A174722 Slowest increasing sequence of odd primes such that the partial sums of the sequence from the second on are perfect powers.

3, 5, 17, 103, 233, 1367, 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, 18529111

Offset

1,1

Links

Robert G. Wilson v, Table of n, a(n) for n = 1..71

Example

3+5=8, 3+5+17=25, 3+5+17+103=128 are perfect powers, i.e., in A007504.

Mathematica

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

Crossrefs

Cf. A001597, A137355, A176578.

Sequence in context: A372867 A302199 A346791 * A176131 A087858 A191222

Adjacent sequences: A174719 A174720 A174721 * A174723 A174724 A174725

Keyword

nonn

Author

Giovanni Teofilatto, Mar 28 2010

Extensions

Edited and extended by R. J. Mathar, Mar 31 2010

Edited, corrected and extended by Robert G. Wilson v, Apr 20 2010

Status

approved