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

Author

Robert G. Wilson v, Apr 20 2010

Keywords

• nonn

Links

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

Crossrefs

Cf. A001597, A174722, A137355.

Programs

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