

A174722


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


3



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
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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: A283331 A114161 A302199 * 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



