged the 2nd by the 1st to walk to m row each odd number prime number base x_nThe stable Goldbach space [2, x determined respectively_n+ 1], all in the lower section of double-basis theorem proving demarcation line 5, and the odd number prime number base x in grid is intersected by the 1st row are capable with (m+1)_n+1Determine the stable Goldbach space [2 → x of m row_n+1] all in the lower section of most formulas proof demarcation line 6, demonstration conclusion is easy to promote in theory, determines or judge that application Russia mathematician's Qi Beixiaofu-Bei Telunde theorem proving double-basis theorem is in closed interval [2, x_n+ 1] correctness on and at closed interval [2 → x_n+1Correctness on], works as x_nDuring →+∞, obtain stable Goldbach space in endless range [2 →+∞) stability and without leak, demonstration Goldbach's Conjecture necessarily set up.

See Fig. 5, the odd number prime number base addition formula number ordinate plate 3 of the present invention, it it is cuboid tabular, made by transparent with machine glass plate-like material, horizontal positioned, in the form of upper surface, the 2nd walks to the ordinate z that m row and the 2nd row are noted to the n-th each grid internal standard of row, represents the odd number prime number base addition formula x utilizing the odd number prime number base in " odd number prime number base table " to be that addition obtains and equal to column the 1st row Goldbach base a_i+x_j(x_i≤x_j) number, the formula being decorated with a purple in table proves that the blue most formulas in 5, one, demarcation line prove demarcation line 6 and the double-basis theorem proving demarcation line 7 of a black, 1st arranges the 2nd walks to just all drill through two circular apertures on coordinate plane surface-mounted integrated circuit 2 at two hard contacts of correspondence position switch in each grid of m row, during demonstration, use two cylindrical metal contacts of mobile contact interchange switching 8, through the two circular aperture；Ordinate in Figure 5, is to be constituted 153 addition formula x by 17 odd number prime number bases 1,2,3,5,6,8,9,11,14,15,18,20,21,23,26,29,30_i+x_j(x_i≤x_j) number, different Goldbach base a ordinate z of each grid in the 2nd walks to the 18th row and the 2nd row arrange is determined to the 36th by the size of sum, can apply respectively and ask ordinate method or application to ask ordinate method or application footline to determine to have filled after the calculating of ordinate method is obtained by column line by line, then draw a formula proof demarcation line 5, most formula proof demarcation line 6.

Seek ordinate method line by line: of the present invention ask ordinate method to refer to the form on odd number prime number base addition formula number ordinate plate 3 line by line in, from the beginning of the 2nd row, according to the 1st odd number prime number base x arranging m row_n, take less than or equal to x_nAll odd number prime number bases 1,2,3,5,6,8,9 ..., x_n, it is added two-by-two, at m row, determines and Goldbach space [2,2x_nOn], each Goldbach base a place n-th arranges the odd number prime number base addition formula x of correspondence_i+x_j(x_i≤x_j) and number k, it is simply that the ordinate z of mark in the grid that the n-th row and m row intersect, without corresponding odd number prime number base addition formula, then the ordinate in this grid is 0, is said to be a leak.

Such as, in the form of odd number prime number base addition formula number ordinate plate 3, the 1st arranges the odd number prime number base x of the 2nd row_nIt is 1, seeks ordinate method on the basis of a row-wise, less than or equal to x_nAll odd number prime number bases be unique, it is simply that 1, can only obtain 1 addition formula x_i+x_j(x_i=x_j): 1+1, so can only determine that the ordinate that the 2nd row and the 2nd row intersect in this grid is 1 uniquely, at this moment this special stable Goldbach space can be designated as [2 → 2]；The 1st odd number prime number base x arranging the 3rd row_nBeing 2, seek ordinate method on the basis of a row-wise, all odd number prime number bases less than or equal to 2 are 1,2, thus obtain 3 addition formula x_i+x_j(x_i≤x_j): 1+1,1+2,2+2, i.e. on the basis of the 1st row, increase by two addition formula 1+2,2+2, and be 2 addition formula be 1+1, and be 3 addition formula be 1+2, it is 2+2 with the addition formula for 4, so on the Goldbach space [2,4] determined by odd number prime number base 2, the 1st row Goldbach base 2,3, the ordinate that 4 places respectively arrange on the 3rd row is respectively 1,1,1, at this moment, odd number prime number base 1 and 2 stable Goldbach space [2 → 3] is determined, without leak fluctuation Goldbach space [2～4]；The 1st odd number prime number base x arranging the 4th row_nBeing 3, seek ordinate method on the basis of a row-wise, all odd number prime number bases less than or equal to 3 are 1,2,3, thus obtain 6 addition formula x_i+x_j(x_i≤x_j): 1+1, 1+2, 1+3, 2+2, 2+3, 3+3, i.e. adding on the basis of the 3rd row with 3 is 3 addition formula 1+3 of the 2nd addend, 2+3, 3+3, it is 1+1 with the addition formula for 2, it is 1+2 with the addition formula for 3, it is 1+3 with the addition formula for 4, 2+2, it is 2+3 with the addition formula for 5, it is 3+3 with the addition formula for 6, so the Goldbach space [2 determined at odd number prime number base 3, 6] on, 1st row Goldbach base 2, 3, 4, 5, the ordinate that 6 places respectively arrange on the 4th row is respectively 1, 1, 2, 1, 1, determine stable Goldbach space [2 → 4] and without leak fluctuation Goldbach space [2～6]；The 1st odd number prime number base x arranging the 5th row_nBeing 5, seek ordinate method on the basis of a row-wise, all odd number prime number bases less than or equal to 5 are 1,2,3,5, thus obtain 10 addition formula x_i+x_j(x_i≤x_jnull): 1+1，1+2，1+3，1+5，2+2，2+3，2+5，3+3，3+5，5+5，Adding with 5 is 4 addition formula 1+5 of the 2nd addend，2+5，3+5，5+5，It is 1+1 with the addition formula for 2，It is 1+2 with the addition formula for 3，It is 1+3 with the addition formula for 4，2+2，It is 2+3 with the addition formula for 5，It is 1+5 with the addition formula for 6，3+3，It is 2+5 with the addition formula for 7，It is 3+5 with the addition formula for 8，Do not have with the addition formula for 9，Number is 0，It is 5+5 with the addition formula for 10，So the Goldbach space [2 that odd number prime number base 5 determines，10] on，1st row Goldbach base 2，3，4，5，6，7，8，9，The ordinate that 10 places respectively arrange on the 5th row is respectively 1，2，1，1，2，1，1，0，1，Determine stable Goldbach space [2 → 6] and without leak fluctuation Goldbach space [2～8] and leaky fluctuation Ahmedabad Bach space [2～10]；......；Carrying out like this, until trying to achieve the ordinate of odd number prime number base addition formula number ordinate plate 3 most end a line of the present invention, completing to make.

Seek ordinate method by column: of the present invention ask ordinate method to refer to the form on odd number prime number base addition formula number ordinate plate 3 by column in, from the beginning of the 2nd row, ask the 1st row Goldbach base a place n-th arrange the 2nd walk to after ordinate in each grid of each row, take all odd number prime number bases less than or equal to a-1, it is added two-by-two, at the n-th row, determine and be equal to all addition formula x of a_i+x_j(x_i≤x_j) and number, it is determined that obtain addition formula x_i+x_j(x_i≤x_j2nd addend x in)_jNumber k less than or equal to the addition formula of the 1st odd number prime number base arranging m row, it is simply that the ordinate z of mark in the grid that the n-th row and m row intersect.

