A087651 Sequence of primorials P# (cf. A002110) such that j*P# has twin prime neighbors for some j with 0 < j < prime following P.

2, 6, 6, 6, 30, 30, 30, 30, 210, 210, 2310, 2310, 2310, 2310, 30030, 30030, 30030, 30030, 30030, 30030, 510510, 510510, 9699690, 223092870, 223092870, 223092870, 223092870, 223092870, 223092870, 223092870, 6469693230, 200560490130

Offset: 0

Author

Pierre CAMI, Sep 28 2003

Keywords

• nonn

Comments

I think I have found a proof that the sequence is infinite.

Examples

			I have found the first 122 values of this sequence, 121 and 122 are 2557#, 2557# with j=303 and j=2307, 1087 and 1088 digits.
		

Crossrefs

The j values are in A087730, P values are in A087731, i values are in A088676.

Cf. A002110, A086916, A087732.

Smaller of twin primes are in A087732. Number of digits in twin primes are in A086916.

Extensions

Edited by Jud McCranie and Ray Chandler, Oct 05 2003