A064769 Numbers n such that (n!)^2 + prime(n) is prime.

1, 2, 3, 5, 9, 17, 65, 222, 1720, 2975, 3494, 10489, 17948

Offset: 1

Author

Jason Earls, Oct 18 2001

Keywords

• nonn

Comments

Term <= 1720 certified prime with Primo.

Next term, if it exists, is greater than 2700. - Ryan Propper, Nov 05 2005

a(10)-a(13) are probable primes.

a(14) > 20000. - Robert Price, Aug 29 2014

Examples

			(5!)^2 + prime(5) = 120^2 + 11 = 14400 + 11 = 14411 is prime, so 5 is a term.
		

Crossrefs

Cf. A046029, A072599 (n such that (n!)^2 - prime(n) is prime).

Programs

PARI

for(n=1,300, if(isprime((n!)^2+prime(n)),print1(n, ", ")))

Extensions

1720 from Ryan Propper, Nov 05 2005

a(10)-a(13) from Robert Price, Aug 29 2014