Such as, in the form of odd number prime number base addition formula number ordinate plate 3, in the 1st row, Goldbach base 2 place the 2nd arranges, take less than or etc. the odd number prime number base of a-1 only have 1, can only obtain and be 21 addition formula x_i+x_j(x_i=x_j): 1+1 because the 2nd addend is without maximum and minima, have 1 only, thus can only uniquely according to the 1st arrange the 2nd row odd number prime number base 1 place the 2nd row determine the 2nd arrange the 2nd walk to after the ordinate of each row be 1；For Goldbach base 3 place the 3rd arrange, taking the odd number prime number base less than or equal to 2 is 1,2, can only obtain and be 31 addition formula x_i+x_j(x_i<x_j): 1+2 because the 2nd addend is without maximum and minima, have 2 only, thus can only uniquely according to the 1st row odd number prime number base 2 place the 3rd row determine the 3rd arrange the 3rd walk to after the ordinate of each row be 1；For Goldbach base 4 place the 4th arrange, take the odd number prime number base 1,2,3 less than or equal to 3, can only obtain and be 4 two addition formula x_i+x_j(x_i≤x_j): 1+3,2+2, because the 2nd addend x_jMinima be 2, so the coordinate in the 1st row odd number prime number base 2 place the 3rd row and the 4th grid that intersects of row is 1, because x_jWhen being 3, the 2nd addend addition formula less than or equal to 3 has two, thus according to odd number prime number base 3 place the 1st arrange the 4th row may determine that the 4th arrange the 4th walk to after the ordinate of each row be 2；Goldbach base 5 place the 5th is arranged, odd number prime number base less than or equal to 4 is 1,2,3, it is 2+3 with the addition formula for 5, because the 2nd addend 3 is neither maximum, is not minima, unique, thus according to the 1st arrange the 4th row odd number prime number base 3 place the 4th row determine the 4th arrange the 4th walk to after the ordinate of each row be 1；1st row Goldbach base 6,7,8 place is respectively arranged, the ordinate of each row, ask ordinate similar with the 1st row Goldbach base 5 place the 5th row；Goldbach base 9 place the 9th for the 1st row arranges, and the odd number prime number base less than or equal to 8 is 1,2,3,5,6,8, and the addition formula x equal to 9_i+x_j(x_i≤x_j) have two: 1+8,3+6, because the 9 Goldbach spaces [2 determined at odd number prime number base 5,10] in, and the 2nd addend minima 6 is more than 5 in addition formula, so ordinate is in 0 in the grid that odd number prime number base 5 place the 5th row and the 9th row intersect, in the grid that 1st row odd number prime number base 6 place the 6th row and the 9th row intersect, ordinate is 1, by with for 9 odd number prime number base addition formula 1+8, maximum 8 in 2nd addend 8 and 6 in 3+6, according to the 1st row odd number prime number base 8 place the 7th row determine the 9th arrange the 7th walk to after the ordinate of each row be 2；Arranging at the 1st row Goldbach base 10 place the 10th, the odd number prime number base less than or equal to 9 is 1,2,3,5,6,8,9, and the addition formula x equal to 10_i+x_j(x_i≤x_j) have 3: 1+9,2+8,5+5, because Goldbach base 10 is on the Goldbach space [2,10] that odd number prime number base 5 determines, so the 10th row should start to mark ordinate from the 1st row odd number prime number base 5 place the 5th row, again because the second largest value 8 of the 2nd addend arranges the 7th row the 1st, so be can determine that the 10th by 5+5, to arrange the 5th ordinate walking to the 6th row be 1, and the ordinate of the 7th row is 2, and eighth row is 3 to the ordinate of later each row；......；Remaining each row ordinate ask the method for method the same, this meets number k of the addition formula seeking in ordinate method odd number prime number base that the 2nd addend arranges m row less than or equal to the 1st by column, it is simply that m row and the n-th rule arranging ordinate z in the grid intersected.

Footline determines ordinate method: footline of the present invention is determined in the form that ordinate method refers on odd number prime number base addition formula number ordinate plate 3, from the beginning of the m row that vertical coordinate y is maximum, according to the 1st maximum odd number prime number base x arranging m rower note_n, obtain less than x_nThe addition formula x that determines of all odd number prime number bases_i+x_j(x_i≤x_jAfter), addition formula by the magnitude classification of sum, at m row, in Goldbach space [2,2x_n] k the addition formula x of Goldbach base a of upper n-th row_i1+x_j1, x_i2+x_j2..., x_ik+x_jkIn, x_j1＜ x_j2＜ ... < x_jkIf the minima of the 2nd addend is x_j1, just arrange at Goldbach base a place n-th, from the 1st row odd number prime number base x_j1The grid intersected with a column of being expert at starts to mark ordinate, if the maximum of the 2nd addend is x_jk, then determined the 1st row odd number prime number base x by this k addition formula_jkThe place ordinate that after walking to, each row n-th arranges upper each grid is k, scratches x_ik+x_jk, remaining (k-1) individual addition formula determine the 1st row odd number prime number base x_j(k-1)It is expert to x_jkIn being expert at, the n-th ordinate arranging each grid is k-1, then scratches x_i(k-1)+x_j(k-1), remaining (k-2) individual addition formula determine the 1st row odd number prime number base x_j(k-2)It is expert to x_j(k-1)In being expert at, the ordinate of the n-th upper each grid of row is k-2；...；Finally scratch x_i2+x_j2, by remaining 1 addition formula x_i1+x_j1(x_i1≤x_j1) determine the 1st row odd number prime number base x_j1It is expert to x_j2The ordinate being expert in the n-th upper each grid of row is 1；Additionally, in different rows, all arranged, by the 1st, the odd number prime number base x being expert at_nDetermine a Goldbach space [2,2x_n], if certain Goldbach base a is in certain grid in this Goldbach space, there is no again addition formula, just marking ordinate in this grid is natural number 0, if certain Goldbach base a is not in this Goldbach space, then not defining ordinate in this grid, the most non-Goldbach space is without ordinate, wherein, m, n, i, j, k are positive integers；Described determined the 1st row odd number prime number base x by this k addition formula_jkPlace after walking to each row include containing x_jkRow, remaining (k-1) individual addition formula determine the 1st row odd number prime number base x_j(k-1)It is expert to x_jkIt is expert at and is not included containing x_jkRow, remaining (k-2) individual addition formula determine the 1st row odd number prime number base x_j(k-2)It is expert to x_j(k-1)It is expert at and is not included containing x_j(k-1)Row, by remaining 1 addition formula x_i1+x_j1(x_i1≤x_j1) determine the 1st row odd number prime number base x_j1It is expert to x_j2It is expert at and is not included containing x_j2Row.

Such as, determining ordinate method according to footline, seek the ordinate of odd number prime number base addition formula number ordinate plate 3 form Nei Gelie, design vertical coordinate is the coordinate plane of 17, just at odd number prime number radix row 1,2,3,5 ..., x_nIn, take 17 odd number prime number bases 1 from small to large, 2,3,5,6,8,9,11,14,15,18,20,21,23,26,29,30, make the odd number prime number base addition formula x of the present invention shown in Figure 12_i+x_j(x_i≤x_j) upper triangle table, then in the range of Goldbach space [2,60], by the size of Goldbach base a, the number listing corresponding addition formula and addition formula thereof is as follows:

2:1+1, number 1；

3:1+2, number 1；

4:1+3,2+2, number 2；

5:2+3, number 1；

6:1+5,3+3, number 2；

7:1+6,2+5, number 2；

8:2+6,3+5, number 2；

9:1+8,3+6, number 2；

10:1+9,2+8,5+5, number 3；

11:2+9,3+8,5+6, number 3；

12:1+11,3+9,6+6, number 3；

13:2+11,5+8, number 2；

14:3+11,5+9,6+8, number 3；

15:1+14,6+9, number 2；

16:1+15,2+14,5+11,8+8, number 4；

17:2+15,3+14,6+11,8+9, number 4；

18:3+15,9+9, number 2；

19:1+18,5+14,8+11, number 3；

20:2+18,5+15,6+14,9+11, number 4；

21:1+20,3+18,6+15, number 3；

22:1+21,2+20,8+14,11+11, number 4；

23:2+21,3+20,5+18,8+15,9+14, number 5；

24:1+23,3+21,6+18,9+15, number 4；

25:2+23,5+20,11+14, number 3；

26:3+23,5+21,6+20,8+18,11+15, number 5；

27:1+26,6+21,9+18, number 3；

28:2+26,5+23,8+20,14+14, number 4；

29:3+26,6+23,8+21,9+20,11+18,14+15, number 6；

30:1+29,9+21,15+15, number 3；

31:1+30,2+29,5+26,8+23,11+20, number 5；

32:2+30,3+29,6+26,9+23,11+21,14+18, number 6；

33:3+30,15+18, number 2；

34:5+29,8+26,11+23,14+20, number 4；

35:5+30,6+29,9+26,14+21,15+20, number 5；

36:6+30,15+21,18+18, number 3；

37:8+29,11+26,14+23, number 3；

38:8+30,9+29,15+23,18+20, number 4；

39:9+30,18+21, number 2；

40:11+29,14+26,20+20, number 3；

41:11+30,15+26,18+23,20+21, number 4；

42:21+21, number 1；

43:14+29,20+23, number 2；

44:14+30,15+29,18+26,21+23, number 4；

45:15+30, number 1；

46:20+26,23+23, number 2；

47:18+29,21+26, number 2；

48:18+30, number 1；

49:20+29,23+26, number 2；

50:20+30,21+29, number 2；

51:21+30, number 1；

52:23+29,26+26, number 2；

53:23+30, number 1；

54: nothing, number 0；

55:26+29, number 1；

56:26+30, number 1；

57: nothing, number 0；

58:29+29, number 1；

59:29+30, number 1；

60:30+30, number 1.

