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A341690
Integer averages of first n primes to the 4th power for some n (A341689(n)/A125907(n)).
0
16, 95591589000729770, 57770815231373815452404527382911050, 15942241394469365582203327807497328235663420076612273764, 89536555153849358635668155008982165719026544119306300984594045157568
OFFSET
1,1
PROG
(Python)
sum = 0
for n in range(1, 10000000000001):
sum += pow(prime[n], 4)
if sum % n == 0:
print(n, prime[n], sum, (sum // n))
CROSSREFS
KEYWORD
nonn,hard,more
AUTHOR
Karl-Heinz Hofmann, Feb 17 2021
EXTENSIONS
a(4) from Martin Ehrenstein, Feb 27 2021
a(5) from Paul W. Dyson, May 09 2024
STATUS
approved