Andrey Kulsha wrote:

> I propose a symmetrical cluster of 18 primes:

>

> 30030k + {1; 17; 19; 23; 29; 31; 37; 41; 43}

In

http://www.math.ethz.ch/~waldvoge/Projects/clprimes03.pdf
Jörg Waldvogel and Peter Leikauf studied the pattern of 16 primes

n +/- {17; 19; 23; 29; 31; 37; 41; 43}

An exhaustive search to 5*10^22 found 94 occurrences with n-43

listed on page 14. There are 6 cases where either n-1 or n+1 is

also prime but none where they both are.

The first case is n-43 = 3741636047391669917447 where n-1 is prime.

n-47 also happens to be prime, but not n+1.

--

Jens Kruse Andersen