In the form of odd number prime number base addition formula odd number ordinate plate 3, from the beginning of the 2nd row, ordinate method is determined according to footline, at the 2nd row, because an addition formula corresponding with Goldbach base 2 in the 1st row is 1+1, so the ordinate of each row (including the 18th row) is 1 after the 1st row odd number prime number base 1 place the 2nd is walked to；At the 3rd row, because an addition formula corresponding with Goldbach base 3 in the 1st row is 1+2, so the ordinate of each row (including the 18th row) is 1 after the 1st row odd number prime number base 2 place the 3rd is walked to；At the 4th row, because two the addition formulas corresponding with Goldbach base 4 in the 1st row are 1+3,2+2, because the maximum of the 2nd addend is 3, so the ordinate of each row (including the 18th row) is 2 after the 1st row odd number prime number base 3 place the 4th is walked to, scratch formula 1+3, the 2nd addend 2 of a remaining addition formula 2+2 can determine that ordinate is 1 in the 1st row odd number prime number base 2 place the 3rd row and the 4th grid that intersects of row；At the 5th row, because an addition formula corresponding with Goldbach base 5 in the 1st row is 2+3, so being odd number prime number base by the 2nd addend 3, and arrange the 4th row the 1st, thereby determine that the 5th arrange the 4th walk to after the ordinate of each row (including the 18th row) be 1；At the 6th row, two the addition formulas corresponding with the 1st row Goldbach base 6 are 1+5,3+3, because all addition formula x_i+x_j(x_i≤x_j2nd addend x in)_jMaximum be 5, so the 1st row odd number prime number base 5 place the 5th row can determine that the 6th arrange the 5th walk to after the ordinate of each row (including the 18th row) be 2, scratch formula 1+5, remaining 1 formula 3+3 determines that the 6th ordinate arranging the 4th row is 1,6th arranges the 2nd walks to the 3rd behavior non-Goldbach space, does not define ordinate；At the 7th row, two the addition formulas corresponding with the 1st row Goldbach base 7 are 1+6,2+5, because all addition formula x_i+x_j(x_i≤x_j) the 2nd addend x_jMinima be 5, so the ordinate of the 7th row should be started to mark from the 1st row odd number prime number base 5 place the 5th row, because all addition formula x_i+x_j(x_i≤x_j2nd addend x in)_jMaximum be 6, so by the 1st row odd number prime number base 6 place the 6th row can determine that the 7th arrange the 6th walk to after the ordinate of each row (including the 18th row) be 2, scratch formula 1+6, being determined the 7th by remaining 1 formula 2+5, to arrange ordinate in the grid that the 5th row intersects be 1, and the 7th arranges the 2nd walks to the 4th and capable do not define ordinate；In arranging the 8th, the addition formula corresponding with the 1st row Goldbach base 8 is 2+6,3+5, determines that the ordinate of the 8th ordinate arranging each row and the 7th each row of row is identical；In arranging the 9th, it is 1+8,3+6 with the 1st corresponding two the addition formulas of row Goldbach base 9, because all addition formula x_i+x_j(x_i≤x_j2nd addend x in)_jMaximum be 8, so by the 1st row odd number prime number base 8 place the 7th row determine the 9th arrange the 7th walk to after the ordinate of each row (including the 18th row) be 2, scratch formula 1+8, determined that the coordinate in the grid that the 9th row and the 6th row intersect is 1 by remaining 1 formula 3+6, again because Goldbach base 9 place the 9th arranges the grid intersected with the 5th row, on Goldbach space [2,10], so ordinate is 0 in the 9th row and the grid that intersects of the 5th row；In arranging the 10th, 3 the addition formulas corresponding with Goldbach base 10 are 1+9,2+8,5+5, because all addition formula x_i+x_j(x_i≤x_j) the 2nd addend x_jMaximum be 9, so being determined that the 10th row eighth row is 3 to the ordinate of later each row (including the 18th row) by the 1st row odd number prime number base 9 place eighth row, scratch 1+9, by remaining two addition formula 2+8, 5+5 can determine that ordinate is 2 in the 10th row and the grid that intersects of the 7th row, scratch 2+8 again, by the 2nd addend 5 ＜ 6 ＜ 8 in a remaining formula 5+5, so being determined the 10th by the 1st row odd number prime number base 5 place the 5th row, to arrange the 5th ordinate walking to the 7th row (not including the 7th row) be all 1, ask the 11st row to the 60th ordinate arranging each row, identical with the method seeking each row each row ordinate above.

Ordinate method is sought in application line by line, or application seek ordinate method by column, or apply footline to determine ordinate method, try to achieve the complete correspondent equal of ordinate in " Goldbach's Conjecture proves coordinate plane demonstration device " upper each corresponding grid of same number of rows same number of columns, the inspection of the addition formula in the upper triangle table shown in Figure 12 calculating process can be applied to have the phenomenon of exhaustive addition formula, position, end can also be applied to determine ordinate method and to seek ordinate, go inspection application to seek ordinate method line by line, or the result that application asks ordinate method to try to achieve by column is the most correct；The method that application footline determines ordinate method, it is also possible to do not consider the grid that ordinate is 0, after having asked, first making a formula according to the grid that ordinate is 1 proves demarcation line, then at each row by odd number prime number base x_nThe Goldbach space [2,2x determined_nThe grid not having coordinate in] is mended and is filled out 0, as representing that in Goldbach space, these do not have odd number prime number base addition formula to produce the ordinate that phenomenon is corresponding grid of leak.

See Fig. 2, or see Fig. 5, one formula of the present invention proves that demarcation line 5 is positioned at Goldbach space [2, + ∞) on, the top that the part fluctuation Goldbach space that ordinate is 0 and non-Goldbach space are divided in form, the all grids in Goldbach space of ordinate at least 1 are respectively positioned on a formula and prove marginal lower section, and each row are all without leak, and this Goldbach space is used for demonstrating Goldbach's Conjecture's establishment without the character of leak.

One formula proves the demarcation line practice: on Fig. 2 of the coordinate plane demonstration board schematic diagram of the present invention, or on the schematic diagram of the odd number prime number base addition formula number ordinate plate 3 of the present invention, the formula making the present invention proves demarcation line 5, it is the grid of 1 according to the 2nd row to the n-th row ordinate, occur that the grid that ordinate is 1 draws a purple line segment laterally over first, a purple line segment is longitudinally drawn again between each row, longitudinally linking adjacent two horizontal purple line segments, the formula just having obtained a purple proves demarcation line 5.

At most formula proves the demarcation line practice: see Fig. 2, or see Fig. 5, on Fig. 2 of the coordinate plane demonstration board schematic diagram of the present invention, or on odd number prime number base addition formula number ordinate plate 3 schematic diagram of the present invention, the most formulas making the present invention prove that there is following two method demarcation line 6.

At most formula proves the demarcation line practice 1: occur that the grid of ordinate maximum draws one article of blue line segment laterally over according to the 2nd row first to the n-th row, a blue line segment is longitudinally drawn again between each row, longitudinally link adjacent two blue line segments, be formed for blue most formulas and prove demarcation line 6.

At most formula proves the demarcation line practice 2: see Fig. 2, Fig. 3, Fig. 4, Fig. 5, Fig. 6, Figure 13, according to the 1st odd number prime number base x arranging m row and (m+1) row_nAnd x_n+1, above m row, from xth_nTo xth on the right of row_n+1Horizontal standardized bar blueness line segment on the right of row, more longitudinally link adjacent two blue line segments, also can make most formula and prove demarcation line 6.

The double-basis theorem proving demarcation line practice: see Fig. 2, or see Fig. 5, on Fig. 2 of the coordinate plane demonstration board schematic diagram of the present invention, or on odd number prime number base addition formula number ordinate plate 3 schematic diagram of the present invention, make the double-basis theorem proving demarcation line 7 of the present invention, be positioned at Goldbach space [2, + ∞) on, arranged the 2nd odd number prime number base walking to m row by the 1st to determine, in each row, if the 1st to arrange m row odd number prime number base be x_n, just in m row and xth_nA black line segment is longitudinally drawn in the grid right that+1 row intersect, then at the 1st row to n-th one article of black line segment of picture laterally over arranging each row grid, laterally links adjacent two black line segments, be the formation of a double-basis theorem proving demarcation line 7.

