n(k) is the minimum n that requires at least k to make 2*Prime[n]+Prime[n-k] a prime.

Terms

a(0) =3a(1) =12a(2) =9a(3) =10a(4) =8a(5) =17a(6) =97a(7) =20a(8) =57a(9) =50a(10) =30a(11) =56a(12) =207a(13) =171a(14) =210a(15) =134a(16) =303a(17) =127a(18) =121a(19) =275a(20) =376a(21) =278a(22) =299a(23) =413a(24) =432a(25) =251a(26) =746a(27) =949a(28) =389a(29) =742