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 A116656 Slowest growing sequence of semiprimes having the semiprime-pairwise-sum property: for any i
 4, 6, 51, 115, 511, 5263, 116623, 204091, 823363, 1144363, 78325123, 883337023, 6860264683, 19613836423, 167589841663 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS EXAMPLE Resulting semiprimes are: {10,55,119,515,5267,116627}, {57,121,517,5269,116629}, {166,562,5314,116674}, {626,5378,116738}, {5774,117134}, {121886}. MATHEMATICA spQ[n_] := Plus @@ Last /@ FactorInteger[n] == 2; L = {0, 4}; Do[n = L[[-1]] + 1; While[! AllTrue[n + L, spQ], n++]; AppendTo[L, n], {9}]; Rest@ L (* Giovanni Resta, Jun 13 2018 *) CROSSREFS Cf. A001358, A164979, A181620. Sequence in context: A330978 A183369 A241159 * A012933 A013164 A013024 Adjacent sequences: A116653 A116654 A116655 * A116657 A116658 A116659 KEYWORD more,nonn AUTHOR Zak Seidov, Feb 21 2006 EXTENSIONS Three more terms from R. J. Mathar, Jan 23 2008 a(11)-a(12) from Donovan Johnson, Nov 11 2008 a(13) from Donovan Johnson, Jul 22 2011 a(14) from Giovanni Resta, Jun 13 2018 a(15) from Giovanni Resta, Jun 14 2018 STATUS approved

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Last modified March 31 18:24 EDT 2023. Contains 361672 sequences. (Running on oeis4.)