Numbers k such that k! - (k-1)! + (k-2)! - (k-3)! + ... - (-1)^k*1! is prime.

Terms

a(0) =3a(1) =4a(2) =5a(3) =6a(4) =7a(5) =8a(6) =10a(7) =15a(8) =19a(9) =41a(10) =59a(11) =61a(12) =105a(13) =160a(14) =661a(15) =2653a(16) =3069a(17) =3943a(18) =4053a(19) =4998a(20) =8275a(21) =9158a(22) =11164a(23) =43592a(24) =59961