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%I #14 May 09 2024 08:29:09
%S 16,95591589000729770,57770815231373815452404527382911050,
%T 15942241394469365582203327807497328235663420076612273764,
%U 89536555153849358635668155008982165719026544119306300984594045157568
%N Integer averages of first n primes to the 4th power for some n (A341689(n)/A125907(n)).
%H OEIS Wiki, <a href="https://oeis.org/wiki/Sums_of_primes_divisibility_sequences">Sums of powers of primes divisibility sequences</a>.
%o (Python)
%o sum = 0
%o for n in range(1, 10000000000001):
%o sum += pow(prime[n], 4)
%o if sum % n == 0:
%o print(n, prime[n], sum, (sum // n))
%Y Cf. A122102, A125907, A232869, A128168, A233893.
%K nonn,hard,more
%O 1,1
%A _Karl-Heinz Hofmann_, Feb 17 2021
%E a(4) from _Martin Ehrenstein_, Feb 27 2021
%E a(5) from _Paul W. Dyson_, May 09 2024