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A137355
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Slowest increasing sequence of non-composite numbers such that the partial sums of the sequence are perfect powers.
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4
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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; internal format)
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OFFSET
| 1,2
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COMMENTS
| Also the first differences of A137354.
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LINKS
| Robert G. Wilson v, Table of n, a(n) for n = 1..70
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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
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CROSSREFS
| Cf. A001597, A174722, A176578.
Sequence in context: A019391 A060771 A061245 * A147143 A006034 A083840
Adjacent sequences: A137352 A137353 A137354 * A137356 A137357 A137358
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KEYWORD
| nonn
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AUTHOR
| R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 07 2008
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EXTENSIONS
| Edited and extended by Robert G. Wilson v (rgwv@rgwv.com), Apr 20 2010
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