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Topic: Odds and primes
Replies: 9   Last Post: Dec 11, 2012 4:54 PM

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FredJeffries@gmail.com

Posts: 1,061
Registered: 11/29/07
Re: Odds and primes
Posted: Dec 11, 2012 11:04 AM
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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



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