From: raycb on 7 Jul 2010 13:35 On Jul 7, 2:30 pm, raycb <ra...(a)live.com> wrote: > Let p be an odd prime larger than 3. Generate pairs of even numbers 2p > + 2 and 2p - 2, 2p + 4 and 2p - 4, 2p + 6 and 2p - 6, and so on, until > 2n is reached, where n is the prime that precedes p. > > Conjecture: each member of a pair can be written as the sum of two > odd primes in a way that both sums share a common prime. It holds for > all p < 100. > > For example: > > 166 = 2*83 > > 164 = 157 + 7 > > 168 = 157 + 11 > > 162 = 157 + 7 > > 170 = 157 + 13 > > 160 = 131 + 29 > > 172 = 131 + 41 > > 158 = 151 + 7 > > 174 = 151 + 23 Should read: 162 = 157 + 5
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