%I #17 May 09 2024 07:15:21

%S 16,282090779141153551270,2210712955689035458600206881540015387708550,

%T 48675866046797839528447895106845001955284425583991669795082795118772,

%U 340116502128393540096171523813533871084766138971398067752157768889198596930173282496

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

%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