20200908, 20:02  #375 
Aug 2020
2^{3}·3 Posts 
But then I would say low weight doesn't really matter. Either I test 100000 candidates for a given k and find 10 primes or I test 10000 and find one. Then move to the next low weight k and in the end I end up with the same number of LLRs and primes. Just spread over more than one k. Is it like that?

20200908, 23:30  #376 
"Curtis"
Feb 2005
Riverside, CA
10337_{8} Posts 
We have no evidence otherwise, though some folks around here do think otherwise.
I test a couple lowweight k's as well as some of the highest; I like finding anomalies, but I don't think my choices are more primeworthy per unit of search effort. 
20200909, 07:21  #377 
Aug 2020
2^{3}×3 Posts 
I looked into the matter why only primes show up as n for low n values. Here are some restrictions I found:
If the Riesel number will be divisible by 3 (n = 2, 4, 6, 8, 10, ...) If the Riesel number will be divisible by 11 (n = 11, 21, 31, 41, 51, ...) If the Riesel number will be divisible by 17 (n = 9, 17, 25, 33, 41, 49, ...) If the Riesel number will be divisible by 41 (n = 15, 35, 55, 75, ...) If the Riesel number will be divisible by 71 (n = 19, 89, 159, 229, ...) There might be more. I am not sure though if this will rather hit composites than primes. The 2nd condition removes 11, 31, 41, 71, so it doesn't really seem like it. Last fiddled with by bur on 20200909 at 07:35 
20200909, 09:54  #378 
Aug 2020
2^{3}×3 Posts 
Haha, I just realized this is probably trivial and occurs for every divisor... yes, I'm not that good at math. :)

20200909, 20:46  #379 
Aug 2020
30_{8} Posts 
Here are the n values for Riesel primes with k = 1281979 and n <= 100000
3 7 43 79 107 157 269 307 373 397 1005 1013 1765 1987 2269 6623 7083 7365 10199 16219 26143 32557 38165 47167 47863 70373 94723 95167 
20200919, 13:26  #380 
"Alexander"
Nov 2008
The Alamo City
3×5^{3} Posts 
The (near)Woodall k's listed in https://www.mersenneforum.org/showpo...&postcount=363, again except for k=1993191, have been completed to n=375k. The only prime found was 667071*2^3734971.
Edit: Another prime, 667071*2^3582861, was already reported (by me) to the PrimeWiki in August, so I accidentally left it off here. Last fiddled with by Happy5214 on 20200919 at 13:38 Reason: Forgot a prime 
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