No new primes for n < 3,600,000
Largest n in progress = 3,875,000 # of digits = 1,166,500 (rank: ~ 325) FFT size = 400k Avg. time = 4970 s Smallest n in progress = 3,600,000 # of digits = 1,085,000 (rank: ~ 395) FFT size = k Avg. time =  s Around July all sieved candidates of n < 4,100,000 should have been tested. I'm not so optimistic anymore that a prime will turn up... 
Things progressed much faster than I expected, the last batch 4,095e6 < n < 4,100e6 will be assigned to a core today and everything should be finished until June, 10th.
If there will be no prime in these last few numbers, I'll continue by sieving the proth side to higher n and doing LLR onthefly depending on sieve/LLR times as LaurV suggested. According to prime95 I'll be able to continue singlethreaded until an FFT size of 640k is reached which will be around n = 5.6e6, which agrees nicely with the 5.3 MB of L3 each core has. I just hope a prime will turn up before testing becomes really slow. I'm set on finding a mega prime for this k though. :D 
All n < 4,100,000 have been tested, no new primes other than the ones already posted.
Currently I'm sieving in the range of 4,100,000 < n < 10,000,000. Smallest pP range in progress: 87E12107E12 Avg. time per factor: 810 s Largest pP range in progress: 310E12330E12 Avg. time per factor: 3160 s Remaining candidates: 100,936 / 5,900,000 (1.71%) Est. time per LLR test of smallest candidate: 5600 s (n = 4,100,014) 
Quick update, no new primes...
All n < 4,300,000 have been tested. n < 10,000,000 sieved up to 570E12 (10,000 s / factor) Approximately 90,000 candidates remain. Largest LLRtest currently running: n = 4,450,000 FFT = 448k 6200 s / test Caldwell entry rank: 290 If the LLRruntime would increase strictly quadratic, then it'll take to around n = 5,600,000 until an LLR test takes again as long as sieving to eliminate a candidate. As a very rough estimate that should take about 7 months on the 10 core. And when will the next prime appear? Judging from Primegrid's results on other prime k values it can be a looong time. 
To keep up with the roughly monthly updates and since it's been one year now since I started searching this k, here are the current stats:
As always, no new prime. All n < 4,600,000 have been tested. Largest LLRtest currently running: n = 4,790,000 FFT = 512k 7500 s / test Caldwell entry rank: 274 
Once again, a status update with no new prime:
[B]Sieving[/B] All n < 10,000,000 have been sieved to 800e12. Last reported time per factor: approx. 12,000 s 76,167 candidates (1.6%) are left in the range 5,250,000 < n < 10,000,000. [B]LLR[/B] All n < 5,250,000 have been tested. Smallest LLRtest currently running: n = 5.25M FFT = 560k duration = 9975 s / test digits = 1.58M Caldwell entry rank: 254 Largest LLRtest currently running: n = 5.36e6 FFT = 560k duration = 10100 s / test digits = 1.61M Caldwell entry rank: 252 
If you have a GPU, use srsieve2cl for sieving. Depending upon the GPU, it might be faster than sr1sieve. I have a midrange GPU and it is 5x faster than sr1sieve on the same CPU.

[QUOTE=rogue;593620]If you have a GPU, use srsieve2cl for sieving. Depending upon the GPU, it might be faster than sr1sieve. I have a midrange GPU and it is 5x faster than sr1sieve on the same CPU.[/QUOTE]
Where can srsieve2cl be obtained? 
[QUOTE=dannyridel;593736]Where can srsieve2cl be obtained?[/QUOTE]
It is part of mtsieve and can be found here: [url]https://sourceforge.net/projects/mtsieve/[/url] 
[QUOTE=rogue;593758]It is part of mtsieve and can be found here: [url]https://sourceforge.net/projects/mtsieve/[/url][/QUOTE]
Great! Thanks. 
[QUOTE=rogue;593620]If you have a GPU, use srsieve2cl for sieving. Depending upon the GPU, it might be faster than sr1sieve. I have a midrange GPU and it is 5x faster than sr1sieve on the same CPU.[/QUOTE]
Not to hijack this thread, but based on personal experience, I've had trouble getting my GeForce RTX 2060 to sieve faster with srsieve2cl than my Intel Core i710875H running 8 threads with sr1sieve. In fact, it's not even close with my Riesel data (at least 2to1 IIRC). 
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