A064295 Numbers k such that every (prime) factor of k!+1 is one more than a multiple of k.

1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 25, 27, 28, 37, 41, 46, 73, 77, 116

Offset: 1

Author

Don Reble, Sep 25 2001

Keywords

• nonn
• more

Comments

a(20) >= 140. - Max Alekseyev, Feb 19 2024

Examples

			46 is in the list because 46!+1 = 47 * 268662306503771535067 * 435777793891607546778854755077304349 and all of those factors are = 1 mod 46.
		

Links

• H. Mishima, Factors of N!+1

Crossrefs

Complement of A064164, superset of A002981.

Extensions

a(19) from Amiram Eldar, Oct 03 2019