A341689 a(n) is the sum of the 4th power of the first A125907(n) primes.

16, 282090779141153551270, 2210712955689035458600206881540015387708550, 48675866046797839528447895106845001955284425583991669795082795118772, 340116502128393540096171523813533871084766138971398067752157768889198596930173282496

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