A098074 Numbers n such that the sum of the first n primes is divisible by n + 1.

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

Offset

1,2

Links

Giovanni Resta, Table of n, a(n) for n = 1..46 (terms < 2.5*10^12)

Chris Caldwell, The First 10,000 Primes

Example

83214450 * 817931313 = 68063704349072850.

Mathematica

s = 0; Do[p = Prime[n]; If[ Mod[s += p, n + 1] == 0, Print[n]], {n, 10^8}]

Prog

(PARI) s=0; for(n=1, 100000, s=s+prime(n); if(s%(n+1)==0, print(n))) (Hudson)

Crossrefs

Cf. A000040, A007504.

Sequence in context: A097539 A107913 A175532 * A366997 A032361 A031196

Adjacent sequences: A098071 A098072 A098073 * A098075 A098076 A098077

Keyword

nonn

Author

Anne M Donovan (Anned3005(AT)aol.com), Oct 24 2004

Extensions

More terms from Mark Hudson (mrmarkhudson(AT)hotmail.com), Oct 25 2004

Further terms from Robert G. Wilson v, Oct 26 2004

a(24)-a(26) from Donovan Johnson, Sep 03 2008

a(27)-a(30) from Donovan Johnson, May 03 2010

a(31)-a(32) from Donovan Johnson, Oct 16 2012

Status

approved