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

1,1

Links

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

Formula

From Amiram Eldar, Feb 14 2025: (Start)

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

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

Example

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

Mathematica

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

Crossrefs

Cf. A006512, A057470, A151800.

Sequence in context: A163387 A147253 A201476 * A267291 A073649 A178070

Adjacent sequences: A057470 A057471 A057472 * A057474 A057475 A057476

Keyword

nonn,less

Author

James A. Sellers, Sep 11 2000

Status

approved