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 A125828 Numbers m that divide 2^8 + 3^8 + ... + prime(m)^8. 4
 1, 43, 824747, 3171671, 767335408183, 921649796621, 1367268373487, 8978321374181 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS No other terms up to 10^8. - Stefan Steinerberger, Jun 06 2007 No other terms up to pi(10^13). - Charles R Greathouse IV, Apr 14 2011 a(9) > 9*10^12. - Bruce Garner, Mar 30 2021 LINKS OEIS Wiki, Sums of powers of primes divisibility sequences. FORMULA A125828 = A000720 o A232822, i.e., a(n)=PrimePi(A232822(n)). - M. F. Hasler, Dec 01 2013 MATHEMATICA s = 0; t = {}; Do[s = s + Prime[n]^8; If[ Mod[s, n] == 0, AppendTo[t, n]], {n, 1000000}]; t PROG (PARI) S=n=0; forprime(p=1, , (S+=p^8)%n++||print1(n", ")) \\ M. F. Hasler, Dec 01 2013 CROSSREFS Sequence in context: A212738 A291993 A228546 * A177417 A116139 A087529 Adjacent sequences:  A125825 A125826 A125827 * A125829 A125830 A125831 KEYWORD nonn,hard,more AUTHOR Alexander Adamchuk, Feb 03 2007 EXTENSIONS a(4) from Stefan Steinerberger, Jun 06 2007 a(5)-a(6) from Paul W. Dyson, Jan 01 2021 a(7) from Bruce Garner, Mar 02 2021 a(8) from Bruce Garner, Mar 30 2021 STATUS approved

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Last modified May 14 19:53 EDT 2021. Contains 343903 sequences. (Running on oeis4.)