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Topic: conjecture on sums of primes
Replies: 13   Last Post: Apr 18, 2013 12:45 AM

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Butch Malahide

Posts: 894
Registered: 6/29/05
Re: conjecture on sums of primes
Posted: Feb 4, 2012 2:39 AM
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On Feb 2, 3:35 am, Paul <pepste...@gmail.com> wrote:
> I conjecture that, for all integers N > 1, there exists an integer E
> such that E can be expressed as the sum of two primes in more than N
> different ways.
>
> Is this conjecture true, false, or unknown?


It follows from the existence of arbitrarily long arithmetic
progressions of primes:

https://en.wikipedia.org/wiki/Green%E2%80%93Tao_theorem



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