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Sequence of primorials P# (cf. A002110) such that j*P# has twin prime neighbors for some j with 0 < j < prime following P.
3

%I #7 Oct 12 2013 15:14:04

%S 2,6,6,6,30,30,30,30,210,210,2310,2310,2310,2310,30030,30030,30030,

%T 30030,30030,30030,510510,510510,9699690,223092870,223092870,

%U 223092870,223092870,223092870,223092870,223092870,6469693230,200560490130

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

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

%e 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.

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

%Y Cf. A002110, A086916, A087732.

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

%K nonn

%O 0,1

%A _Pierre CAMI_, Sep 28 2003

%E Edited by _Jud McCranie_ and _Ray Chandler_, Oct 05, 2003