Double-basis theorem is demonstrated in demarcation line 6 and double-basis theorem proving demarcation line 7 to utilize most formula to prove: demonstration is by odd number prime number radix row x in " odd number prime number base table "₁, x₂, x₃, x₄..., x_n-1, x_n, x_n+1Before in, n odd number prime number base determines on odd number prime number base addition formula number ordinate 3 the 1st row odd number prime number base x in form_nThe stable Goldbach space [2 → x of place m row_n+ 1] and stablize Goldbach space [2 → x_n+1], also determine that the fluctuation Goldbach space [2～2x of m row_n] and the fluctuation Goldbach space [2～2x of (m+1) row_n+1]。

Seeing Fig. 6, the odd number prime number base addition formula prism bottom cut board 4 of the present invention, is rectangular shape, horizontal positioned, and in the form of upper surface, the 2nd walks to the m row odd number prime number base x by the 1st row_nDetermine each Goldbach space [2,2x of the 2nd row to the n-th row_nOn], corresponding to the position being labelled with in the grid of ordinate on odd number prime number base addition formula number ordinate plate 3 in each grid, down excavation cuboid groove, it is long and wide the most equal with the length of the base addition formula prism of odd number prime number shown in Figure 12 and wide difference, and the formula installing the obvious purple of metal material color in relevant position proves demarcation line 5, article one, blue most formulas prove demarcation line 6 and the double-basis theorem proving demarcation line 7 of a black, 1st arranges the 2nd walks in each grid of m row just to two circular apertures all drilled through at two hard contacts of switch in correspondence position grid on coordinate plane surface-mounted integrated circuit 2, may pass through two cylindrical metal contacts of mobile contact interchange switching 8；nullOr the grid one_to_one corresponding odd number prime number base addition formula prism bottom cut board 4 with the ordinate on odd number prime number base addition formula number ordinate plate 3，Or with the form on coordinate plane surface-mounted integrated circuit 2 in install red light、The grid one_to_one corresponding of amber light and green light，The groove of the rectangular shape down excavated，For installing by this grid ordinate Decision Height and odd number prime number base addition formula and the addition formula prism of number thereof，As shown in figure 12，The length and width of cuboid groove is respectively equal to the length and width of odd number prime number base addition formula prism，It is deep to be easy to odd number prime number base addition formula prism is installed securely，Premised on ensureing quality and safety，Bottom cut board is all installed odd number prime number base addition formula prism，Just it is made for the acquired utility model patent of inventor " space demonstration device of Goldbach conjecture "，And improve to some extent and innovate.

See Fig. 7, the mobile contact interchange switching 8 of the present invention, it is made up of two cylindrical metal contacts, two circle drums insulation handles and an insulated conductor, two metal contact one end is respectively inserted after in an eradication edge handle, then is formed by connecting with same insulated conductor.Two metal contact being exposed may pass through the odd number prime number base addition formula prism bottom cut board 4 of the present invention and odd number prime number base addition formula number ordinate plate 3 the 1st arrange the 2nd walk to the m each grid of row correspondence position in two circular apertures having drilled through, connect with two hard contacts on switch in the grid of correspondence position on coordinate plane surface-mounted integrated circuit 2, form the series circuit of Guan Bi；nullUse the present invention，A switch can only be closed every time，Use a mobile contact interchange switching 8 insert in odd number prime number addition formula prism bottom cut board 4 the 1st arrange two apertures of m row after，It is then passed through two circular apertures of the correspondence position of odd number prime number base addition formula number ordinate plate 3，Connect with two hard contacts on coordinate plane surface-mounted integrated circuit 2 correspondence position switch，The Goldbach's Conjecture making the present invention proves that coordinate plane demonstration device the 2nd walks to the electric light luminescence of m row，Show the redlight district and yellow-light-area separated by a formula proof demarcation line 5，The yellow-light-area that separates, demarcation line 6 and green zone and the property without leak of ordinate numeral non-zero is proved by most formulas，And the green zone that shown by double-basis theorem proving demarcation line 7 and the mathematical law of the constant stability of ordinate nonzero digit，It is used for demonstrating the natural law that Goldbach's Conjecture sets up.

The present invention imparts knowledge to students for middle and primary schools, the handle on switch on described coordinate plane surface-mounted integrated circuit 2, it will be appreciated that for the symbol of switch on circuit diagram, can not assemble handle, only 1 mobile contact interchange switching 8 of configuration；The present invention is used for the Public Cultural Places such as science and technology center, children's palace, according to practical situation, can not assemble the handle of switch, and configures remote switch, and the handle on coordinate plane surface-mounted integrated circuit 2 can be regarded as the schematic diagram of switch.

See Fig. 8, the odd number table of primes of the present invention, it is that the integer of 0 is plus the integer of the 1st row the n-th row only one of which numerical digit that the left side the 1st arranges position, m row end, it is exactly the odd number prime number of m row and the n-th row infall natural order number in the odd number prime number ordered series of numbers of ascending arrangement in table, natural order be 0 odd number prime number do not exist, also can table be even number prime number 2, the space in this table upper left corner just omits this prime number；Seeking the odd number prime number in table, had a variety of method, wherein, a kind of method is: first, it is determined that 3 is a minimum odd number prime number, for all positive odd number N being more than 3, seeks arithmetic square rootFrom the beginning of 2, ascending, one by one with being less thanPositive integer 2,3,4 ..., remove N, the commercial city of gained is not integer, and being judged as such positive odd number N is odd number prime number.

See Fig. 9, the odd number prime number base table of the present invention, it is that the integer of 0 is plus the integer of the 1st row the n-th row only one of which numerical digit that the left side the 1st arranges position, m row end, it is simply that in table, the odd number prime number base of m row and the n-th row infall is at the odd number prime number radix row 1 of ascending arrangement, 2,3,5,6 ..., x_n... in natural order number, the odd number prime number base x in table_iIt is according to odd number prime number X_iThe difference obtained after subtracting 1 is obtained by half, wherein i=1, and 2,3,4 ..., X_i=2x_i+ 1, or

Seeing Figure 10, triangle table schematic diagram on the odd number prime number base addition formula of the present invention, is to be added two-by-two by the 17 odd number prime number bases less than 30, the addition formula x obtained_i+x_j(x_i≤x_j), horizontal see, the 1st walks to the 17th row, and the 1st addend of each addition formula of each row is the most identical, more perpendicular sees, the 1st row are to the 17th row, and each the 2nd addend arranging each addition formula is the most identical, has 153 addition formulas, has x_i+x_j(x_i=x_j) 17 addition formulas be distributed on the diagonal, also have x_i+x_j(x_i＜ x_j) 136 addition formulas, its number is calculated by arithmetic progression 16, sum formula (the 16+1) × 16/2=136 of 15,14,13,12,11,10,9,8,7,6,5,4,3,2,1；If x_i+x_j(x_i＞ x_j) 136 addition formulas also eject, can be made into odd number prime number base addition formula square formation table, total (17+136+136)=289 addition formula, i.e. addition formula x in table_i+x_jThe 1st addend x_iThere are 17 kinds of systems of selection, the 2nd addend x_jAlso have 17 kinds of systems of selection, the multiplicative principle of permutation and combination number try to achieve, have 17 × 17 kinds of different choice methods, therefore, by 17 odd number prime number bases can write out 289 for proving the addition formula of Goldbach's Conjecture out, the present invention has only used x_i+x_j(x_i≤x_j) formula study and invent, for x_i+x_jFormula in include x_i＞ x_j, x_i=x_j, x_i＜ x_jThe situation of three kinds of situations, determine the ordinate of coordinate plane, as shown in Goldbach's Conjecture's generalized coordinates plane demonstration board of Figure 13, it is possible to be directly verified by " planar demonstrator for Goldbach conjecture " and " Goldbach's Conjecture proves Great Wall figure ", apply and demonstrated.

