cp's OEIS Frontend

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

%I A125825 #48 Nov 19 2024 22:11:10
%S A125825 1,4357,230065,32826947,29578097627,136736829787,1449657373945,
%T A125825 39153480154471,275533558444523,442844575927975,879110348271737
%N A125825 Numbers m that divide 2^6 + 3^6 + 5^6 + ... + prime(m)^6.
%C A125825 a(12) > 10^15. - _Paul W. Dyson_, Nov 19 2024
%H A125825 OEIS Wiki, <a href="https://oeis.org/wiki/Sums_of_primes_divisibility_sequences">Sums of powers of primes divisibility sequences</a>.
%t A125825 s = 0; Do[s = s + Prime[n]^6; If[ Mod[s, n] == 0, Print[n]], {n, 240000}]
%o A125825 (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
%Y A125825 Cf. A236182.
%K A125825 nonn,hard,more
%O A125825 1,2
%A A125825 _Alexander Adamchuk_, Feb 03 2007
%E A125825 a(4) from _Stefan Steinerberger_, May 10 2007
%E A125825 a(5)-a(6) from _Charles R Greathouse IV_, Mar 15 2011 to Mar 19 2011
%E A125825 a(7) from _Paul W. Dyson_, Jan 08 2021
%E A125825 a(8) from _Bruce Garner_, Jul 10 2021
%E A125825 a(9) from _Paul W. Dyson_, Oct 21 2022
%E A125825 a(10) from _Paul W. Dyson_, Oct 31 2022
%E A125825 a(11) from _Paul W. Dyson_, Dec 08 2022