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%I #42 Jul 08 2023 01:16:36
%S 1,43,824747,3171671,767335408183,921649796621,1367268373487,
%T 8978321374181,35467651791527,177538435814203
%N Numbers m that divide 2^8 + 3^8 + ... + prime(m)^8.
%C No other terms up to 10^8. - _Stefan Steinerberger_, Jun 06 2007
%C No other terms up to pi(10^13). - _Charles R Greathouse IV_, Apr 14 2011
%C a(10) > 4*10^13. - _Bruce Garner_, Jul 07 2021
%H OEIS Wiki, <a href="https://oeis.org/wiki/Sums_of_primes_divisibility_sequences">Sums of powers of primes divisibility sequences</a>.
%F Equals A000720 o A232822, i.e., a(n)=PrimePi(A232822(n)). - _M. F. Hasler_, Dec 01 2013
%t s = 0; t = {}; Do[s = s + Prime[n]^8; If[ Mod[s, n] == 0, AppendTo[t, n]], {n, 1000000}]; t
%o (PARI) S=n=0; forprime(p=1,,(S+=p^8)%n++||print1(n",")) \\ _M. F. Hasler_, Dec 01 2013
%K nonn,hard,more
%O 1,2
%A _Alexander Adamchuk_, Feb 03 2007
%E a(4) from _Stefan Steinerberger_, Jun 06 2007
%E a(5)-a(6) from _Paul W. Dyson_, Jan 01 2021
%E a(7) from _Bruce Garner_, Mar 02 2021
%E a(8) from _Bruce Garner_, Mar 30 2021
%E a(9) from _Bruce Garner_, Jul 07 2021
%E a(10) from _Paul W. Dyson_, Jul 07 2023
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