Upper ends of record prime gaps under consideration of the prime number theorem.

Terms

a(0) =3a(1) =5a(2) =7a(3) =11a(4) =29a(5) =97a(6) =127a(7) =541a(8) =907a(9) =1151a(10) =1361a(11) =15727a(12) =19661a(13) =31469a(14) =156007a(15) =360749a(16) =370373a(17) =1357333a(18) =2010881a(19) =17051887a(20) =20831533a(21) =47326913a(22) =191913031a(23) =436273291a(24) =2300942869a(25) =3842611109a(26) =4302407713a(27) =10726905041a(28) =22367085353a(29) =25056082543