Lower prime of a record difference between it and the second prime after it.

Terms

a(0) =2a(1) =3a(2) =5a(3) =19a(4) =47a(5) =83a(6) =109a(7) =199a(8) =1123a(9) =1321a(10) =2161a(11) =2477a(12) =5591a(13) =9551a(14) =14087a(15) =19603a(16) =19609a(17) =31393a(18) =31397a(19) =38461a(20) =58789a(21) =155893a(22) =360653a(23) =370247a(24) =396733a(25) =1357193a(26) =1561891a(27) =4652317a(28) =8917463a(29) =20831299