OFFSET
1,2
COMMENTS
a(19) > 2*10^15. - Paul W. Dyson, Feb 18 2024
LINKS
EXAMPLE
a(2) = 25 because 25 is the first number n>1 that divides sum of cubes of the first n primes. A098999(25) mod 25 = (2^3 + 3^3 + 5^3 + ... + 89^3 + 97^3) mod 25 = 0.
MATHEMATICA
s = 0; t = {}; Do[s = s + Prime[n]^3; If[ Mod[s, n] == 0, AppendTo[t, n]], {n, 1000000}]; t
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Alexander Adamchuk, Aug 21 2006
EXTENSIONS
a(8) from Donovan Johnson, Oct 15 2012
a(9)-a(10) from Robert Price, Mar 29 2013
a(11) from Paul W. Dyson, Jan 05 2021
a(12) from Bruce Garner, Feb 28 2021
a(13) from Bruce Garner, Apr 06 2021
a(14) from Bruce Garner, May 13 2021
a(15) from Bruce Garner, Jan 08 2022
a(16) from Paul W. Dyson, Jan 17 2022
a(17) from Bruce Garner, Jul 31 2022
a(18) from Paul W. Dyson, Feb 18 2024
STATUS
approved