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A125907 Numbers n such that n divides 2^4 + 3^4 + 5^4 + ... + prime(n)^4. 12
1, 2951, 38266951 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

No more terms to 10^13. [Charles R Greathouse IV, Mar 21, 2011]

MATHEMATICA

a(1) = 1; s = 2^4; Do[s = s + Prime[2n]^4+Prime[2n+1]^4; If[ Mod[s, 2n+1] == 0, Print[2n+1]], {n, 1, 20000000}]

PROG

(PARI) s=0; n=0; forprime(p=2, 4e9, s+=p^4; if(s%n++==0, print1(n", "))) \\ Charles R Greathouse IV, Mar 21, 2011

CROSSREFS

Cf. A085450, A122142, A122103, A098999, A007504, A045345, A024450, A111441, A122102, A122140.

Sequence in context: A096628 A051024 A177087 * A025514 A204393 A178273

Adjacent sequences:  A125904 A125905 A125906 * A125908 A125909 A125910

KEYWORD

bref,hard,more,nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Feb 04 2007

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Last modified February 17 20:50 EST 2012. Contains 206085 sequences.