A092751 Primes of the form (2*n)!/(n!)^2 - 1.

5, 19, 251, 48619, 155117519, 30067266499541039, 6637553085023755473070799, 399608854866744452032002440111, 5717214010165655645594487649236004008072121335004636113518216597999

Offset: 1

Author

Jorge Coveiro, Apr 12 2004

Keywords

• nonn

Crossrefs

Cf. A000984, A066726.

Cf. A075840 = n such that (2*n)!/(n!)^2-1 is prime, A112860 = primes of the form (2*n)!/(n!)^2+1.

Programs

Mathematica

Binomial[2#, # ] - 1 & /@ Select[ Range[150], PrimeQ[(2#)!/#!^2 - 1] &] (* Robert G. Wilson v, Apr 14 2004 *)

Extensions

Corrected and extended by Robert G. Wilson v, Apr 14 2004