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
KEYWORD
nonn
AUTHOR
J. M. Bergot, Sep 09 2011
STATUS
approved