To date, the largest known factorial prime is 150209!+1 with 712355 digits, found on 31 October 2011 by René Dohmen.
n!+1 is prime for n=1, 2, 3, 11, 27, 37, 41, 73, 77, 116, 154, 320, 340, 399, 427, 872, 1477, 6380, 26951, 110059 (507082 digits) and 150209!+1 (712355 digits).