A125825 Numbers m that divide 2^6 + 3^6 + 5^6 + ... + prime(m)^6.

1, 4357, 230065, 32826947, 29578097627, 136736829787, 1449657373945, 39153480154471, 275533558444523, 442844575927975, 879110348271737

Offset

1,2

Comments

a(12) > 10^15. - Paul W. Dyson, Nov 19 2024

Links

Table of n, a(n) for n=1..11.

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

Cf. A236182.

Sequence in context: A340457 A176111 A164517 * A031564 A359490 A347603

Adjacent sequences: A125822 A125823 A125824 * A125826 A125827 A125828

Keyword

nonn,hard,more

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

a(8) from Bruce Garner, Jul 10 2021

a(9) from Paul W. Dyson, Oct 21 2022

a(10) from Paul W. Dyson, Oct 31 2022

a(11) from Paul W. Dyson, Dec 08 2022

Status

approved