A112864 Primes of the form (2*n)!/(2*(n!)^2)+1.

2, 11, 127, 463, 20058301, 17672631901, 16123801841551, 51913710643776705684835561, 12738806129490428451365214301, 760401738905937245009910944207609329, 740106499224393094996908447741294397438051

Offset: 1

Author

Hugo Pfoertner, Sep 30 2005

Keywords

• nonn

Crossrefs

Cf. A001700(n-1)=(2*n)!/(2*(n!)^2), A112863 gives n such that (2*n)!/(2*(n!)^2)+1 is prime, A112862 gives primes of the form (2*n)!/(2*(n!)^2)-1.

Programs

Mathematica

Select[Table[(2n)!/(2(n!)^2)+1,{n,70}],PrimeQ] (* Harvey P. Dale, Feb 28 2023 *)