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A158682
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Numbers n such that 1 plus the sum of the first n primes is divisible by n+1.
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1
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2, 6, 224, 486, 734, 50046, 142834, 170208, 249654, 316585342, 374788042, 2460457826, 2803329304, 6860334656, 65397031524, 78658228038
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| a(17) > pi(4*10^12). [From Donovan Johnson (donovan.johnson(AT)yahoo.com), Jul 02 2010]
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MATHEMATICA
| k = 0; s = 1; p = 2; lst = {}; While[k < 10^9, s = s + p; If[ Mod[s, ++k + 1] == 0, AppendTo[lst, k]; Print[{k, p}]]; p = NextPrime@ p]
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CROSSREFS
| Cf. A153022, A045345, A128165, A000040, A007504, A111441
Sequence in context: A176782 A013083 A110387 * A201626 A100359 A206033
Adjacent sequences: A158679 A158680 A158681 * A158683 A158684 A158685
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KEYWORD
| nonn
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AUTHOR
| Ctibor O. Zizka (c.zizka(AT)email.cz), Mar 24 2009
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EXTENSIONS
| a(6)-a(8) from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 26 2009
a(9)-a(11) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Nov 15 2009
a(12)-a(13) from Ray Chandler (rayjchandler(AT)sbcglobal.net), May 31 2010
a(14)-a(16) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Jul 02 2010
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