
Re: Odds and primes
Posted:
Dec 11, 2012 11:04 AM


On Dec 10, 8:16 pm, Akira Bergman <akiraberg...@gmail.com> wrote: > The Naturals (n=0,1,2,3,...) can be divided into two as evens and odds; > > (n) > (2n, 2n+1) > > Each can be further divided following the same rule; > > ((4n, 4n+2), (4n+1, 4n+3)) > > and so on. > > With the split in the odd set (2n+1) into two, would the prime density split smoothly between the two odd sets (4n+1, 4n+3)? Would the primes prefer one against the other?
Start with Dirichlet's theorem http://en.wikipedia.org/wiki/Dirichlet%27s_theorem_on_arithmetic_progressions

