login
A125828
Numbers m that divide 2^8 + 3^8 + ... + prime(m)^8.
3
1, 43, 824747, 3171671, 767335408183, 921649796621, 1367268373487, 8978321374181, 35467651791527, 177538435814203
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(10) > 4*10^13. - Bruce Garner, Jul 07 2021
FORMULA
Equals 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
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
a(9) from Bruce Garner, Jul 07 2021
a(10) from Paul W. Dyson, Jul 07 2023
STATUS
approved