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 A232865 #49 Jan 17 2024 07:49:47
%S A232865 2,97,14293,247997,7979737,15749303,344468591,25934255929,40224745543,
%T A232865 16495569405383,53941465463489,84897825837611,244949151647509,
%U A232865 757938163218799,1594375071689591,1674528348898463,5347819657753523,6152744788157173,47008163075851819
%N A232865 Primes p such that the average of the seventh power of primes up to p is an integer.
%C A232865 Otherwise said, prime(m) such that m divides prime(1)^7 + ... + prime(m)^7.
%C A232865 a(17) > 1877564517734839. - _Bruce Garner_, Aug 30 2021
%C A232865 a(18) > 5493145969370039. - _Paul W. Dyson_, Mar 02 2022
%C A232865 a(19) > 6728882502496787. - _Bruce Garner_, Sep 18 2022
%H A232865 OEIS Wiki, <a href="https://oeis.org/wiki/Sums_of_primes_divisibility_sequences">Sums of powers of primes divisibility sequences</a>
%F A232865 a(n) = prime(A125826(n)).
%o A232865 (PARI) S=n=0;forprime(p=1,,(S+=p^7)%n++||print1(p","))
%Y A232865 Cf. A085450 (smallest m > 1 such that m divides Sum_{k=1..m} prime(k)^n).
%Y A232865 Cf. A007504, A045345, A171399, A128165, A233523, A050247, A050248.
%Y A232865 Cf. A024450, A111441, A217599, A128166, A233862, A217600, A217601.
%K A232865 nonn,more,hard
%O A232865 1,1
%A A232865 _M. F. Hasler_, Dec 01 2013
%E A232865 a(10) from _Paul W. Dyson_, Jan 05 2021
%E A232865 a(11)-a(12) from _Bruce Garner_, Feb 26 2021
%E A232865 a(13) from _Bruce Garner_, Mar 23 2021
%E A232865 a(14) from _Bruce Garner_, May 19 2021
%E A232865 a(15)-a(16) from _Bruce Garner_, Aug 30 2021
%E A232865 a(17) from _Paul W. Dyson_, Mar 02 2022
%E A232865 a(18) from _Bruce Garner_, Sep 18 2022
%E A232865 a(19) from _Paul W. Dyson_, Jan 17 2024