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A176578 Slowest increasing sequence of odd primes such that the partial sums of the sequence from the second on are perfect powers. 3
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 (list; graph; refs; listen; history; text; internal format)
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 * A047062 A150343 A150344

Adjacent sequences:  A176575 A176576 A176577 * A176579 A176580 A176581

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Apr 20 2010

STATUS

approved

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Last modified September 15 16:28 EDT 2019. Contains 327078 sequences. (Running on oeis4.)