A341690 Integer averages of first n primes to the 4th power for some n (A341689(n)/A125907(n)).

16, 95591589000729770, 57770815231373815452404527382911050, 15942241394469365582203327807497328235663420076612273764

Offset

1,1

Links

Table of n, a(n) for n=1..4.

OEIS Wiki, Sums of powers of primes divisibility sequences.

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

Cf. A122102, A125907, A232869, A128168, A233893.

Sequence in context: A059933 A002488 A330716 * A341689 A243776 A338801

Adjacent sequences: A341687 A341688 A341689 * A341691 A341692 A341693

Keyword

nonn,hard,more

Author

Karl-Heinz Hofmann, Feb 17 2021

Extensions

a(4) from Martin Ehrenstein, Feb 27 2021

Status

approved