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A116656
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Slowest growing sequence of semiprimes having the semiprime-pairwise-sum property: for any i<j, a(i)+a(j) is semiprime.
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3
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4, 6, 51, 115, 511, 5263, 116623, 204091, 823363, 1144363, 78325123, 883337023, 6860264683, 19613836423, 167589841663
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OFFSET
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1,1
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LINKS
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EXAMPLE
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Resulting semiprimes are:
{10,55,119,515,5267,116627},
{57,121,517,5269,116629},
{166,562,5314,116674},
{626,5378,116738},
{5774,117134},
{121886}.
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MATHEMATICA
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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 *)
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CROSSREFS
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KEYWORD
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more,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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