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

Terms

a(0) =3a(1) =73a(2) =241a(3) =683a(4) =7043a(5) =10181a(6) =23371a(7) =63913a(8) =66191a(9) =112403a(10) =231109a(11) =250501a(12) =648449a(13) =648449a(14) =668243a(15) =2090951a(16) =2090951a(17) =2090951a(18) =2090951a(19) =8791801a(20) =8791801a(21) =14784911a(22) =14784911a(23) =14784911a(24) =14784911a(25) =31362371a(26) =31362371a(27) =51885313a(28) =51885313