As a little side project I took a look at this low Nash weight K (41 according to
http://www.rieselprime.de/).
I have now completed testing for N up to 1,000,000 with only one prime found: -
4254149*2^12-1 is prime - found by trial division during sr1sieve run. Hardly an earth shattering result, but there we go.
Sieve and llr results files are attached. Now onto something a little more productive (I hope).