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Search: id:A098074
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| A098074 |
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Numbers n such that the sum of the first n primes is divisible by n + 1. |
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+0
1
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| 1, 9, 13, 26, 37, 222, 574, 1405, 1567, 4380, 6821, 7248, 27481, 28067, 68826, 87471, 1223877, 3673808, 8143207, 13245065, 16237421, 46410995, 83214449, 127319479, 145085056, 183943755
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Author?, The First 10,000 Primes
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EXAMPLE
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83214450 * 817931313 = 68063704349072850.
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MATHEMATICA
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s = 0; Do[p = Prime[n]; If[ Mod[s += p, n + 1] == 0, Print[n]], {n, 10^8}]
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PROGRAM
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(PARI) s=0:for(n=1, 100000, s=s+prime(n): if(s%(n+1)==0, print(n))) (Hudson)
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CROSSREFS
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Cf. A000040, A007504.
Sequence in context: A144933 A097539 A107913 this_sequence A032361 A031196 A151725
Adjacent sequences: A098071 A098072 A098073 this_sequence A098075 A098076 A098077
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KEYWORD
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more,nonn
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AUTHOR
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Anne M Donovan (Anned3005(AT)aol.com), Oct 24 2004
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EXTENSIONS
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More terms from Mark Hudson (mrmarkhudson(AT)hotmail.com), Oct 25 2004
Further terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 26 2004
a(24)-a(26) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Sep 03 2008
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