Post by cephalopodo on Jun 16, 2018 18:37:10 GMT
I just wanna take a moment to appreciate the magnificence of the Golden Key, also known as the Euler Product. I can't figure out how to insert math formulas here, so I'll try to sum it up using words. And I'll link a page to the proof of it, cause I don't think I'll be able to do it justice by trying to explain it.
Basically, the Riemann Zeta function of n is equal to the sum of n^-s as n goes to infinity (s being a random number greater than 1, usually). Euler discovered that the sum is equal to the product of (1-p^-s)^-1, where p is all of the primes up to infinity. Cool as shit.
mathworld.wolfram.com/EulerProduct.html
en.wikipedia.org/wiki/Proof_of_the_Euler_product_formula_for_the_Riemann_zeta_function
Basically, the Riemann Zeta function of n is equal to the sum of n^-s as n goes to infinity (s being a random number greater than 1, usually). Euler discovered that the sum is equal to the product of (1-p^-s)^-1, where p is all of the primes up to infinity. Cool as shit.
mathworld.wolfram.com/EulerProduct.html
en.wikipedia.org/wiki/Proof_of_the_Euler_product_formula_for_the_Riemann_zeta_function