This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A122140 #69 Feb 19 2024 04:36:35
%S A122140 1,25,537,661,5199,113253,240621,5337048977,17434578479,34216676921,
%T A122140 1991831965911,4495321247369,22567781434431,37328883555791,
%U A122140 110447613624133,188368390470877,324587968952249,1983705516917661
%N A122140 Numbers m that divide the sum of cubes of the first m primes A098999(m).
%C A122140 a(19) > 2*10^15. - _Paul W. Dyson_, Feb 18 2024
%H A122140 OEIS Wiki, <a href="https://oeis.org/wiki/Sums_of_primes_divisibility_sequences">Sums of powers of primes divisibility sequences</a>.
%e A122140 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.
%t A122140 s = 0; t = {}; Do[s = s + Prime[n]^3; If[ Mod[s, n] == 0, AppendTo[t, n]], {n, 1000000}]; t
%Y A122140 Cf. A098999.
%K A122140 nonn,more
%O A122140 1,2
%A A122140 _Alexander Adamchuk_, Aug 21 2006
%E A122140 a(8) from _Donovan Johnson_, Oct 15 2012
%E A122140 a(9)-a(10) from _Robert Price_, Mar 29 2013
%E A122140 a(11) from _Paul W. Dyson_, Jan 05 2021
%E A122140 a(12) from _Bruce Garner_, Feb 28 2021
%E A122140 a(13) from _Bruce Garner_, Apr 06 2021
%E A122140 a(14) from _Bruce Garner_, May 13 2021
%E A122140 a(15) from _Bruce Garner_, Jan 08 2022
%E A122140 a(16) from _Paul W. Dyson_, Jan 17 2022
%E A122140 a(17) from _Bruce Garner_, Jul 31 2022
%E A122140 a(18) from _Paul W. Dyson_, Feb 18 2024