|
| |
|
|
A125826
|
|
Numbers m such that m divides 2^7 + 3^7 + 5^7 + ... + prime(m)^7.
|
|
2
|
|
|
|
1, 25, 1677, 21875, 538513, 1015989, 18522325, 1130976595, 1721158369, 561122374231, 1763726985077, 2735295422833, 7631117283951
(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(14) > 10^13. - Bruce Garner, Mar 23 2021
|
|
|
LINKS
|
Table of n, a(n) for n=1..13.
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. 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
|
|
|
STATUS
|
approved
|
| |
|
|
