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

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David Petry

Posts: 1,104
Registered: 12/8/04
Re: conjecture on sums of primes
Posted: Apr 18, 2013 12:45 AM
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On Thursday, February 2, 2012 1:35:43 AM UTC-8, Paul 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.

Here's a stronger conjecture which a probabilistic argument suggests is true:

For every N, there is an M, such that every even integer greater than M can be expressed as a sum of two primes in at least N different ways.

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