摘要:Even number from 1st order fraction to 43rd order fraction, highest total fraction value, no fgsx cut change table
Chapter 6,
Some even numbers [conjecture] solutions and their position diagram
Section 1,
Figure 1,
Even number from 1st order fraction to 43rd order fraction, highest total fraction value, no fgsx cut change table
Chart description:
The opal number is the accumulated value of the order value-added coefficient qxz ; the bold number is the highest complete formula value; the redo number is the accumulation of the inverse reduction coefficient fxs generated by the low-order fraction as the calculation order increases. The highest total expression value of each order is multiplied by * qxz accumulation * fgsx accumulation , and then subtract its maximum number of cut impairments n y value, which is the minimum fractional value of the highest total expression (including the minimum number of solutions of [conjecture]). The purple number is a low-order fraction, less than the 1-point value.
The number table shows,
After the even number reaches the 79th order , the highest order fraction value reaches: 11.7209 .
Its first order fraction value is equal to the third order fraction value.
They are equal to 0.9956 , respectively ;
After an even number reaches the 89th order , its 5th order fraction value is equal to 0.99615 ;
……
The green numerical part is a first- order full-form fraction; the sky blue numerical part is a third -order full-form fraction; the purple numerical part is a fifth -order full-form fraction; the gray-based numerical part is a seven -order full-form fraction.
The number of the horizontal line at the bottom is an even line: 2X ; the vertices on the ( √2 ) diagonal line shown in the figure are the midpoint X of the even number . The red number is the prime number position, and the other colors are odd combined number positions. On the isosceles triangle formed by the perpendicular lines of each vertex on the diagonal line ( √2 ) as the axis of symmetry, the symmetrical numbers of the red voxel numbers appearing on each horizontal line are the solutions to the correlation even number [conjecture] .
The vertical direction is a process of increasing the fractional values of even orders (the solution of [conjecture]) as the order increases and even numbers increase. The highest total fraction value is equal to its formula value, and multiplied by the increase coefficient of the order: qxz cumulative ;
The horizontal direction is its low-order fractional value. As the order of the highest full formula increases, the order fractional value generated is reduced; the value of the low-order full formula should be multiplied by its reverse reduction coefficient respectively: fxs is accumulated .
Figure 4.
Even numbers of the 1st order, 3rd order, and 5th order field, their [conjecture] solutions, and change diagram
Figure 1 ,
Figure 5.
Even number of 3-order digit fields:
2X=50、X=50/2=25=52
【Conception】Schematic diagram
Figure 5, illustration,
The above figure is a diagram of the even 3rd order all-digit field plan.
The figure shows that the vertex of the even-numbered midpoint X is formed from the starting number 1 of the natural number, through the √2 ray↗ , to the midpoint (vertex) number X of the even-numbered midpoint (vertex) number X; then from the midpoint X, through the √2 ray↘, to the even-numbered 2X; the even-numbered line with the even-numbered line of 0 to 2X, the numbers on each horizontal line are the perpendicular line of the vertex X as the digital symmetry axis. The prime numbers on the endpoints on each ↗, ↘ and the horizontal lines are the [conjecture] solutions of the even number 2X. On the slash of ↗, ↘, the total number of odd digits, subtracting the number 1 bit of each prime order, the number of odd digits of the natural number is the number value of the even number containing the [conjecture] solution.
The relationship between graph view and positive and reverse bidirectional numerical axis segments:
From point 0 to the even midpoint X, it is its forward number axis segment;
From the midpoint X, to the even number 2X, is its reverse number axis segment.
On the two positive and negative number axis segments, the two prime numbers in a vertical row are the [conjecture] solution of the even number 2X.
Figure 6.
The first order full formula, as the calculation order increases, its fractional value decreases and changes chart
Description: vertical , {2n y +[2n y s x (n y -1)+2(n y ) ^2 (2n y -1)]/ s x ( s x +2n y )}* qxz
横向, {2n y + [2n y s x (n y -1) +2 (n y ) ^ 2 (2 Y -1)] / s x ( s x + 2n y )} * fxs 累
The bottom horizontal line with arrows is the shrinking areawith the reverse shrink coefficient fxs .
Figure 7.
Even number 2X=18 , 1st order full fraction , odd combined number and prime number distribution diagram
In the isosceles 3-angle type of the entire formula, the perpendicular line of the vertex (9) is the axis of symmetry, and the end points at both ends of each horizontal line are both red numbers, which are both even numbers of the first order full fraction , and the [conjecture] solution to 18 . He has 3 sets of solutions . They are: 7+11, 5+13, 1+17 .
Arithmetic calculation of 1st order of prime numbers :
(3^2-1^2)/2*2/3=8/3=2.666
Formula calculation:
Substitutes x =1, n y =1, qxz =1 into the formulas respectively.
{2n y + [2n y s x (n y -1) +2 (n y ) ^ 2 (2 Y -1)] / s x ( s x + 2n y )} * Qxz 累
=2+(0+2)/3*1
=2.666 (take the integer part)
=2
[Conjecture] The number of solutions, the diagram shows more than the calculation result, and the calculation of the formula is consistent with the even number of [Conjecture] solutions, which contain the minimum number of proof requirements.
Figure 8.
Even number 2X=50 , the highest total expression is the odd combination and prime number distribution diagram of the 3rd order full formula
The diagram shows that the perpendicular line of the vertex (25) is the axis of symmetry, and the two endpoints symmetrical on the isosceles 3-angle horizontal line are both red numbers. They are even 3-order full fractions, and the [conjecture] solution of 2X=50 .
They are, 13+37, 19+31 .
3rd order full fractional arithmetic calculation:
(5^2-3^2)/2*1/3*4/5=32/15=2.133
Formula calculation,
Substitute s x =1, n y =1, qxz =1 , and substitute it into the highest total evaluation formula.
=2+(1+2)/3*5*1
= 2.133 (take the integer part)
=2
The calculation results are consistent with the diagram.
Figure 9.
Even number 98 , the highest total formula is a 5th order full fraction, odd combined number and prime number distribution number table
Even number 98 , its 5th order full fraction [conjecture] solution,
It has 2 groups : 37+61 =98, 31+67 =98 .
In its isosceles 3-angle shape, the perpendicular line of the vertex 49 (middle point) is used as the axis of symmetry , and exists on each horizontal line, respectively, on the red prime number of the two symmetrical end points .
As the calculation order increases, its order fractional value decreases in an orderly manner.
5th order full fractional arithmetic formula : ( 7 ^2 - 5 ^2 )/ 2 *1/ 3 *3/ 5 *6/ 7 =72/35= 2.057
Substitute sx =5, n y =1, qxz =1 , substitute the highest total formula,
=2+(1+2)/5*7*1
=2.057 (take the integer part)
=2
The calculation result of the formula is the same as the diagram.
Figure 10. The highest total fraction of even 98, the odd combined number and prime number distribution diagram of the 5th order total fraction of all fractions
The diagram shows
The highest total fraction of the 5th order, which has: 31+67, 37+61 , 2 sets of [conjecture] solutions.
The calculation results of the total fraction of the three orders are the same as the diagram . The calculation results of the arithmetic of the proof order are the same as the calculation results of the formula, respectively, which are the minimum number of even [conjecture] solutions. They all meet the proof requirements of even [conjecture].
"75" has finished.
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来源:和合天下