Fixed points when A001414 is iterated and started at factorials of prime numbers.

Terms

a(0) =2a(1) =5a(2) =5a(3) =5a(4) =13a(5) =23a(6) =61a(7) =19a(8) =5a(9) =283a(10) =5a(11) =23a(12) =13a(13) =29a(14) =7a(15) =61a(16) =947a(17) =29a(18) =137a(19) =11a(20) =353a(21) =23a(22) =199a(23) =5a(24) =47a(25) =2381a(26) =5a(27) =103a(28) =359a(29) =13