A354831 Primes of the form 3^k + 5^k + 7^k + 11^k + 13^k.
5, 373, 46309, 6732373, 26450599458469, 4317810550653973, 15647143198792684919908583741989, 6864681654384231304317569259724531213945845885866391974437116993829, 5599548608682504162062596274137068329320798013420534505888549721133699842789
Offset: 1
Keywords
Examples
3^2 + 5^2 + 7^2 + 11^2 + 13^2 = 373, which is a prime. 3^4 + 5^4 + 7^4 + 11^4 + 13^4 = 46309, which is a prime.
Programs
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Mathematica
Select[Table[3^n + 5^n + 7^n + 11^n + 13^n,{n,0,1000}],PrimeQ] -
Python
from sympy import isprime from itertools import count, islice def agen(): yield from (p for p in (3**k + 5**k + 7**k + 11**k + 13**k for k in count(0)) if isprime(p)) print(list(islice(agen(), 9))) # Michael S. Branicky, Jun 07 2022