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

Terms

a(0) =3a(1) =43a(2) =241a(3) =683a(4) =773a(5) =3947a(6) =7351a(7) =7351a(8) =7351a(9) =18593a(10) =69557a(11) =69557a(12) =69557a(13) =69557a(14) =69557a(15) =250501a(16) =250501a(17) =250501a(18) =740749a(19) =740749a(20) =740749a(21) =1530349a(22) =1530349a(23) =1530349a(24) =3021173a(25) =3021173a(26) =3021173a(27) =9690841a(28) =9690841a(29) =9690841