Primes which produce records in A157188, at index i=pi(a(n)) (pi=A000720).

Terms

a(0) =2a(1) =3a(2) =59a(3) =71a(4) =1151a(5) =2399a(6) =7559a(7) =42839a(8) =110879a(9) =181439a(10) =241919a(11) =262079a(12) =453599a(13) =665279a(14) =1713599a(15) =2827439a(16) =6425999a(17) =11309759a(18) =12700799a(19) =14137199a(20) =16707599a(21) =37837799a(22) =45239039a(23) =64864799a(24) =82162079a(25) =86486399a(26) =93562559a(27) =260124479a(28) =410810399a(29) =735134399