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Primes of the form 2*n^3 + 4*n^2 + 4*n + 1.
0

%I #19 Aug 18 2013 10:44:54

%S 11,41,103,601,911,2441,3191,6329,9281,13033,17681,23321,33851,42391,

%T 52259,69761,98641,144731,178289,203321,260201,275911,292241,383611,

%U 492281,516223,592681,676339,767521,1011359,1171463,1257491,1394273,1540631,1643683,1751231

%N Primes of the form 2*n^3 + 4*n^2 + 4*n + 1.

%C In a sample of n=1 to 100 it produced 37 primes, 40 semiprimes,and the remainder were numbers requiring more than two factors. It appears that it produces semiprimes and primes beyond mere chance expectations.

%e For n=2, 2*2(2*(n+2)+2)+1=41, a prime.

%t Select[Table[2n^3+4n^2+4n+1,{n,100}],PrimeQ] (* _Harvey P. Dale_, Aug 18 2013 *)

%K nonn

%O 1,1

%A _J. M. Bergot_, Sep 09 2011