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A128167 Numbers n such that n divides 1 + Sum[ Prime[k]^3, {k,1,n} ] = 1 + A098999(n). 6
1, 2, 4, 5, 6, 10, 12, 14, 55, 82, 87, 935, 973, 1168, 1181, 1457, 5457, 7372, 11250, 17978, 25664, 182717, 472931, 2385026, 3002594, 9249715, 21843515, 37468158, 64403264, 87803374, 140933482, 281907048, 342460116 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

MATHEMATICA

k = 0; s = 1; p = 2; lst = {}; While[k < 516862000, s = s + p^3; If[Mod[s, ++k] == 0, AppendTo[lst, k]; Print[{k, p}]]; p = NextPrime@ p]; lst

CROSSREFS

Cf. A000040, A098999, A122140, A128165, A128166, A128168, A128169, A128170, A128171.

Sequence in context: A014871 A029513 A061949 * A162534 A177911 A127092

Adjacent sequences:  A128164 A128165 A128166 * A128168 A128169 A128170

KEYWORD

hard,more,nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Feb 22 2007, Feb 23 2007

EXTENSIONS

Four more terms from Sean A. Irvine (sairvin(AT)xtra.co.nz), Jan 19 2011

a(32) & a(33) from Robert G. Wilson v

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Last modified February 15 12:59 EST 2012. Contains 205788 sequences.