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A195117
Primes of the form 2*n^3 + 4*n^2 + 4*n + 1.
0
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.
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
KEYWORD
nonn
AUTHOR
J. M. Bergot, Sep 09 2011
STATUS
approved