A226652 Numbers n such that 6n -/+ 1 are twin prime pair and n = r + s where 6r -/+ 1 and 6s -/ 1 are consecutive smaller pairs of twin primes.

3, 5, 12, 17, 110, 182, 217, 347, 352, 397, 432, 495, 707, 712, 775, 787, 822, 907, 920, 1115, 1127, 1265, 1370, 1500, 1722, 1810, 1860, 1953, 1995, 2167, 2742, 2943, 3087, 3372, 3713, 3840, 3985, 4030, 4153, 4580, 4762, 5093, 5750, 6018, 6540, 6920, 7263, 7355, 7367, 7378, 7637, 7957, 8727, 8932, 9002, 9340, 9368

Offset

1,1

Comments

Terms in A002822 that are sum of some two subsequent terms.

Subsequence of terms of A225943 that are sum of some two subsequent terms, s2 = {17, 14745, 131010, 272125, 470573, 693635, 1393613, 1527925, 1953238, 3393075, 5219842, 5651810, 6662387, 10185065, 11332328, 11519365, 15051965}.

Is there similar subsequence s3 of s2, and so on?

Links

Zak Seidov, Table of n, a(n) for n = 1..10000

Formula

a(n) = (A225943(n)+1)/3.

Example

a(2) =  5 because A002822(4) = 5 = A002822(2)  + A002822(3) = 2 + 3.
a(3) =  12 because A002822(7) = 12 = A002822(4)  + A002822(5) = 5 + 7.

Crossrefs

Cf. A002822 ( 6 n -/+ 1 are twin primes), A225943.

Sequence in context: A317100 A199932 A305552 * A024696 A295360 A197988

Adjacent sequences: A226649 A226650 A226651 * A226653 A226654 A226655

Keyword

nonn

Author

Zak Seidov, Jun 14 2013

Status

approved