A176578 Slowest increasing sequence of odd primes such that the partial sums of the sequence from the second on are perfect powers.

2, 7, 23, 89, 1607, 1753, 2351, 7393, 19543, 20593, 46639, 54449, 284527, 344249, 407791, 512009, 812431, 844433, 1214407, 1316033, 2109671, 2233601, 11251351, 11267777, 13903271, 14449489, 16203287, 16451713, 18219679, 18367721

Offset

1,1

Links

Robert G. Wilson v, Table of n, a(n) for n = 1..70

Mathematica

fQ[n_] := GCD @@ Last /@ FactorInteger@n > 1; p = 3; sp = 2; lst = {2}; While[p < 10^9, If[ fQ[sp + p], AppendTo[lst, p]; Print@p; sp = sp + p]; p = NextPrime@p]; lst

Crossrefs

Cf. A001597, A174722, A137355.

Sequence in context: A150341 A150342 A124190 * A150343 A150344 A150345

Adjacent sequences: A176575 A176576 A176577 * A176579 A176580 A176581

Keyword

nonn

Author

Robert G. Wilson v, Apr 20 2010

Status

approved