A136146 Smallest m such that (2^n)! + m is prime.

1, 0, 5, 23, 23, 79, 67, 823, 863, 683, 16453, 2753, 26297

Offset

0,3

Comments

If n > 7, a(n) is a 3-PRP.

Links

Table of n, a(n) for n=0..12.

Cino Hilliard, Primes in (x^n)! + m.

Example

For n=1, (2^1)! + 0 = 2 a prime. So 0 is the second entry in the sequence.
For n=9, (2^9)! + 683 is a 3-PRP. So 683 is in the sequence.

Mathematica

If[PrimeQ[#], #, NextPrime[#]]-#&/@Table[(2^n)!, {n, 0, 12}] (* Harvey P. Dale, Apr 29 2018 *)

Prog

The Gcc program in the link uses Gmp mpz_nextprime to generate the sequence. Pfgw was also used as a verification.

Crossrefs

Sequence in context: A002582 A368425 A102723 * A289278 A167804 A339699

Adjacent sequences: A136143 A136144 A136145 * A136147 A136148 A136149

Keyword

nonn

Author

Cino Hilliard, May 10 2008, May 17 2008

Status

approved