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Old 2021-10-10, 00:17   #320
tuckerkao
 
"Tucker Kao"
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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 2021-10-10 at 00:31
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Old 2021-10-11, 00:58   #321
tuckerkao
 
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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.
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Old 2021-10-11, 02:38   #322
tuckerkao
 
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The attached image makes me totally different.
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Old 2021-10-11, 13:17   #323
Dobri
 
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Here is some info about the Chinese superstition surrounding 168 ('one path to prosperity'), https://journeys.dartmouth.edu/folkl...er-168-chinese, 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 2021-10-11 at 13:35
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Old 2021-10-14, 04:40   #324
tuckerkao
 
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It's so nice to have Dobri working on my M168,***,*23 exponents. M168852323 was factored through P-1 by Dobri not Tucker Kao.

Dobri got another F-PM1 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 F-PM1 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 P-1 on M168285323 as well.

Quote:
Originally Posted by VBCurtis View Post
So you understood the rules perfectly, and decided "your own style" was to not follow them?

A date range doesn't follow the rules. You gave a date range, and then claim things like "I read everything" and "I am completely within the rules of the game" and "I understand everything."

Those 3 claims are inconsistent. You fail, and you highlight your failure via repeated claims that you know what you are doing and did it on purpose. So, you're not only a troll, but a willful one- that's the kind of behavior that leads folks to ban you from guesses.
If you can gather together all this type of users that you've defined as noobs to work on the P-1, TFs and/or PRPs of M168,***,*23 exponents, then I'll have a project with a group in it.

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 P-1 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 2021-10-14 at 05:20
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Old 2021-10-14, 07:41   #325
Dobri
 
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Quote:
Originally Posted by tuckerkao View Post
Maybe Dobri can run P-1 on M168285323 as well.
Certainly, I could test some exponents in this range if the AI assistant for manual selection I am developing includes it in the list of prospective exponents.
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 9-digit 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.
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Old 2021-10-14, 08:37   #326
Dobri
 
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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.
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Old 2021-10-15, 00:06   #327
tuckerkao
 
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Quote:
Originally Posted by Dobri View Post
There could even be a Factor Hunter of the Year Award for the user with most factored (for the first time) Mersenne numbers.
Then the user who has the best Nvidia GPU will likely to win the championship. Nvidia Geforce 3090 Super can finish 1 TF from 2^73 to 2^74 for M168M every 5~6 minutes and faster as the exponents grow larger. There's no way for a regular user to win for a single PC. Are you willing to spend $2,000+ for a single GPU?

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 2021-10-15 at 00:08
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Old 2021-10-15, 03:50   #328
VBCurtis
 
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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 $200-400 GPUs rather than one $2000 card. It's just electricity, after all.
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Old 2021-10-15, 05:19   #329
Dobri
 
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Quote:
Originally Posted by tuckerkao View Post
Most users don't use CPU to perform the trial factoring, thus very hard to track how many physical cores have been used.
It depends how relaxed the factoring competition rules should be.
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 P-1 tests only.
The award could be a unique T-shirt.
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Old 2021-10-15, 08:43   #330
Dobri
 
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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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