Re: [math-fun] CORRECTION Re: Question about primes

On 1/9/07, Daniel Asimov <dasimov@earthlink.net> wrote:

MAKE THAT INSTEAD:

Is it known whether for each odd prime p there exists at least one odd prime q such that pq + 2 is prime?

--Dan

For grins I looked at twin primes p, q = p + 2, such that pq + 2 is prime. It would seem that there are infinitely many such p. Except for p = 3 and p = 5 all such p appear to be of the form 30k - 1. Probably this is easy to show, but I didn't try. The sequence of k which gives such twin primes starts out 5, 6, 8, 9, 14, 19, 43, 44, 77, 85, 91, 112, 113, 142, 155, ... and is in OEIS as A125251. Jim