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Search: id:A045345
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| A045345 |
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Numbers n such that n divides sum of first n primes A007504[n]. |
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+0
35
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| 1, 23, 53, 853, 11869, 117267, 339615, 3600489, 96643287, 2664167025, 43435512311
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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a(10) and a(11) were found by Giovanni Resta (Nov 15 2004). He states that there are no other terms for primes p < 4011201392413. See link to Prime Puzzles, Puzzle 31 below. - Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 21 2006
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
The Prime Puzzles & Problems Connection: Puzzle 31.- The Average Prime number, APN(k) = S(Pk)/k.
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MATHEMATICA
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s = 0; t = {}; Do[s = s + Prime[n]; If[ Mod[s, n] == 0, AppendTo[t, n]], {n, 1000000}]; t - Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 21 2006
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CROSSREFS
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Cf. A007504, A024450, A111441, A098999, A122140, A122102, A122141, A122103, A122142.
Sequence in context: A049438 A078854 A078959 this_sequence A133986 A103006 A053236
Adjacent sequences: A045342 A045343 A045344 this_sequence A045346 A045347 A045348
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KEYWORD
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nonn,nice
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AUTHOR
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Jud McCranie (j.mccranie(AT)comcast.net)
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EXTENSIONS
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More terms from Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 21 2006
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