I just found out that k=25935 had been already tested by Thomas to 200k. It is listed on the

15k stats page but mistakenly as k=29535.

This k is not so promising but I'll test the 200-220k range.

Then I'll switch to k=67773 from 183500 to about 210k.

[Two minutes later]

One of my LLR clients just found that

25935*2^219995-1 is prime!! (66230 digits)

It was the very last candidate in the 200-220k range (sieved to 30 bn) and since I started another LLR client to work in the reverse order it was found at once!