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%I #13 Jun 11 2021 04:58:20
%S 3,7,17,79,17477,19319,49549
%N Numbers k such that (14^k + 5^k)/19 is prime.
%C All terms are primes.
%C a(8) > 10^5. - _Robert Price_, May 20 2013
%t k=14; Do[p=Prime[n]; f=(k^p+5^p)/(k+5); If[ PrimeQ[f], Print[p] ], {n,1,100}]
%o (PARI) is(n)=isprime((14^n+5^n)/19) \\ _Charles R Greathouse IV_, Feb 17 2017
%Y Cf. A057171, A082387, A122853, A128335, A128336, A128337, A128338, A128339, A128340, A128341, A128342.
%Y Cf. A004061, A082182, A121877, A059802.
%Y Cf. A062572, A128344, A128345, A128346, A128347, A128348, A128349, A128350, A128351, A128352, A128353, A128354.
%K hard,more,nonn
%O 1,1
%A _Alexander Adamchuk_, Feb 27 2007
%E a(5)-a(7) from _Robert Price_, May 20 2013
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