A236766 - OEIS

%I #7 Feb 01 2014 09:35:50

%S 6,9,7266,115131,380529,536646,636609,818526,922734,1389015,1660119,

%T 2045415,2085726,2262420,2469396,2722260,2836374,2954250,3146904,

%U 3614226,3949770,4062465,4110834,4211499,4400100,5081055,5324424,5434794,5436090

%N Numbers n such that n^4 +/- n +/- 1 are prime for all four possibilities.

%e 380529^4+380529+1 (20967711831335262645811), 380529^4+380529-1 (20967711831335262645809), 380529^4-380529+1 (20967711831335261884753), and 380529^4-380529-1 (20967711831335261884751) are all prime. Thus, 380529 is a member of this sequence.

%o (Python)

%o import sympy

%o from sympy import isprime

%o {print(n) for n in range(10**7) if isprime(n**4+n+1) and isprime(n**4-n+1) and isprime(n**4+n-1) and isprime(n**4-n-1)}

%o (PARI)

%o for(n=1, 5000000, if(isprime(n^4+n+1)&&isprime(n^4-n+1)&&isprime(n^4+n-1)&&isprime(n^4-n-1), print1(n, ","))) \\ _Colin Barker_, Jan 31 2014

%Y Intersection of A236759, A049408, A236761 and A126424.

%K nonn

%O 1,1

%A _Derek Orr_, Jan 30 2014