2020年10月6日火曜日

Euler's constant

I found an interesting tweet. This is expanding, and you find pattern so it must be a good tool for AI.
σ(n) is sum of divisors and n is infinite.
(n> 5040)

If you find it, you can disprove the Riemann Hypothesis.
p is the i-th prime number.


ex.

30=2*3*5
900=(2^2)*(3^2)*(5^2)=30^2
27000=(2^3)*(3^3)*(5^3)=30^3




30^α=(2^α)*(3^α)*(5^α)


α=1,2,3,4・・・・


Therefore, you can see this.
Φ is multiplication of infinite prime numbers.
I define that multiplication of fractal is still fractal.
n=5050=2*(5^2)*101
σ(5050)=1+2+5+10+25+50+101+202+505+1010+2525+5050=9486=X
5050 ln(ln 5050)≒10823.43=Y
X/Y≒0.8764

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