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%I #7 Jan 19 2014 04:43:21
%S 2,5,11,239,1871,4001,4397,6971,12647,12689,13337,13619,15401,19391,
%T 19559,19739,20201,20297,22871,22937,28307,30029,32561,36299,36929,
%U 39569,44279,45497,47441,48767,50069,53897,55871
%N Primes p such that p^4 + p + 1 and p^4 - p - 1 are also prime.
%C Primes in the sequence A236072.
%e 6971 is prime, 6971^4 - 6971 - 1 is prime, and 6971^4 + 6971 + 1 is prime. So 6971 is a member of this sequence.
%o (Python)
%o import sympy
%o from sympy import isprime
%o {print(p) for p in range(10**5) if isprime(p**4+p+1) and isprime(p**4-p-1) and isprime(p)}
%o (PARI) s=[]; forprime(p=2, 55871, if(isprime(p^4+p+1)&&isprime(p^4-p-1), s=concat(s, p))); s \\ _Colin Barker_, Jan 19 2014
%Y Cf. A236072, A236071, A236044.
%K nonn
%O 1,1
%A _Derek Orr_, Jan 19 2014