20211010, 00:17  #320 
"Tucker Kao"
Jan 2020
Head Base M168202123
571 Posts 
There are some remaining M168,***,*23 exponents such as M168487523 that have been trial factored up to 2^76 by Oliver Kruse before me, so by find and bring all those classes of the exponents up to 2^77 or higher, I'll eventually guarantee to have my name written on all the unfactored M168,***,*23 exponents at least once.
Last fiddled with by tuckerkao on 20211010 at 00:31 
20211011, 00:58  #321 
"Tucker Kao"
Jan 2020
Head Base M168202123
23B_{16} Posts 
M168,*8*,*23 without known factors:
0801, 0812, 0848, 0872 ,0882, 0884, 0893 1802, 1817, 1820, 1841, 1848, 1892, 1895 2802, 2810, 2838, 2853, 2858, 2880 3864 4827, 4830, 4832, 4841, 4851, 4854, 4875, 4886, 4893 5846 6807, 6836, 6884 7841, 7842 8831, 8843, 8864, 8874 9822 M168080123, M168081223, M168084823, M168087223, M168088223, M168088423, M168089323 M168180223, M168181723, M168182023, M168184123, M168184823, M168189223, M168189523 M168280223, M168281023, M168283823, M168285323, M168285823, M168288023 M168386423 M168482723, M168483023, M168483223, M168484123, M168485123, M168485423, M168487523, M168488623, M168489323 M168584623 M168680723, M168683623, M168688423 M168784123, M168784223 M168883123, M168884323, M168886423, M168887423 M168982223 Exponent such as M168485323 is no longer on the list because it has already been tested by Ben Delo. 
20211011, 02:38  #322 
"Tucker Kao"
Jan 2020
Head Base M168202123
571 Posts 
The attached image makes me totally different.

20211011, 13:17  #323 
"刀比日"
May 2018
EF_{16} Posts 
Here is some info about the Chinese superstition surrounding 168 ('one path to prosperity'), https://journeys.dartmouth.edu/folkl...er168chinese, and also what is known about it in number theory, https://en.wikipedia.org/wiki/168_(number).
However, ending in 23 could be counterproductive, Hexagram 23 in I Ching is named bō, https://en.wikipedia.org/wiki/List_o...ng#Hexagram_23, which means 'stripping' or 'splitting apart'. Last fiddled with by Dobri on 20211011 at 13:35 
20211014, 04:40  #324  
"Tucker Kao"
Jan 2020
Head Base M168202123
571 Posts 
It's so nice to have Dobri working on my M168,***,*23 exponents. M168852323 was factored through P1 by Dobri not Tucker Kao.
Dobri got another FPM1 on M168322477, surprisingly high chance of hitting factors in this area. The M168,8**,*23 arrangement seems to be more composite for some reason. I got FPM1 on both M168830323 and M168860123 a while ago. Interestingly all the factors found were located between 2^80 to 2^90. Maybe Dobri can run P1 on M168285323 as well. Quote:
There have been considerable amount of M168,***,*23 exponents factored up to 2^76 or 2^77, so always nice to have some other users to run P1 which will take less than 1 day per entry for most of the machines. https://www.mersenne.ca/status/tf/0/20210201/4/16800 Last fiddled with by tuckerkao on 20211014 at 05:20 

20211014, 07:41  #325  
"刀比日"
May 2018
239 Posts 
Quote:
For some reason, the current AI version lists more exponents it this range ending in 43 rather than 23. My viewpoint is that one could balance their participation in the wavefront testing with limited manual selection. If viewing the entire 9digit exponent range as a strategy game where different gamers employ specific strategies rather than a plain random selection, young users, not particularly mathematically inclined, could find it worth participating in GIMPS from a gaming viewpoint. 

20211014, 08:37  #326 
"刀比日"
May 2018
239 Posts 
There could even be a Factor Hunter of the Year Award for the user with most factored (for the first time) Mersenne numbers.
The number of factored Mersenne numbers of every user could be deleted by the number of computers/cores used (adding GHz adjustments) so that even a user with a single computer could possibly win. 
20211015, 00:06  #327  
"Tucker Kao"
Jan 2020
Head Base M168202123
571 Posts 
Quote:
Most users don't use CPU to perform the trial factoring, thus very hard to track how many physical cores have been used. Last fiddled with by tuckerkao on 20211015 at 00:08 

20211015, 03:50  #328 
"Curtis"
Feb 2005
Riverside, CA
2×43×59 Posts 
You're not thinking big enough if you think the people who factor the most use any single GPU.
Nothing stands in the way of users employing an army of $200400 GPUs rather than one $2000 card. It's just electricity, after all. 
20211015, 05:19  #329  
"刀比日"
May 2018
239 Posts 
Quote:
Users intending to participate in a competition could register in advance and provide information about their computing resources. Then future results.json.txt files (or separate competition.json.txt files) generated by prime95 or gpuOwl could include (encoded) info about the CPU/GPU specifications which could be useful for QA purposes as well. Also, a factoring competition could eventually be limited to P1 tests only. The award could be a unique Tshirt. 

20211015, 08:43  #330 
"刀比日"
May 2018
11101111_{2} Posts 
A simple way to select the most efficient Factor Hunter of the Year would be to divide their number of factored (for the first time) Mersenne numbers by their total number of tested exponents.

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