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Re: On the representation of some even numbers as sums of two prime numbers

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  • djbroadhurst
    ... More generally, if F = {q,r} contains two distinct odd primes, then any one of the infinity of primes of the form p = q*r*x + (q+r)/2 solves the problem,
    Message 1 of 11 , Feb 3, 2011
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      --- In primenumbers@yahoogroups.com,
      "djbroadhurst" <d.broadhurst@...> wrote:

      > We can use one prime in F = {3,5} to wipe out the other:
      > p = 15*x + 19. Then 3 divides 38-5 and 5 divides 38-3:
      > mutual annihilation :-)

      More generally, if F = {q,r} contains two distinct odd primes,
      then any one of the infinity of primes of the form
      p = q*r*x + (q+r)/2 solves the problem, since
      q divides 2*p-r and r divides 2*p-q.

      David (speaking minimal Chinese:-)
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