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A128169 Numbers n such that n divides 1 + Sum[ Prime[k]^5, {k,1,n} ] = 1 + A122103(n). 6
1, 2, 4, 6, 10, 12, 22, 58, 155, 363, 464, 665, 1146, 2870, 3048, 4019, 5931, 8724, 21503, 50439, 67560, 476281, 705570, 4050684, 6956459, 7443590, 10449928, 10799546, 15385564, 17735139, 83325458, 245271750, 255583775 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

MATHEMATICA

p = 2; k = 0; s = 1; lst = {}; While[k < 521330000, s = s + p^5; If[Mod[s, ++k] == 0, AppendTo[lst, k]; Print[{k, p}]]; p = NextPrime@ p]

CROSSREFS

Cf. A000040, A122103, A122142, A128165, A128166, A128167, A128168, A128170, A128171.

Sequence in context: A074645 A125286 A045963 * A095923 A094960 A032396

Adjacent sequences:  A128166 A128167 A128168 * A128170 A128171 A128172

KEYWORD

hard,nonn

AUTHOR

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

EXTENSIONS

a(31) from Sean A. Irvine, Jan 19 2011

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

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Last modified February 15 03:59 EST 2012. Contains 205694 sequences.