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A341689
a(n) is the sum of the 4th power of the first A125907(n) primes.
1
16, 282090779141153551270, 2210712955689035458600206881540015387708550, 48675866046797839528447895106845001955284425583991669795082795118772, 340116502128393540096171523813533871084766138971398067752157768889198596930173282496
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