A057470 Let prime(i) = i-th prime, let twin(n) = (P,Q) be n-th pair of twin primes; sequence gives prime(P).

5, 11, 31, 59, 109, 179, 277, 353, 547, 587, 773, 859, 1063, 1153, 1201, 1433, 1499, 1723, 1823, 2063, 2341, 2897, 3001, 3259, 3733, 4133, 4397, 4549, 4759, 4933, 6217, 6311, 6353, 6653, 6841, 8101, 8221, 8377, 8513, 8747, 9293, 9973, 10433, 10559

Offset: 1

Author

Cino Hilliard, Sep 10 2000

Keywords

• nonn

Examples

			The 3rd pair of twin primes is twin(3) = (11,13), so a(3) = prime(11) = 31.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000 (terms 1..1000 from Harvey P. Dale)

Crossrefs

Cf. A001359, A057473, A151799.

Programs

Mathematica

Prime/@Select[Partition[Prime[Range[300]],2,1],#[[2]]-#[[1]]==2&][[;;,1]] (* Harvey P. Dale, May 21 2023 *)

Formula

From Amiram Eldar, Feb 14 2025: (Start)

a(n) = prime(A001359(n)).

a(n) = A151799(A151799(A057473(n))). (End)

Extensions

More terms from James Sellers, Sep 11 2000