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Search: id:A111452
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| A111452 |
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Numbers n such that n divides the square of the sum of the first n primes. |
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+0
1
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| 1, 23, 25, 53, 297, 853, 10043, 11869, 117267, 222975, 241163, 339615, 3538161, 3600489, 25537223, 38576521, 95316169, 96643287
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Each number in this sequence is odd. Every element from A045345 also occurs in this sequence.
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EXAMPLE
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(prime(1)+prime(2)+..+prime(23))^2 = (2+3+5+...+83)^2 = 23*33212
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MATHEMATICA
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s = 0; t = {}; Do[s = s + Prime[n]; If[ Mod[s^2, n] == 0, AppendTo[t, n]], {n, 10^8}]; t (* Robert G. Wilson v *)
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CROSSREFS
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Cf. A045345.
Sequence in context: A090311 A112073 A050864 this_sequence A147627 A025059 A114963
Adjacent sequences: A111449 A111450 A111451 this_sequence A111453 A111454 A111455
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KEYWORD
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nonn
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AUTHOR
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Stefan Steinerberger (hansibal(AT)hotmail.com), Nov 14 2005
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EXTENSIONS
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a(13)-a(18) from Robert G. Wilson v (rgwv(at)rgwv.com), Nov 15 2005
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