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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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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, 1881387895, 3896341197, 4009536763, 4220428005, 6542284313, 10972073745
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OFFSET
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1,2
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LINKS
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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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PROG
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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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KEYWORD
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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
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STATUS
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approved
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