On Thursday, 19 July 2012 20:57:27 UTC-3, lut...@gmail.com wrote: > Le jeudi 19 juillet 2012 17:56:46 UTC+2, Timothy Murphy a écrit : > > email@example.com wrote: > > > > > > &gt; The question is, are all even integers the sum of two primes? > > &gt; In other words, could an even integer be the sum of two uneven integers, > > &gt; at least one of them not being a prime? > > > > These two statements do not seem to me to be equivalent. > > Yes, thank you, it would be better to limit the question to: > > Could an even integer be the sum of two uneven integers, > at least one of them not being a prime?
Of course it could: 12 = 3 + 9. You need to show that for every even integer n *there exist* two odd integers, *both of them prime*, that add up to n.