20211018, 11:52  #342 
"Tucker Kao"
Jan 2020
Head Base M168202123
2^{5}·3·7 Posts 
I like this semiprime with the interesting doubledouble format nearby the right end: 13,898,772,659,372,959
[decimal] 59 = [dozenal] 4Ɛ Last fiddled with by tuckerkao on 20211018 at 12:18 
20211018, 20:07  #343  
"Tucker Kao"
Jan 2020
Head Base M168202123
1010100000_{2} Posts 
Quote:
Ben Delo's wavefront is around M107.1M and the UncWilly drought still persist with less than a full year to go to become the longest gap of discovering a new Mersenne Prime after the previous one. Even M116M and M117M seems to be too long to work on for DrKirkby despite the request from Zhangrc to ask him to stay and just play more casually. Base 5 dozens with a dozenal superbase is still somewhat different than Base sixty with a decimal superbase. Since it's probably not possible to use base sixteen to figure out how the residue values of a PRP tested exponent relates to the location of a hidden Mersenne Prime. It's okay to try on base 1 dozen 4. At least this list isn't too long for me to finish, but still too many to allow only 5 guesses from Mathwiz. Quote:
I'm assuming if the next hidden Mersenne Prime really ends with Ɛ, then it has the higher chance to be 4Ɛ for the final 2 digits dozenally. Quote:
If I have AMD Threadripper 5970X with Nvidia Geforce 3090 Super, I should be able to finish 1 M168,***,*23 exponent every 4~5 days. The M168,*8*,*23 list will only last several months. The only reality that will trouble me is the supply shortage that'll prevent me from purchasing the PC I want, thus unable to prove myself. Last fiddled with by tuckerkao on 20211018 at 20:39 

20211019, 12:43  #344  
Feb 2017
Nowhere
12371_{8} Posts 
Quote:
This is gobbledygook^{3}. Whether a number is one less than a highly composite number does not depend on what base you express it in. The term "dozenal enders" implies base twelve. A 2digit ending in base twelve would be a congruence class modulo 144. Assuming "base 5 dozens" means "base sixty" a given congruence class mod 144 would correspond to 25 possible 2digit endings in base sixty. I have no idea what you mean by "as a regular number," but the phrase uses the singular "number" in referring to the plural "dozenal enders" so is ungrammatical. Assuming your excessively obscure notation "dozenal 4Ɛ enders" means "numbers congruent to 59 modulo 144", adding 1 to such a number gives 12 times a number congruent to 5 (mod 12). Base sixty is base sixty. Also, one radix or base that is a multiple of a given base is a "superbase" of the given base. You have it the wrong way around. 

20211020, 23:50  #345  
"Tucker Kao"
Jan 2020
Head Base M168202123
2A0_{16} Posts 
Quote:
I probably made louder noises than greenskull very many times but because of my exponent location. People can hardly hear unless they are working above M166M or below M170M, only Dobri has showed up nearby during the past 1 month. Quote:
You probably should declare your very personal range in a rural exponent area where it'll be large enough to own a project thread. The logic is really simple because no other Mersenne users beside me are interested in working on any exponents from M168286031 to M168286997 https://www.mersenne.org/report_expo...8287000&full=1, so I can name this avenue with whatever the title I like (such as Dozenal Behemoth Avenue) and others won't rally the protests at all. Last fiddled with by tuckerkao on 20211021 at 00:32 

20211021, 22:48  #346 
"Tucker Kao"
Jan 2020
Head Base M168202123
2^{5}×3×7 Posts 
After Dobri finished P1 on an exponent with only TF up to 2^73, the server seemed to assign the bit of 2^73 to 2^74 to another user immediately after the NFPM1, then that TF assignment appeared to be performed with a CPU on Prime95 not mfaktc on GPU. See the screenshot below for details of M168086143.
Last fiddled with by tuckerkao on 20211021 at 23:20 
20211022, 01:56  #347 
Jan 2021
California
2^{4}×19 Posts 

20211026, 10:06  #348  
"Tucker Kao"
Jan 2020
Head Base M168202123
2A0_{16} Posts 
Quote:


20211027, 02:57  #349  
Romulan Interpreter
"name field"
Jun 2011
Thailand
2×3×5×7×47 Posts 
Quote:
Fun story: I wanted for a very long time to test all exponents with 666 in them, but never moved my ass to really do it. This was BEFORE discovering of M45 (in fact, before M47, which was discovered first) and if I would have done it, I would be now famous and 50 thousand bucks richer. So, if you really believe in your own forecast, move your butt and do those tests, and don't expect other people to do it for you. Last fiddled with by LaurV on 20211027 at 09:22 

20211027, 08:33  #350 
"University student"
May 2021
Beijing, China
11001010_{2} Posts 
At least there's one special thing about 168 that has mathematical significance:
The simple group of order 168, PSL(2,Z/7Z), is the second smallest nontrivial simple group. 
20211028, 13:13  #351 
"刀比日"
May 2018
13·19 Posts 
The first (smallest) finite nonAbelian simple group is the alternating group A_{5} of order 60.
Apparently, 60,xxx,xxx is the only subrange which (probably) does not have a Mersenne prime exponent in the 8digit prime exponent range from 10,xxx,xxx to 80,xxx,xxx of known prime exponents of Mersenne primes. 
20211028, 20:26  #352  
"Tucker Kao"
Jan 2020
Head Base M168202123
1240_{8} Posts 
Quote:
I didn't know how long those exponents would take you to run the LL tests back then. I searched the lookalike exponents in the nearby ranges, I don't think they are the numbers I'm looking for but just in case when I have a bit of extra time after getting a new PC during year 2022. M161286523 M162283523 M163281523 M163285523 M164286523 M166281523 Quote:
The chance of having all composite PRP and/or LL results between M107M and M167M is very possible. Last fiddled with by tuckerkao on 20211028 at 20:40 

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