See Figure 11, the demonstration conclusion plane mathematical model curve of the present invention, it is 1 that transverse axis is marked with abscissa x, 2, 3, 4, 5, 6, ..., accordingly, two row number of lower section mark are Goldbach base 2, 3, 4, 5, 6, ... and large even 6, 8, 10, 12, 14, ..., it is 1 that the longitudinal axis is marked with ordinate y, 2, 3, 4, 5, 6, ..., accordingly, two column of figures of left mark are odd number prime number 3, 5, 7, 11, 13, ... and odd number prime number base 1, 2, 3, 5, 6, 8, ..., wherein, a curve near transverse axis is that a formula proves curve, two other curve is that most formula proves curve and double-basis theorem proving curve；One formula proves that curve is according to Goldbach space on odd number prime number base addition formula number ordinate plate 3The abscissa x that ordinate is 1 and the point that vertical coordinate y determines, with foursquare stain " ■ " mark, then link successively with line segment each point formed；At most formula proves that curve is that vertical coordinate y is expert at and abscissa is odd number prime number base x_nAnd x_n+12 points determined, with the stain of triangle " ▲ " mark, then link each point with line segment successively and formed；Double-basis theorem proving curve be the abscissa that vertical coordinate y is expert at be x_nThe point of+1, with circular stain "●" mark, then links formation successively with line segment；The demonstration conclusion plane mathematical model curve of the application present invention, can demonstrate: a formula proves that curve is near transverse axis, transverse axis and a formula prove to be labelled with " non-Goldbach space " 7 Chinese characters between curve, double-basis theorem proving curve is away from transverse axis, " stablizing Goldbach space " 8 Chinese characters it are labelled with above double-basis theorem proving curve, at most formula proves that curve proves between curve and double-basis theorem proving curve at a formula, belong to without leak fluctuation Goldbach space, double-basis theorem proving curve and a formula prove to be labelled with " without leak fluctuation Goldbach space " 11 Chinese characters between curve；In addition to having several particular value within 10, when independent variable x increases, at most formula proves that the vertical coordinate of curve is always less than the vertical coordinate of double-basis theorem proving curve, the closer x-axis in position, along with independent variable x and y constantly increases, at most formula proves that the position of curve and double-basis theorem proving curve the most no longer changes, become the plane mathematical model of stable regular invariant position, show: during proving Goldbach's Conjecture, what method was the easiest is that one formula of application proves curve, relatively short period of time can be used, it is readily obtained large range of proof, what theory was more difficult is application double-basis theorem proving curve, although needing the longer time, just can obtain large range of proof, but by stable Goldbach space [2 → x_n+ 1] determine the definitiveness of the number that the scope that Goldbach's Conjecture sets up conciliates, be to prove Goldbach's Conjecture's certain maximally effective the easiest conclusion set up in endless range, breach and prove that Goldbach's Conjecture is theoretical and the bottleneck of method；In the range of a formula proves curve and double-basis theorem proving curve determines, can also at random make unending some the irregular irregular curves continuously proving Goldbach's Conjecture that vertical coordinate is different, show: anyone, as long as additional calculation can be done, he can be by the sum that each even number being more than 5 writes out two odd number prime numbers one by one, apply the way of an addition formula demonstration, complete the proof to Goldbach's Conjecture, anyone, only it is to be understood that and the mathematical induction of application middle school period and apagoge, he can apply the way writing out each sum that even number is two odd number prime numbers being more than 5 one by one to prove Goldbach's Conjecture, and according to double-basis theorem, the mathematical proof to Goldbach's Conjecture is completed by mathematical theory method in endless range.

See Figure 12, the odd number prime number base addition formula prism of the present invention, it is the equipment for assisting demonstration, is with abscissa x=22, vertical coordinate y=15, ordinate z=5, odd number prime number base addition formula x in odd number prime number base addition formula number ordinate plate 3_i+x_j(x_i≤x_j) and equal to 23 prism condition design make oneWith the prism of the rectangular shape made transparent with machine glass, from bottom to up, it is carved with 5 odd number prime number base addition formulas successively: 2+21,3+20,5+18,8+15,9+14, is used for proving the existence of the addition formula number identical with ordinate number；The lower section of this prism is the part in the groove inserting odd number prime number base addition formula prism bottom cut board 4, the most also it is decorated with the symbol " 0-xyz " of space coordinates, it is labelled with x=23, y=15, z=5, is used for judging that prism should be arranged in demonstration device and is determined that corresponding grid has dug the position of groove by space coordinates.

Seeing Figure 13, the generalized coordinates plane demonstration board of the present invention, essentially identical with the structure of the coordinate plane demonstration board of the present invention as shown in Figure 2, the ordinate in unique except for the difference that form comprises odd number prime number base addition formula x_i+x_j(x_i＞ x_j) situation, the present invention, when determining the ordinate in form as shown in Fig. 2, Fig. 5, does not accounts for addition formula x_i+x_j(x_i＞ x_j) situation, but, in the conclusion that the patent of invention " Goldbach's Conjecture proves Great Wall figure " declared utility model patent " planar demonstrator for Goldbach conjecture " and the inventor of inventor is demonstrated, x all can occur_i+x_j(x_i＞ x_j) phenomenon, it is considered to solve problem completeness, calculate ordinate, determine and be the addition formula x of Goldbach base a_i+x_jNumber, comprise x_i＜ x_j, x_i=x_j, x_i＞ x_jnull3 kinds of situations，This technical method asking ordinate to manufacture demonstration device，There is popularity and comprehensive，Thus make generalized coordinates plane demonstration board，The guidance equipment demonstrated is carried out as the present invention，In table, a formula proves demarcation line，At most formula proves demarcation line，The marginal character of double-basis theorem proving and effect are essentially identical，Except for the difference that，In one formula proves some grid of demarcation line process，The ordinate of mark is 2，It not 1，And these row do not have the ordinate of 1，But determined such ordinate 2 by forming the addition formula of 1+3 and 3+1 such as，Can be considered the same addition formula substantially belonging to same conclusion，Prove to select any of which addition formula during Goldbach's Conjecture，Some shows the ordinate of 1，It is then shape such as 1+1，This 1 the addition formula identical by two addends of 2+2 determines such ordinate 1，Thus in theory with practice in，The practical function of the present invention，Can be by " space demonstration device of Goldbach conjecture "、The demonstration conclusion such as " planar demonstrator for Goldbach conjecture " and " Goldbach's Conjecture proves Great Wall figure " is united，It is easy to be explained in detail between Goldbach's Conjecture's difference model necessary connection and the cause effect relation of inherence to reader.

See Figure 14, the pedestal 9 of the present invention, by cap screw, nut and bedplate composition, cap screw and nut metal copper material are made, or make with stainless steel material, bedplate is made up of plastics or elastomeric material, cap screw is the most sequentially through odd number prime number base addition formula prism bottom cut board 4, odd number prime number base addition formula number ordinate plate 3, coordinate plane surface-mounted integrated circuit 2, after coordinate plane check board 1, fixed by nut, again the lead screw exposed is arranged on female bedplate, the Goldbach's Conjecture making the present invention proves that coordinate plane demonstration device is placed on horizontal plank or is placed on horizontal glass plate, it is difficult to slide, there is stability and safety.

The entirety of the sum of any two odd number prime number base, by the big minispread of sum, constitute and think 2 first terms, infinite difference series with 1 as tolerance, formed stable Goldbach space [2 →+∞), if it is not, assume Goldbach space [2, + ∞) upper or Goldbach space [2, x_n+ 1] upper leaky a, the most easily prove closed interval [a, 2a] on there is no odd number prime number, with Qi Beixiaofubeitelunde theorem " if real number a >=2; then on closed interval [a; 2a], at least there is an odd prime " contradiction, this has just obtained double-basis theorem: Goldbach base be all two odd number prime number bases and.

Application double-basis theorem, for the positive even numbers M more than 5, must have Goldbach base a=x_i+x_j≥2；Odd number prime number X_n=2x_n+ 1, it is as follows to the formula proving Goldbach's Conjecture that the most useful present invention demonstrates conclusion:

M=2a+2=2 (x_i+x_j)+2=(2x_i+1)+(2x_j+ 1)=X_i+X_j>=6, X_i≤X_j。

1 one formula demonstrations of embodiment

Prove Goldbach's Conjecture with a formula demonstration, formula M=2a+2=2 (x can be applied_i+x_j)+2=(2x_i+1)+(2x_j+ 1)=X_i+X_j>=6, X_i≤X_j, from the beginning of positive even numbers 6, each even number only writes a formula, and the proof procedure and the conclusion that obtain successively are as follows:

By Goldbach base 2=1+1, obtain 6=2 × 2+2=2 × (1+1)+2=(2 × 1+1)+(2 × 1+1)=3+3；

By Goldbach base 3=1+2, obtain 8=2 × 3+2=2 × (1+2)+2=(2 × 1+1)+(2 × 2+1)=3+5；

By Goldbach base 4=1+3, obtain 10=2 × 4+2=2 × (1+3)+2=(2 × 1+1)+(2 × 3+1)=3+7；.......

More than 2 formula demonstration of embodiment

Prove Goldbach's Conjecture with multiple formula demonstrations, formula M=2a+2=2 (x can be applied_i+x_j)+2=(2x_i+1)+(2x_j+ 1)=X_i+X_j>=6, X_i≤X_j, it was demonstrated that Goldbach's Conjecture, to the positive even numbers more than 4, the proof of multiple formula can be written respectively as: such as, as shown in figure 12, as x=22, Goldbach base 23=2+21=3+20=5+18=8+15=9+14, obtain and the even number 48 more than 5 is write as 5 solutions of two odd number prime numbers additions respectively:

1st solution is: 48=2 × 23+2=2 × (2+21)+2=(2 × 2+1)+(2 × 21+1)=5+43；

2nd solution is: 48=2 × 23+2=2 × (3+20)+2=(2 × 3+1)+(2 × 20+1)=7+41；

3rd solution is: 48=2 × 23+2=2 × (5+18)+2=(2 × 5+1)+(2 × 18+1)=11+37；

4th solution is: 48=2 × 23+2=2 × (8+15)+2=(2 × 8+1)+(2 × 15+1)=17+31；

5th solution is: 48=2 × 23+2=2 × (9+14)+2=(2 × 9+1)+(2 × 14+1)=19+29；.......

