A137355 Slowest-increasing sequence of noncomposite numbers such that the partial sums of the sequence are perfect powers.

1, 3, 5, 7, 11, 37, 61, 71, 11971, 16057, 40697, 46679, 61547, 66889, 177839, 192781, 355643, 407977, 1082099, 1096621, 1100467, 1102537, 3369329, 3402271, 4442993, 4462307, 5293999, 5304701, 7099793, 7104607, 7342633, 7413467, 9448897, 9657503

Offset

1,2

Comments

Also the first differences of A137354.

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, A176578.

Sequence in context: A361898 A230139 A242944 * A147143 A006034 A288716

Adjacent sequences: A137352 A137353 A137354 * A137356 A137357 A137358

Keyword

nonn

Author

R. J. Mathar, Mar 07 2008

Extensions

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

Status

approved