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

Author

Zak Seidov, Jun 14 2013

Keywords

• nonn

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?

Examples

			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.
		

Links

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

Crossrefs

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

Formula

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