Numbers k such that k! - (k-1)! + (k-2)! + 1 is prime.

Terms

a(0) =2a(1) =5a(2) =7a(3) =11a(4) =13a(5) =16a(6) =22a(7) =29a(8) =43a(9) =56a(10) =67a(11) =83a(12) =85a(13) =107a(14) =317a(15) =325a(16) =517a(17) =1660a(18) =2010a(19) =2368a(20) =4483a(21) =4697a(22) =14524