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A137355 Slowest-increasing sequence of noncomposite numbers such that the partial sums of the sequence are perfect powers. 4
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 (list; graph; refs; listen; history; text; internal format)
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: A061245 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

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Last modified February 20 21:53 EST 2018. Contains 299387 sequences. (Running on oeis4.)