6n-1,6n+1, 6n+5, 6n+7 are all primes. That is they are adjacent pairs of twin primes.

Terms

a(0) =1a(1) =2a(2) =17a(3) =32a(4) =137a(5) =247a(6) =312a(7) =347a(8) =542a(9) =577a(10) =942a(11) =1572a(12) =2167a(13) =2607a(14) =2622a(15) =2677a(16) =3007a(17) =3152a(18) =3237a(19) =3502a(20) =3712a(21) =4217a(22) =5287a(23) =5807a(24) =7297a(25) =8557a(26) =9222a(27) =10497a(28) =11202a(29) =11582