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

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• ... 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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> 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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