A195117 Primes of the form 2*n^3 + 4*n^2 + 4*n + 1.

11, 41, 103, 601, 911, 2441, 3191, 6329, 9281, 13033, 17681, 23321, 33851, 42391, 52259, 69761, 98641, 144731, 178289, 203321, 260201, 275911, 292241, 383611, 492281, 516223, 592681, 676339, 767521, 1011359, 1171463, 1257491, 1394273, 1540631, 1643683, 1751231

Offset

1,1

Comments

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.

Links

Table of n, a(n) for n=1..36.

Example

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

Mathematica

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

Crossrefs

Sequence in context: A261538 A066595 A260266 * A027086 A075985 A356125

Adjacent sequences: A195114 A195115 A195116 * A195118 A195119 A195120

Keyword

nonn

Author

J. M. Bergot, Sep 09 2011

Status

approved