3 consecutive primes differ by 2n or more starting at a(n).

Terms

a(0) =3a(1) =19a(2) =47a(3) =199a(4) =199a(5) =199a(6) =1831a(7) =2161a(8) =2161a(9) =3947a(10) =16007a(11) =16007a(12) =24251a(13) =24251a(14) =24251a(15) =38461a(16) =38461a(17) =38461a(18) =38461a(19) =38461a(20) =58789a(21) =203669a(22) =206651a(23) =206651a(24) =413299a(25) =413299a(26) =413299a(27) =1272679a(28) =1272679a(29) =1272679