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A125825 Numbers m such that m divides 2^6 + 3^6 + 5^6 + ... + prime(m)^6. 2
1, 4357, 230065, 32826947, 29578097627, 136736829787, 1449657373945 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(8) > 1.8*10^12. - Paul W. Dyson, Jan 08 2021

LINKS

Table of n, a(n) for n=1..7.

OEIS Wiki, Sums of powers of primes divisibility sequences.

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

Sequence in context: A340457 A176111 A164517 * A031564 A217345 A140937

Adjacent sequences:  A125822 A125823 A125824 * A125826 A125827 A125828

KEYWORD

more,nonn

AUTHOR

Alexander Adamchuk, Feb 03 2007

EXTENSIONS

a(4) from Stefan Steinerberger, May 10 2007

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

a(7) from Paul W. Dyson, Jan 08 2021

STATUS

approved

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Last modified May 11 13:41 EDT 2021. Contains 343791 sequences. (Running on oeis4.)