Embodiment 3 applies demarcation line to judge proof scope

Utilize the present invention to demonstrate, double-basis theorem proving demarcation line and a formula are proved that demarcation line compares and distinguishes, it is determined that prove the scope that Goldbach's Conjecture sets up, it is simple to actual application.

Application odd number prime number radix row 1,2,3,5,6, it is determined that x_n=6, in " Goldbach's Conjecture proves coordinate plane demonstration device ", overlook the 1st row odd number prime number base 6 place the 6th row in form, know that application double-basis theorem proving demarcation line can complete Goldbach base 2 in the range of closed interval [2,7], 3,4,5,6,7 summations, it was demonstrated that Goldbach's Conjecture is in closed interval [6,16] upper establishment, obtaining the solution of each even number, number is most, and at least 1；Applying a formula to prove demarcation line, can complete to sue for peace Goldbach base 2,3,4,5,6,7,8,9,10,11,12 in the range of closed interval [2,12], the solution of each sum is unique, and provable Goldbach is in closed interval [2,26] upper establishment.

Application odd number prime number radix row 1,2,3,5,6,8,9, it is determined that x_n=9, in " Goldbach's Conjecture proves coordinate plane demonstration device ", overlook the 1st row odd number prime number base 9 place eighth row in form, know application double-basis theorem proving demarcation line, can complete Goldbach base 2 in the range of closed interval [2,10], 3,4,5,6,7,8,9,10 summations, it was demonstrated that Goldbach's Conjecture is in closed interval [6,22] setting up, the solution x number obtaining each even number is most, and at least 1；Apply a formula to prove demarcation line, can complete Goldbach base 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18 is sued for peace in the range of closed interval [2,18], it was demonstrated that Goldbach is in closed interval [2,38] upper establishment.

Application odd number prime number radix row 1,2,3,5,6,8,9,11,14,15,18,20, it is determined that x_nnull=20，In " Goldbach's Conjecture proves coordinate plane demonstration device "，Overlook the 1st row odd number prime number base 20 place the 13rd row in form，Know application double-basis theorem proving demarcation line，Can be in closed interval [2，21] in the range of，Complete Goldbach base 2，3，4，5，6，7，8，9，10，11，12，13，14，15，16，17，18，19，20，21 summations，Prove that Goldbach's Conjecture is in closed interval [6，44] upper establishment，A formula is applied to prove demarcation line，Can be in closed interval [2，36] in the range of，Complete Goldbach base 2，3，4，5，6，7，8，9，10，11，12，13，14，15，16，17，18，19，20，21，22，23，24，25，26，27，28，29，30，31，32，33，34，35，36 summations，Prove that Goldbach is in closed interval [6，74] upper establishment.Here do not prove that Goldbach's Conjecture sets up in closed interval [76,82], be because occurring at the 13rd row despite 38=18+20,40=20+20, but 37=14+23,39=18+21, just to there will be in the 14th row or the 15th row.

But, expanded scope, application odd number prime number radix row 1,2,3,5,6,8,9,11,14,15,18,20,21,23,26,29,30,33,35,36,39,41,44,48,50,51,53,54,54, totally 28, maximum x_nnull=54，Application double-basis theorem proving demarcation line，Can be in closed interval [2，55] in the range of，Complete Goldbach base 3，4，5，6，7，8，9，10，11，12，13，14，15，16，17，18，19，20，21，22，23，24，25，26，27，28，29，30，31，32，33，34，35，36，37，38，39，40，41，42，43，44，45，46，47，48，49，50，51，52，53，54，55 summations，Prove that Goldbach's Conjecture is [6，112] upper establishment，A formula is applied to prove demarcation line，Can be in closed interval [2，108] in the range of，Complete Goldbach base 2，3，4，5，6，7，8，9，10，11，12，13，14，15，16，17，18，19，20，21，22，23，24，25，26，27，28，29，30，31，32，33，34，35，36，......，107，108 summations，Prove that Goldbach is [2，218] upper establishment.As follows from 1 addition formula of 2 to 108 each Goldbach bases:

null2=1+1，3=1+2，4=2+2，5=2+3，6=3+3，7=2+5，8=3+5，9=3+6，10=5+5，11=5+6，12=6+6，13=5+8，14=6+8，15=6+9，16=8+8，17=8+9，18=9+9，19=8+11，20=9+11，21=6+15，22=11+11，23=9+14，24=9+15，25=11+14，26=11+15，27=9+18，28=14+14，29=14+15，30=15+15，31=11+20，32=14+18，33=15+18，34=14+20，35=15+20，36=18+18，37=14+23，38=18+20，39=18+21，40=20+20，41=20+21，42=21+21，43=20+23，44=21+23，45=15+30，46=23+23，47=21+26，48=18+30，49=23+26，50=21+29，51=21+30，52=26+26，53=23+30，54=21+33，55=26+29，56=26+30，57=21+36，58=29+29，59=29+30，60=30+30，61=26+35，62=29+33，63=30+33，64=29+35，65=30+35，66=33+33，67=26+41，68=33+35，69=33+36，70=35+35，71=35+36，72=36+36，73=29+44，74=35+39，75=36+39，76=35+41，77=36+41，78=39+39，79=35+44，80=39+41，81=33+48，82=41+41，83=39+44，84=36+48，85=41+44，86=36+50，87=39+48，88=44+44，89=41+48，90=39+51，91=41+50，92=44+48，93=39+54，94=44+50，95=44+51，96=48+48，97=44+53，98=48+50，99=48+51，100=50+50，101=50+51，102=51+51，103=50+53，104=51+53，105=51+54，106=53+53，107=53+54，108=54+54，Had these with from 2 to 108 each corresponding for Goldbach base a addition formulas，Application formula M=2a+2=2 (x_i+x_j)+2=(2x_i+1)+(2x_j+ 1)=X_i+X_j, wherein, X_i≤X_j, it is possible to for the even number more than 4, respectively write out an addition formula, in the range of closed interval [6,218], prove that Goldbach's Conjecture sets up.

Embodiment 4 letter card stablizes Goldbach space

To stable Goldbach space [2 →+∞], stablize Goldbach space [2 → x_n+ 1] and stablize Goldbach space [2 → x_n+1] the demonstration in 3 different Goldbach spaces similar, all assume that this interval leaky a, then can demonstrate,prove there is no odd number prime number on closed interval [a, 2a], with Qi Beixiaofubeitelunde theorem contradiction, this has turned out on these intervals without leak.

By odd number prime number radix row 1,2,3,5,6,8,9,11 ..., x_nThe interval [2, x determined_n+ 1] on, because there are 1+1=2,1+2=3,2+2=4 ..., 1+x_n, summation, until drawing maximum x_nWhen+1 only, itself and all in closed interval [2, x_n+ 1] on, from 2 to x_nEach odd number prime number base and x_nAnd 2+x_n, 3+x_n..., x_n-1+x_n, x_n+x_nThe most not in closed interval [2, x_n+ 1] on, so closed interval [2 → x_n+ 1] there is stability；In like manner, in closed interval [2, x_n+1On], 1,2,3,5,6,8,9,11 ..., x_nWith x_n+ 1 and both greater than x_n+1, the most not interval [2, x_n+1On].Thus judge Goldbach space [2 → x_n+ 1] there is stability.

