Let P1>=5, P2, P3 be consecutive primes, with P2-P1=2. a(n)=(P1+P2)/12 when P3-P2 sets a record.

Terms

a(0) =1a(1) =5a(2) =23a(3) =33a(4) =87a(5) =278a(6) =495a(7) =1293a(8) =2027a(9) =2690a(10) =4245a(11) =6773a(12) =13283a(13) =24938a(14) =28893a(15) =44270a(16) =67475a(17) =139708a(18) =224922a(19) =315893a(20) =971000a(21) =1723960a(22) =3319792a(23) =6228255a(24) =7013717a(25) =13194622a(26) =25321985a(27) =31864375a(28) =32163975a(29) =65155398