

A125825


Numbers m such that m divides 2^6 + 3^6 + 5^6 + ... + prime(m)^6.


2




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



