Let P1>=3, P2, P3 be consecutive primes, with P3-P2=2. a(n)=(P2+P3)/12 when P2-P1 sets a record.

Terms

a(0) =1a(1) =2a(2) =5a(3) =25a(4) =87a(5) =192a(6) =500a(7) =1158a(8) =1668a(9) =4217a(10) =4713a(11) =5955a(12) =17127a(13) =28905a(14) =61838a(15) =76967a(16) =96147a(17) =139725a(18) =260342a(19) =1061923a(20) =1205080a(21) =4663498a(22) =8871842a(23) =11732765a(24) =32534740a(25) =42313103a(26) =77638122a(27) =92523718a(28) =282054523a(29) =728833340