A049433 Numbers k such that k! - (k-1)! - 1 is prime.
3, 4, 6, 8, 9, 12, 28, 78, 99, 184, 286, 291, 398, 411, 600, 718, 732, 889, 1963, 2240, 2242, 2533, 8800, 11403, 18335, 20277, 21029
Offset: 1
Keywords
Examples
6 is a term since 6! - (6-1)! - 1 = 599 is prime.
Formula
a(n) = A090704(n) + 1 = n*n! + 1 = ((n+1)-1)*n! + 1 = (n+1)! - n! + 1 .
Extensions
More terms from Farideh Firoozbakht, Jul 18 2003
Corrected offset, edited definition and a(19)-a(24) from Donovan Johnson, Dec 18 2009
a(25)-a(27) from Michael S. Branicky, Jun 13 2025
Comments