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 A125826 Numbers m that divide 2^7 + 3^7 + 5^7 + ... + prime(m)^7. 2
 1, 25, 1677, 21875, 538513, 1015989, 18522325, 1130976595, 1721158369, 561122374231, 1763726985077, 2735295422833, 7631117283951, 22809199833151, 46929434362563, 49217568518075, 151990420653423 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See A232865 for prime(a(n)). - M. F. Hasler, Dec 01 2013 a(17) > 5.5*10^13. - Bruce Garner, Aug 30 2021 a(18) > 1.56*10^14. - Paul W. Dyson, Mar 02 2022 LINKS OEIS Wiki, Sums of powers of primes divisibility sequences. MATHEMATICA s = 0; Do[s = s + Prime[n]^7; If[ Mod[s, n] == 0, Print[n]], {n, 25000}] PROG (PARI) s=0; n=0; forprime(p=2, 4e9, s+=p^7; if(s%n++==0, print1(n", "))) \\ Charles R Greathouse IV, Mar 16 2011 CROSSREFS Cf. A232865. Cf. A085450 (smallest m > 1 such that m divides Sum_{k=1..m} prime(k)^n). Cf. A007504, A045345, A171399, A128165, A233523, A050247, A050248. Cf. A024450, A111441, A217599, A128166, A233862, A217600, A217601. Sequence in context: A196299 A196217 A196684 * A263967 A290881 A316911 Adjacent sequences:  A125823 A125824 A125825 * A125827 A125828 A125829 KEYWORD hard,nonn AUTHOR Alexander Adamchuk, Feb 03 2007 EXTENSIONS More terms from Ryan Propper, Mar 26 2007 a(8)-a(9) from Charles R Greathouse IV, Mar 16 2011 a(10) from Paul W. Dyson, Jan 05 2021 a(11)-a(12) from Bruce Garner, Feb 26 2021 a(13) from Bruce Garner, Mar 23 2021 a(14) from Bruce Garner, May 19 2021 a(15)-a(16) from Bruce Garner, Aug 30 2021 a(17) from Paul W. Dyson, Mar 02 2022 STATUS approved

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Last modified August 19 16:39 EDT 2022. Contains 356229 sequences. (Running on oeis4.)