A171708 Numbers k such that the k-th prime of the form 6*k-1 and the k-th prime of the form 6*k+1 are a pair of twin primes.

1, 2, 3, 6, 24

Offset

1,2

Links

Table of n, a(n) for n=1..5.

Formula

{n: A007528(n) + 2 = A002476(n)}. A171713(n) = A007528(a(n)). - R. J. Mathar, Jun 07 2010

Example

1 is in the sequence because the 1st primes of the forms 6*k-1 and 6*k+1(6*1-1=5 and 6*1+1=7, respectively) are a pair of twin primes;
2 is in the sequence because the 2nd primes (6*2-1=11 and 6*2+1=13) are a pair of twin primes;
3 is in the sequence because the 3rd primes (6*3-1=17 and 6*3+1=19) are a pair of twin primes;
6 is in the sequence because the 6th primes (6*7-1=41 and 6*7+1=43) are a pair of twin primes;
24 is in the sequence because the 24th primes (6*38-1=227 and 6*38+1=229) are a pair of twin primes.

Crossrefs

Cf. A000027, A001097, A002476, A007528.

Sequence in context: A317973 A361333 A327013 * A329565 A295967 A027163

Adjacent sequences: A171705 A171706 A171707 * A171709 A171710 A171711

Keyword

nonn

Author

Juri-Stepan Gerasimov, Dec 16 2009

Extensions

a(4) and a(5) corrected and a(6) removed by R. J. Mathar, Jun 07 2010

Status

approved