Primes 10k + 3 preceding the maximal gaps in A269234.

Terms

a(0) =3a(1) =23a(2) =113a(3) =883a(4) =3083a(5) =4153a(6) =6373a(7) =8123a(8) =9973a(9) =13183a(10) =13313a(11) =27283a(12) =155893a(13) =1046413a(14) =1086923a(15) =4343363a(16) =5648893a(17) =9291643a(18) =18819043a(19) =32015143a(20) =38024003a(21) =53663903a(22) =90420223a(23) =133125203a(24) =169727083a(25) =228590023a(26) =284825263a(27) =318827423a(28) =431958913a(29) =949477663