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Numbers n such that n^3+2*n^2+1 is prime.
1

%I #13 Sep 08 2022 08:45:40

%S 2,4,8,10,12,14,18,22,34,42,44,48,56,62,64,76,78,80,88,90,100,102,116,

%T 130,134,136,144,146,154,162,168,184,186,212,222,226,230,234,238,248,

%U 260,264,270,282,284,288,300,310,314,316,350,356,378,400,404,418,424

%N Numbers n such that n^3+2*n^2+1 is prime.

%H Vincenzo Librandi, <a href="/A155037/b155037.txt">Table of n, a(n) for n = 1..1000</a>

%e For n=2, n^3+2*n^2+1=17; n=48, n^3+2*n^2+1=115201.

%t Select[Range[0, 500],PrimeQ[#^3+2#^2+1]&] (* _Vincenzo Librandi_, Sep 24 2012 *)

%o (Magma) [n: n in [0..450] | IsPrime(n^3+2*n^2+1)]; // _Vincenzo Librandi_, Sep 24 2012

%o (PARI) is(n)=isprime(n^3+2*n^2+1) \\ _Charles R Greathouse IV_, Jun 13 2017

%K nonn,easy

%O 1,1

%A _Vincenzo Librandi_, Jan 19 2009