Primes which occur as the difference of consecutive prime powers >1 as and when they occur.

Terms

a(0) =7a(1) =2a(2) =5a(3) =17a(4) =17a(5) =3a(6) =41a(7) =13a(8) =151a(9) =17a(10) =307a(11) =199a(12) =139a(13) =271a(14) =1217a(15) =7a(16) =751a(17) =3617a(18) =4241a(19) =3343a(20) =4001a(21) =97169a(22) =40841a(23) =117017a(24) =746153a(25) =203897a(26) =137542193a(27) =256534591a(28) =123090449