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 A334160 Even numbers with a Goldbach partition (p,q), p < q, such that p and q can be written as the sum of two primes. 0
 12, 18, 20, 24, 26, 32, 36, 38, 44, 48, 50, 56, 62, 66, 68, 74, 78, 80, 86, 92, 104, 108, 110, 114, 116, 122, 128, 134, 140, 144, 146, 152, 156, 158, 164, 170, 176, 182, 186, 188, 194, 198, 200, 204, 206, 212, 218, 224, 230, 234, 236, 242, 246, 248, 254, 260, 266 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Eric Weisstein's World of Mathematics, Goldbach Partition Wikipedia, Goldbach's conjecture EXAMPLE 12 is in the sequence since 12 = 7 + 5 (distinct primes), 7 = 5 + 2 (both prime) and 5 = 3 + 2 (both prime). 18 is in the sequence since 18 = 13 + 5 (distinct primes), 13 = 11 + 2 (both prime) and 5 = 3 + 2 (both prime). MATHEMATICA Table[If[Sum[(PrimePi[i - 2] - PrimePi[i - 3]) (PrimePi[2 n - i - 2] - PrimePi[2 n - i - 3]) (PrimePi[i] - PrimePi[i - 1]) (PrimePi[2 n - i] - PrimePi[2 n - i - 1]), {i, n - 1}] > 0, 2 n, {}], {n, 150}] // Flatten CROSSREFS Sequence in context: A025491 A091196 A319229 * A271345 A007624 A036456 Adjacent sequences: A334157 A334158 A334159 * A334161 A334162 A334163 KEYWORD nonn,easy AUTHOR Wesley Ivan Hurt, Apr 16 2020 STATUS approved

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Last modified December 5 01:43 EST 2022. Contains 358572 sequences. (Running on oeis4.)