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A125826
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Numbers m that divide 2^7 + 3^7 + 5^7 + ... + prime(m)^7.
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2
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1, 25, 1677, 21875, 538513, 1015989, 18522325, 1130976595, 1721158369, 561122374231, 1763726985077, 2735295422833, 7631117283951, 22809199833151, 46929434362563, 49217568518075, 151990420653423
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OFFSET
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1,2
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COMMENTS
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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
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LINKS
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Table of n, a(n) for n=1..17.
OEIS Wiki, Sums of powers of primes divisibility sequences.
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MATHEMATICA
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s = 0; Do[s = s + Prime[n]^7; If[ Mod[s, n] == 0, Print[n]], {n, 25000}]
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PROG
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(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
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CROSSREFS
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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
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KEYWORD
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hard,nonn
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AUTHOR
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Alexander Adamchuk, Feb 03 2007
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EXTENSIONS
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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
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STATUS
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approved
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