A057470 - OEIS

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

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OFFSET

1,1

LINKS

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

FORMULA

From Amiram Eldar, Feb 14 2025: (Start)

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

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

EXAMPLE

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

MATHEMATICA

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

CROSSREFS

Cf. A001359, A057473, A151799.

Sequence in context: A023259 A267478 A280081 * A038580 A106088 A246010

Adjacent sequences: A057467 A057468 A057469 * A057471 A057472 A057473

KEYWORD

nonn

AUTHOR

Cino Hilliard, Sep 10 2000

EXTENSIONS

More terms from James A. Sellers, Sep 11 2000

STATUS

approved