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A125825 Numbers n such that n divides 2^6 + 3^6 + 5^6 + ... + prime(n)^6. 12
1, 4357, 230065, 32826947, 29578097627, 136736829787 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

MATHEMATICA

s = 0; Do[s = s + Prime[n]^6; If[ Mod[s, n] == 0, Print[n]], {n, 240000}]

PROG

(PARI) s=0; n=0; forprime(p=2, 4e9, s+=p^6; if(s%n++==0, print1(n", "))) \\ Charles R Greathouse IV, Mar 15, 2011

CROSSREFS

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

Sequence in context: A176111 A031654 A164517 * A031564 A140937 A043598

Adjacent sequences:  A125822 A125823 A125824 * A125826 A125827 A125828

KEYWORD

more,nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Feb 03 2007

EXTENSIONS

a(4) from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), May 10 2007

a(5)-a(6) from Charles R Greathouse IV, Mar 15 2011 to Mar 19 2011

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Last modified February 15 12:03 EST 2012. Contains 205782 sequences.