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 A138715 Primes p1 such that p1^2+p2^3=pp are average of twin primes. p1 and p2 consecutive primes, p1 < p2. 0
 23, 103, 1471, 1609, 2389, 2861, 4409, 5011, 5507, 5569, 6263, 7793, 8443, 9623, 11483, 11971, 12007, 17137, 17569, 18457, 19949, 21701, 23017, 23279, 23743, 24907, 26321, 27943, 29017, 29191, 29641, 30881, 32059, 32713, 34213, 34583, 35153, 36523, 36887 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS MATHEMATICA a={}; Do[p1=Prime[n]; p2=Prime[n+1]; pp=p1^2+p2^3; If[PrimeQ[pp-1]&&PrimeQ[pp+1], AppendTo[a, p1]], {n, 16^3}]; Print[a]; atpQ[n_]:=Module[{c=First[n]^2+Last[n]^3}, And@@PrimeQ[{c-1, c+1}]]; Transpose[Select[Partition[Prime[Range[5000]], 2, 1], atpQ]][[1]] (* Harvey P. Dale, Sep 11 2011 *) CROSSREFS Sequence in context: A142192 A129918 A240839 * A096324 A044274 A044655 Adjacent sequences: A138712 A138713 A138714 * A138716 A138717 A138718 KEYWORD nonn AUTHOR Vladimir Joseph Stephan Orlovsky, May 15 2008 EXTENSIONS More terms from Harvey P. Dale, Sep 11 2011 Typo in a(39) corrected by Seth A. Troisi, May 13 2022 STATUS approved

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Last modified December 9 13:46 EST 2022. Contains 358700 sequences. (Running on oeis4.)