. The pattern of prime numbers
The pattern of prime numbers
The pattern of prime numbers

P^2+Σ2P

I found the pattern of prime numbers. It must be ridiculous but it seems to be almost perfect as long as I know. The realm includes infinity, so it is impossible for me to prove it. However, it keeps moving with the same pattern. You may say that it must be a fractal which means that a part includes everything. If you are interested in a long spiral road, read this blog. I will extend a stupid story from prime numbers to the universe.

ρ must be optional odd numbers. Ш is apparent prime numbers such as 2,3,5. In this case, you can ignore 2 because only odd numbers must be the target to expand prime numbers.

If ρ is divided by Ш and you can get the integral answer, it is Шn^2. It must be Composite numbers before Шn^2 such as 15=5*3.

These are not prime numbers.

For example, you can find prime numbers up to 100 by following this theory. 《3、5、7、9、11、13,15、17、19、21、23、25、27、29、31、33、35、37、39、41、43、45、47、49、51、53、55、57、59、61、63、65、67、69、71、73、75、77、79、81、83、85、87、89、91、93、95、97、99》is the odd numbers.

3,5,7 must be the apparent prime numbers because of √100=10.

9 is divided by Ш1=3, so ρ=9 and 9+2(д-1)Ш1 is working.

15、21、27、33、39、45、51、57、63、69、75、81、87、93、99 are not prime numbers.

The next is Ш2=5 and 25 is divided by this number. ρ=25 and 25+2(д-1)Ш2 is working. Therefore 25+2×5=35、25+4×5=45、25+6×5=55、25+8×5=65、25+10×5=75、25+12×5=85、25+14×5=95

35、45、55、65、75、85、95 are not prime numbers.

The next is Ш3=7 and 49 is divided by this number. ρ=49 and 49+2(д-1)Ш3 is working. Therefore 49+2×7=63、49+4×7=77、49+6×7=91

63、77、91 are not prime numbers.

Finally you can find prime numbers by 100.

You can't break this pattern until the end, and you never know. Шn+1 must be expansion of Шn^2+2(д-1)Шn.

This would be fractal. Moreover, this is expressed by squares, so you can say C=αi^2 (i is an imaginary number). For example, Ш2=5=3^2+4i^2=9-4 and Ш3=7=5^2+18i^2=25-18. There is no pattern in C, but it is based on prime numbers.

Moreover, Шn must be P. Here is Riemann's zeta function.

I exclude 2, but ζ(s) is still fractal because of multiplication.

コメント このブログの人気の投稿 The Sylvester-Gallai Theorem The deformation is the mathematical concept. The Sylvester-Gallai Theorem is that a finite set of points in the plane have the proper line through any two of them, and it passes through a third point of the set. Moreover, it must be on the same line. P is the the noncollinear finite set. S(P) is the set of connecting lines in P. p∈P, s∈S(P) p and s are perpendicular, so they are not the ordinary line. (s*,p*) is the smallest distance, and s* is in the ordinary line. l∩P=

l must be the ordinary line. This is the contradiction. l∩S(P) There is the cyclically intersection points (p,x1). x1,・・・xk is on l. Moreover it crosses S. This must be ordinary. You also see the extra dimensions. i lines are determined by P.

Montgomery's pair correlation conjecture

Hybrid orbitals are the explanation of molecular geometry and atomic bonding. This is Montgomery's pair correlation conjecture, which is the pair correlation between pairs of zeros of the Riemann zeta function . γ and γ' are imaginary. This is like piling prime numbers . Methane and hydrogen are gasses. C=C is carbon bonding which is in surface. Gasses move like ↑ ↑ ↓. This is called π bond.

Hybrid orbital

P^2+Σ2P is the pattern of prime numbers which move like atom. This is Carbon. There are 6 electrons. Σ is hybrid, and atomic orbitals are mixtures. Then, you see sp^3. You move one electron in 2S to 2P. This is called promotion. 2S lose one electron. There are 4 hydrogen atoms. This is tetrahedron and sp^3. Methane is CH4. In sp^2 hybridisation, 2S move to 2P. This is triangle and sp^2. Ethylen is C2H4 which is the double bond. C=C is connected tightly.

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  • The Golden Key
  • A part is everything
  • Riemann's zeta function
  • Power Law
  • Inflation
  • The pattern of prime numbers
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