Embodiment 5 breakthrough bottleneck creates thinking and the method proving Goldbach's Conjecture

In the world, mathematician utilizes the method for the analytic theory of numbers, attempt to be converted by the proposition 1+1+1 that three primes theorem is correct, prove proposition 1+1, or converted by the proposition 1+2 that Chen Jing profit theorem is correct, prove proposition 1+1, blank wall in 200 years, the breakthrough analytic theory of numbers proves the bottleneck of Goldbach's Conjecture, the Goldbach's Conjecture of application present invention invention proves that the most formula of coordinate plane demonstration device proves demarcation line and double-basis theorem proving demarcation line, double-basis theorem proving curve and most formula in conjunction with the demonstration conclusion plane mathematical model curve in Figure 11 prove curve, utilize the odd number prime number base x in " odd number prime number base table "₁, x₂, x₃..., x_n, according to the method seeking prime number, can obtain and compare 2x_n+ 1 big odd number prime number X_n+1, X_n+2, X_n+3..., try to achieve further more than x_nOdd number prime number base x_n+1, x_n+2, x_n+3....First doing the 1st step, checking, as n=1, takes odd number prime number base x_n=x₁Time, Goldbach's Conjecture is at stable Goldbach space [2 → x₂] upper establishment, second step, it is assumed that as n=k, take odd number prime number base x_n=x_kTime, Goldbach's Conjecture is at stable Goldbach space [2 → x_k+1] upper establishment, then reasoning, it was demonstrated that as n=k+1, take odd number prime number base x_n=x_k+1Time, Goldbach's Conjecture is at stable Goldbach space [2 → x_k+2] upper establishment ...；Corresponding therewith, there is Goldbach's Conjecture to set up.This is the natural law found in research process of the present invention, and all readers being familiar with principle of mathematical induction will appreciate that and judge this proof Goldbach thinking and method.

Additionally, by stable Goldbach space [2 → x_n+ 1] and stablize Goldbach space [2 → x_n+1] property without leak and stability can release Goldbach space [2 →+∞) also have without leak and stability, thus by demonstration obtain existing in the demonstration device of the present invention one stablize Goldbach space [2 →+∞) conclusion.

In applying formalization of the present invention and modeled demonstration, inspire people on the basis of existing mathematical concept, theory and method, complete the Strict Proof to Goldbach's Conjecture, be that the application present invention manufactures the effect that mathematical model is demonstrated.

Claims (6)

1. a Goldbach's Conjecture proves coordinate plane demonstration device, it is characterised in that: proved that demarcation line (5), most formula prove that demarcation line (6), double-basis theorem proving demarcation line (7), mobile contact interchange switching (8) and pedestal (9) are constituted by coordinate plane check board (1), coordinate plane surface-mounted integrated circuit (2), odd number prime number base addition formula number ordinate plate (3), odd number prime number base addition formula prism bottom cut board (4), a formula；The most sequentially it is fixed on pedestal (9) through the circular hole near odd number prime number base addition formula prism bottom cut board (4), odd number prime number base addition formula number ordinate plate (3), coordinate plane surface-mounted integrated circuit (2), the upper each corner of coordinate plane check board (1) by 4 cap screw；Coordinate plane surface-mounted integrated circuit (2), odd number prime number base addition formula number ordinate plate (3), the form identical with coordinate plane check board (1) upper surface and Word message is had been imprinted with on odd number prime number base addition formula prism bottom cut board (4), coordinate plane check board (1) and the double-basis theorem proving demarcation line (7) having black that a strip is identical on coordinate plane surface-mounted integrated circuit (2), the formula having a purple on odd number prime number base addition formula number ordinate plate (3) and odd number prime number base addition formula prism bottom cut board (4) proves demarcation line (5), article one, blue most formulas prove demarcation line (6), article one, the double-basis theorem proving demarcation line (7) of black；One positive odd number more than 1, except 1 and its own, does not has other positive approximate number, such positive odd number X_nBeing called odd number prime number, Goldbach's Conjecture is greater than the even number M of 5 can be write as two odd number prime numbers and X_i+X_j(X_i≤X_j), odd number prime number X_nDeduct the difference after 1 by half, such several x_nBeing called odd number prime number base, wherein, n, i, j are positive integers；Positive even numbers a more than 1 is called Goldbach base, double-basis theorem be any one Goldbach base a be all two odd number prime number bases and x_i+x_i(x_i≤x_j), the interval [2 determined by Goldbach base a, + ∞) it is called Goldbach space, it is divided into stable Goldbach space and fluctuation Goldbach space two class, fluctuation Goldbach space is divided into again without leak fluctuation Goldbach space and leaky fluctuation Goldbach space, by odd number prime number base x_nThe closed interval [2,2x determined_n] it is fluctuation Goldbach space [2～2x_n], stable Goldbach space [2 → x that double-basis theorem determines_n+ 1] and [2 → x_n+1], work as x_nWhen trending towards infinity, it is simply that stablize Goldbach space [2 →+∞]；Ordinate on odd number prime number base addition formula number ordinate plate (3) is to apply to seek ordinate method line by line, or application seek ordinate method by column, or apply footline to determine what ordinate method was obtained, according to the ordinate on odd number prime number base addition formula number ordinate plate (3), odd number prime number base addition formula number ordinate plate (3) and odd number prime number base addition formula prism bottom cut board (4) make a formula respectively and proves that demarcation line (5) and most formula prove demarcation line (6)；Double-basis theorems proof methods according to Goldbach's Conjecture, in coordinate plane check board (1), coordinate plane surface-mounted integrated circuit (2), odd number prime number base addition formula number ordinate plate (3), odd number prime number base addition formula prism bottom cut board (4) each plate, it is utilized respectively the 1st to arrange the 2nd odd number prime number base walking to m row and the arrangement of (m+1) row and draw most formula and prove demarcation line (6) and double-basis theorem proving demarcation line (7), wherein, m is positive integer；The region W of lower section, double-basis theorem proving demarcation line (7) is the subspace that most formula proves the region Q of lower section, demarcation line (6), region Q is the subspace that a formula proves the region U of lower section, demarcation line (5), it is used for demonstrating and judges in a big way and complete the proof to Goldbach's Conjecture, by demonstration, people are made directly to judge, according to the scope of odd number prime number base, scope, method and the natural law that Goldbach's Conjecture sets up；

Aforementioned ask ordinate method to refer to the form on odd number prime number base addition formula number ordinate plate (3) line by line in, from the beginning of the 2nd row, according to the 1st odd number prime number base x arranging m row_n, take less than or equal to x_nAll odd number prime number bases 1,2,3,5,6,8,9 ..., x_n, it is added two-by-two, at m row, determines and Goldbach space [2,2x_nOn], each Goldbach base a place n-th arranges the odd number prime number base addition formula x that this grid is corresponding_i+x_j(x_i≤x_j) and number k, it is simply that the ordinate z of mark in the grid that the n-th row and m row intersect, wherein, m, n, z, i, j, k are positive integers；

Aforementioned ask ordinate method to refer to the form on odd number prime number base addition formula number ordinate plate (3) by column in, from the beginning of the 2nd row, ask the 1st row Goldbach base a place n-th arrange the 2nd walk to after ordinate in each grid of each row, take all odd number prime number bases less than or equal to a-1, it is added two-by-two, at the n-th row, all addition formula x that are that determine two odd number prime number bases and that be equal to a_i+x_j(x_i≤x_j) and number, by addition formula x_i+x_j(x_i≤x_j2nd addend x in)_jNumber k less than or equal to the addition formula of the 1st odd number prime number base arranging m row, it is simply that the ordinate z of mark in the grid that the n-th row and m row intersect, wherein, i, j, k, m, n, z, a are positive integers；

Aforementioned footline is determined in the form that ordinate method refers on odd number prime number base addition formula number ordinate plate (3), from the beginning of the m row that vertical coordinate y is maximum, according to the 1st maximum odd number prime number base x arranging m rower note_n, obtain less than x_nThe addition formula x that determines of all odd number prime number bases_i+x_j(x_i≤x_jAfter), addition formula by the magnitude classification of sum, at m row, for Goldbach space [2,2x_n] k the addition formula x of Goldbach base a of upper n-th row_i1+x_j1, x_i2+x_j2..., x_ik+x_jkIn, x_j1＜ x_j2＜ ... ＜ x_jkIf the minima of the 2nd addend is x_j1, just arrange at Goldbach base a place n-th, from the 1st row odd number prime number base x_j1It is expert in the grid intersected with a column and starts to mark ordinate；If the maximum of the 2nd addend is x_jk, then determined the 1st row odd number prime number base x by this k addition formula_jkPlace after walking in each row the ordinate of the n-th upper each grid of row be k, scratch x_ik+x_jk, remaining (k-1) individual addition formula determine the 1st row odd number prime number base x_j(k-1)It is expert to x_jkThe ordinate of the n-th each grid of row of being expert at is k-1, then scratches x_i(k-1)+x_j(k-1), remaining (k-2) individual addition formula determine the 1st row odd number prime number base x_j(k-2)It is expert to x_j(k-1)In being expert at, the ordinate of the n-th upper each grid of row is k-2；...；Finally scratch x_i2+x_j2, by remaining 1 addition formula x_i1+x_j1(x_i1≤x_j1) determine the 1st row odd number prime number base x_j1It is expert to x_j2The ordinate being expert on the n-th row in each grid is 1；In different rows, all arranged, by the 1st, the odd number prime number base x being expert at_nDetermine a fluctuation Goldbach space [2～2x_n], if Goldbach base a is in the grid that this Goldbach space determines, there is no again addition formula, it is said to be this fluctuation Goldbach leak spatially, just in this grid, the ordinate of mark is natural number 0, if Goldbach base a is not in the grid that this Goldbach space determines, the most not defining ordinate, the most non-Goldbach space is without ordinate；

Aforementioned footline determines to be determined the 1st row odd number prime number base x by this k addition formula described in ordinate method_jkPlace after walking to each row include containing x_jkRow, remaining (k-1) individual addition formula determine the 1st row odd number prime number base x_{j (k-1)}It is expert to x_jkIt is expert at and is not included containing x_jkRow, remaining (k-2) individual addition formula determine the 1st row odd number prime number base x_{j (k-2)}It is expert to x_{j (k-1)}It is expert at and is not included containing x_{j (k-1)}Row, by remaining 1 addition formula x_i1+x_j1(x_i1≤x_j1) determine the 1st row odd number prime number base x_j1It is expert to x_j2It is expert at and is not included containing x_j2Row.

