A057473 Let prime(i) = i-th prime, let twin(n) = (P,Q) be n-th pair of twin primes; sequence gives prime(Q).

11, 17, 41, 67, 127, 191, 283, 367, 563, 599, 797, 877, 1087, 1171, 1217, 1447, 1523, 1741, 1847, 2081, 2351, 2909, 3019, 3299, 3761, 4153, 4421, 4567, 4787, 4943, 6229, 6323, 6361, 6661, 6863, 8117, 8233, 8389, 8527, 8761, 9319, 10009, 10457, 10589

Offset: 1

Author

James Sellers, Sep 11 2000

Keywords

• nonn
• less

Examples

			The 3rd pair of twin primes is twin(3) = (11,13), so a(3) = prime(13) = 41.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A006512, A057470, A151800.

Programs

Mathematica

Prime[#]&/@Transpose[Select[Partition[Prime[Range[300]],2,1], Last[#]- First[#] == 2&]][[2]] (* Harvey P. Dale, Nov 29 2011 *)

Formula

From Amiram Eldar, Feb 14 2025: (Start)

a(n) = prime(A006512(n)).

a(n) = A151800(A151800(A057470(n))). (End)