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%I #20 Sep 08 2022 08:45:15
%S 5,17,43,89,593,829,2393,2969,3631,5237,11177,12743,14449,16301,27961,
%T 33857,40529,44171,56393,60919,75937,93241,127601,198593,219721,
%U 266369,278981,499439,578843,621521,689393,737281,787337,839609,950993,980299
%N Primes of the form n^3 + (n+1)^2.
%H Vincenzo Librandi, <a href="/A100662/b100662.txt">Table of n, a(n) for n = 1..1000</a>
%F A100705 INTERSECT A000040.
%e a(1)=5 because 5=1^3+2^2;
%e a(2)=17 because 17=2^3+3^2;
%e a(3)=43 because 43=3^3+4^2.
%t Select[Table[n^3+(n+1)^2,{n,200}],PrimeQ] (* _Vladimir Joseph Stephan Orlovsky_, Feb 01 2012 *)
%o (Magma) [ a: n in [0..100] | IsPrime(a) where a is n^3 + (n+1)^2 ]; // _Vincenzo Librandi_, Jul 18 2012
%o (PARI) list(lim)=my(v=List(),t); for(n=1,lim, t=n^3+(n+1)^2; if(t>lim, break); if(isprime(t), listput(v,t))); Vec(v) \\ _Charles R Greathouse IV_, Dec 23 2016
%K nonn,easy
%O 1,1
%A _Giovanni Teofilatto_, Jan 03 2005
%E More terms from Mark Hudson, Jan 04 2005