Goldbach's Conjecture the most according to claim 1 proves coordinate plane demonstration device, it is characterized in that: described coordinate plane check board (1) is rectangular shape, it is made up of plank or steel plate, horizontal positioned, upper surface printing several rows some row square grid, the upper left corner is labelled with space coordinates symbol " O → xyz ", the abscissa x of the outer laterally mark corresponding with row of top edge line is 1, 2, 3, 4, 5, 6, ..., the vertical coordinate y of the outer longitudinally mark corresponding with row of left hand edge line is 1, 2, 3, 4, 5, 6, ..., right hand edge line the outer 2nd walks to m row from top to down and from small to large longitudinal arrangement odd number prime number X_nIt is 3,5,7,11,13 ..., to the n-th row, from left to right and the most transversely arranged even number M being more than 5 is 6 to outer 2nd row of lower limb line, 8,10,12,14 ..., in table, in the 1st row, the 2nd row arrange in each grid from left to right to n-th and the most transversely arranged Goldbach base a is 2,3,4,5,6 ..., in the 1st row, the 2nd walks in each grid of m row from top to down and longitudinal arrangement odd number prime number base x from small to large_nIt is 1,2,3,5,6 ..., x_n-1, x_n, x_n+1..., and according to x_nThe size of+1 determines position, depicts the double-basis theorem proving demarcation line (7) of a black in table, and wherein, m and n is positive integer.

Goldbach's Conjecture the most according to claim 1 proves coordinate plane demonstration device, it is characterized in that: described coordinate plane surface-mounted integrated circuit (2) is rectangular shape, is made up of transparent insulant, horizontal positioned, in upper surface form, by the 1st row odd number prime number base x_nDetermine respectively the 2nd walks to each Goldbach space [2,2x of m row_nOn], the 1st arrange the 2nd walk to each grid of m row in a variable resistance installing and a switch all walk to m row with the 2nd and arranged to 2x by the 2nd_nArranging the bulb series connection that each grid internal drilling is installed, the binding post of each variable resistance left is connected in parallel on the positive pole of power supply；The metal stationary contact of the binding post of each variable resistance right and switch is connected, and the metal movable contact of each switch is respectively with the 2nd bulb series connection walking to the grid internal drilling installation that m row intersects with the 2nd row, by m row and 2x_nThe remaining binding post of bulb in the grid that row intersect draws an insulated conductors, by 2x_nArrange to the 1st row, right angle bends, extend upwardly to (m-1) OK, the metal movable contact of the switch with installing in the grid that the 1st row and (m-1) row intersect is connected, the remaining binding post of bulb in 2nd row and the 2nd grid that intersects of row draws an insulated conductors, arranges the 2nd by the 1st and walks to m row and turn on the negative pole of power supply；The vertical coordinate that in form, the 1st row grid is expert at is the biggest, variable-resistance resistance is the least, close the switch of m row with closing the on-off ratio of (m-1) row relatively, variable-resistance effect is to make the all-in resistance in series circuit essentially identical respectively, supply voltage is certain, current intensity in circuit is essentially identical, is maintained in the range of being perfectly safe；During demonstration, a switch can only be closed every time, all form the series circuit of a Guan Bi, after closing the 1st switch arranging m row, the 2nd walks to the luminescence of m row all electric lights, shows three kinds of coloured light of red, yellow, and green, electric light all green light of lower section, double-basis theorem proving demarcation line (7), being used for strengthening the effect set up with mathematical model demonstration Goldbach's Conjecture, wherein, m and n is positive integer.

Goldbach's Conjecture the most according to claim 1 proves coordinate plane demonstration device, it is characterized in that: described odd number prime number base addition formula number ordinate plate (3) is rectangular shape, made by transparent with machine glass, horizontal positioned, in the form of upper surface, the 2nd walks to the ordinate z of m row each grid internal standard note, it is to apply to seek ordinate method line by line, or application seek ordinate method by column, or apply footline to determine what ordinate method was obtained, all ordinates represent the odd number prime number base addition formula x being that odd number prime number base additive operation is tried to achieve and equal to column the 1st row Goldbach base a respectively_i+x_j(x_i≤x_j) number, the formula being decorated with a purple in table proves demarcation line (5), article one, blue most formulas prove demarcation line (6) and the double-basis theorem proving demarcation line (7) of a black, 1st arranges the 2nd walks to all drill through two circular apertures at two hard contacts of switch in just upper to coordinate plane surface-mounted integrated circuit (2) each correspondence position grid in each grid of m row, during demonstration, two cylindrical metal contacts of mobile contact interchange switching (8) are inserted the two circular aperture respectively and pass, in each correspondence position grid upper with coordinate plane surface-mounted integrated circuit (2), two hard contacts of switch are connected, wherein, m, z, i, j, a is positive integer.

Goldbach's Conjecture the most according to claim 1 proves coordinate plane demonstration device, it is characterized in that: described odd number prime number base addition formula prism bottom cut board (4) is rectangular shape, being made up of transparent solid material, in the form of upper surface, the 2nd walks to the m row odd number prime number base x by the 1st row_nThe Goldbach space [2,2x determined_nnullOn]，Corresponding to the position being labelled with in the grid of ordinate on odd number prime number base addition formula number ordinate plate (3) in each grid，Down excavate the groove of a cuboid，It is long and wide the most equal with the length of odd number prime number base addition formula prism and wide difference，For installing and fixing this equipment with assistance demo function of odd number prime number base addition formula prism，And relevant position be mounted with three on the metal material stockline of different colours，It is formula proof demarcation line (5) of a purple respectively、Article one, blue most formulas prove demarcation line (6) and the double-basis theorem proving demarcation line (7) of a black，In odd number prime number base addition formula number ordinate plate (3) and odd number prime number base addition formula prism bottom cut board (4) upper surface form, the 1st arranges the 2nd and walks to all drill through two circular apertures at two hard contacts of switch in just upper to coordinate plane surface-mounted integrated circuit (2) each correspondence position grid in each grid of m row，During demonstration，Two cylindrical metal contacts of mobile contact interchange switching (8) are inserted the two circular aperture respectively and pass，Enter two circular apertures of odd number prime number base addition formula number ordinate plate (3) relevant position and pass，In each correspondence position grid upper with coordinate plane surface-mounted integrated circuit (2), two hard contacts of switch are connected，Wherein，M and n is positive integer.

nullGoldbach's Conjecture the most according to claim 1 proves coordinate plane demonstration device，It is characterized in that: during application demonstration device demonstration，Use two metal contact of a mobile contact interchange switching (8)，From top to down，After the 1st layer of odd number prime number addition formula prism bottom cut board (4) the upper 1st of insertion arranges two circular apertures in m row grid respectively，It is each passed through two circular apertures on the upper correspondence position of odd number prime number base addition formula number ordinate plate (3) of the 2nd layer again，Connect with two hard contacts on the switch of coordinate plane surface-mounted integrated circuit (2) correspondence position，The series circuit of a Guan Bi is formed in the surface-mounted integrated circuit (2) being positioned at the 3rd layer，Goldbach's Conjecture is made to prove all electric lights all normal luminous that coordinate plane demonstration device the 2nd walks in each grid of m row，Show the redlight district and yellow-light-area separated by formula proof demarcation line (5)，Also show the yellow-light-area and green zone and the property without leak of ordinate numeral non-zero separated by most formulas proof demarcation line (6)，And green zone and the mathematical law of the constant stability of ordinate nonzero digit in the stable Goldbach space shown by double-basis theorem proving demarcation line (7)，It is used for demonstrating scope and the natural law that Goldbach's Conjecture sets up，Wherein，M is positive integer.