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

16, 95591589000729770, 57770815231373815452404527382911050, 15942241394469365582203327807497328235663420076612273764, 89536555153849358635668155008982165719026544119306300984594045157568

Offset: 1

Author

Karl-Heinz Hofmann, Feb 17 2021

Keywords

• nonn
• hard
• more

Links

• OEIS Wiki, Sums of powers of primes divisibility sequences.

Crossrefs

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

Programs

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))

Extensions

a(4) from Martin Ehrenstein, Feb 27 2021

a(5) from Paul W. Dyson, May 09 2024