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 A065978 For even k >= 4, let f(k) = A066285(k/2) be the minimal difference between primes p and q whose sum is k. Such a k is in the sequence if f(k) > f(m) for all even m with 4 <= m < k. 7
 4, 8, 16, 44, 92, 242, 256, 272, 292, 476, 530, 572, 682, 688, 1052, 1808, 2228, 3382, 3472, 3502, 3562, 4952, 6194, 7102, 10262, 17008, 20684, 37052, 45128, 49552, 80144, 137414, 251806, 349826, 362534, 742856, 1655152, 1872236, 2108282, 2319728, 2707118 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The values of f(a(n)) (given in A066286) appear to be divisible by 6, except the first two. LINKS Gilmar Rodriguez Pierluissi, Table of n, a(n) for n = 1..64 (terms 1..50 from Jon Perry, Robert G. Wilson and Dean Hickerson, terms 51..55 from Gilmar Rodriguez Pierluissi, terms 56..63 from Robert G. Wilson v) EXAMPLE 4 = 2+2; the gap is 0. 6=3+3 (0). 8=3+5; the gap is 2, and this is the largest gap to date, so 8 is in the sequence. 10=5+5 (0), 12=5+7 (2), 14=7+7 (0), 16=5+11 (6), so 16 is in the sequence. MATHEMATICA f[n_] := For[p=n/2, True, p--, If[PrimeQ[p]&&PrimeQ[n-p], Return[n-2p]]]; For[n=4; max=-1, True, n+=2, If[f[n]>max, Print[n]; max=f[n]]] CROSSREFS Cf. A066285, A066286, A107926. Sequence in context: A144687 A278377 A065605 * A077447 A337783 A301773 Adjacent sequences:  A065975 A065976 A065977 * A065979 A065980 A065981 KEYWORD nonn,nice AUTHOR Jon Perry, Dec 09 2001 EXTENSIONS More terms from Robert G. Wilson v and Dean Hickerson, Dec 10 2001 Changed offset to 1 (this is a list). - N. J. A. Sloane, Sep 07 2013 STATUS approved

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Last modified October 26 14:28 EDT 2021. Contains 348267 sequences. (Running on oeis4.)