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A174242
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Least of 3 consecutive integers such that product of them is average of twin prime pairs.
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3
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1, 3, 10, 13, 14, 20, 30, 34, 40, 44, 110, 129, 135, 139, 154, 175, 188, 220, 229, 238, 273, 315, 405, 413, 440, 464, 465, 503, 520, 560, 569, 579, 583, 590, 685, 688, 695, 758, 833, 835, 859, 868, 903, 959, 1025, 1158, 1378, 1538, 1613, 1624, 1659, 1669
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OFFSET
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1,2
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COMMENTS
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1*2*3=6+-1 -> primes, 3*4*5=60+-1 -> primes,...
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LINKS
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MATHEMATICA
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f1[n_]:=PrimeQ[n-1]&&PrimeQ[n+1]; f2[n_]:=n*(n+1)*(n+2); lst={}; Do[If[f1[f2[n]], AppendTo[lst, n]], {n, 8!}]; lst
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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