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lpetrich is offline
Jan23-11, 11:10 PM
P: 514
It does not tell us anything about the validity of Goldbach's conjecture, because it does:
Any 2 even primes or 2 odd primes -> sum is an even number

While his conjecture is
Any even number >= 4 = sum of 2 primes

A implies B
is not equivalent to
B implies A

If a positive integer is a prime other than 2, then it is odd
is not equivalent to
If a positive integer is odd, then it is a prime other than 2

If/then -- implication
false -> false -- true
false -> true -- true
true -> false -- false
true -> true -- true

False can imply true, but true cannot imply false.