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Primes of the form x^3+x^2+x+2.
2

%I #10 Sep 08 2022 08:45:11

%S 2,5,41,157,401,821,2381,3617,12721,20441,25261,37061,81401,169457,

%T 278917,333341,462541,499361,712981,1168757,1455781,1534217,1615421,

%U 2163461,2705081,3069797,3198281,3605141,4045121,4357481,4519517,4855541

%N Primes of the form x^3+x^2+x+2.

%H Vincenzo Librandi, <a href="/A088547/b088547.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Table[n^3+n^2+n+2,{n,0,2000}],PrimeQ] (* _Vincenzo Librandi_, Jul 16 2012 *)

%o (PARI) polypn(n,p) = { for(x=1,n, if(p%2,y=2,y=1); for(m=1,p, y=y+x^m; ); if(isprime(y),print1(y",")); ) }

%o (Magma) [ a: n in [0..250] | IsPrime(a) where a is n^3+n^2+n+2]; // _Vincenzo Librandi_, Jul 16 2012

%K nonn,easy

%O 1,1

%A _Cino Hilliard_, Nov 17 2003

%E Added the first term (2) by _Vincenzo Librandi_, Jul 16 2012