Primes q with prime gap q - p of n-th record merit.

Terms

a(0) =3a(1) =5a(2) =11a(3) =127a(4) =1151a(5) =1361a(6) =19661a(7) =31469a(8) =156007a(9) =360749a(10) =370373a(11) =1357333a(12) =2010881a(13) =17051887a(14) =20831533a(15) =191913031a(16) =436273291a(17) =2300942869a(18) =3842611109a(19) =4302407713a(20) =10726905041a(21) =25056082543a(22) =304599509051a(23) =461690510543