20220815, 22:54  #584  
Mar 2019
303_{10} Posts 
Quote:


20220816, 10:51  #585 
"Viliam Furík"
Jul 2018
Martin, Slovakia
19·41 Posts 
Yes, but the humor that comes out of it is really good. I think it's worth it. "Great Wave of TuckerKao", that's just golden.
Last fiddled with by Viliam Furik on 20220816 at 10:52 
20220819, 18:58  #586  
"Tucker Kao"
Jan 2020
Head Base M168202123
2×389 Posts 
Scored a 5 pointer today. Found 5 new factors all from the M168.6M subrange: M168682169, M168682681, M168687641, M168697079, M168697693.
Quote:
Owning a full set of Monopoly deeds will worth way more than the sum of the individual cards. 

20220819, 19:41  #587 
6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
24767_{8} Posts 
You celebrate finding factors in that range. That is odd. Wouldn't you want fewer factors in that range? Each factor found proves that number could not possibly be a Mersenne Prime. That means the overall chance of any number in that range to be found to be prime goes down. (Because we know that each PRP/LL test has a certain chance of finding a prime. And with fewer numbers to test, your multiple against that ratio goes down.)

20220819, 20:28  #588  
"Tucker Kao"
Jan 2020
Head Base M168202123
1412_{8} Posts 
Quote:
With the most recent 5 factors found, I'll probably avoid PRP tests between M168,680,000 to M168,700,000 for now. Consider this imaginary scenario: if I were already finished 92% of the PRP tests of all the M168,***,*23 exponents with only 20+ candidates left, ATH and Kriesel will probably be willing to just join the force and finish them ahead of me. When all the M168M exponents are trial factored deeper, I kind of want to go after M168.6M especially M168641923, because it's still sort of more factorresistant subrange than M168.4M as of the records today. If I don't find any factors with 2,000+ attempts, that means my GPU is out of order, why would I celebrate for that? This is the real progress of the PRP tests done from the M168,***,*23 candidates so far  https://www.mersenne.org/report_prp/...dispdate=1&B1= For me: The Winning Scenario: 1 M168.***.*23 turns out to be Mersenne Prime. The Losing Scenario: All M168.***.*23 turns out to be proven composites or Someone else found a Mersenne Prime greater than M82589933 but lesser than M168,000,000. Last fiddled with by tuckerkao on 20220819 at 21:07 

20220819, 23:54  #589  
Mar 2019
457_{8} Posts 
Quote:


20220820, 00:41  #590  
"Tucker Kao"
Jan 2020
Head Base M168202123
2·389 Posts 
Quote:
Using M111.2M vs M168.6M as the example, M168.6M has the higher chance to yield a Mersenne Prime because the total amount of unfactored exponents is much higher: 2,047 vs 1,788. There will be no way that M168.6M will only have 1,788 unfactored exponents outstanding after all exponents been trial factored up to 2^{77} or 2^{78}. Maybe check M168.4M which already had more TF works done. Last fiddled with by tuckerkao on 20220820 at 01:14 

20220820, 06:21  #591 
"Curtis"
Feb 2005
Riverside, CA
2×3×11×83 Posts 
Take this to its logical conclusion if you found factors for every candidate in the entire range, how many prp tests would there be left to run?

20220822, 16:01  #592  
"Tucker Kao"
Jan 2020
Head Base M168202123
2·389 Posts 
Quote:
Finding a new factor after every additional 70~85 trial factoring attempts in average should be part of the familiar equation which won't decrease the chance of finding a new Mersenne Prime because if a top user like SRBase or TheJudger goes quickly through any lower subranges such as M125.7M and brings it up to 2^{78}, certain amount of exponent candidates will expectedly be eliminated. Quote:
I just checked that the average TF bits of the entire M168M is around 75.4 which is much higher than the neighboring ranges that have been generally covered by SRBase(Average TFs = 74.1 or 74.2). Last fiddled with by tuckerkao on 20220822 at 17:01 

20220823, 07:51  #593  
Romulan Interpreter
"name field"
Jun 2011
Thailand
10011110000110_{2} Posts 
Quote:
Wrong is when you ask other people to run them for you. If you run them by yourself, is excellent! Last fiddled with by LaurV on 20220823 at 07:51 Reason: spacing 

20220901, 23:38  #594 
"Tucker Kao"
Jan 2020
Head Base M168202123
1100001010_{2} Posts 
I scored a 6pointer today, renewed my previous best record: M168605477, M168605573, M168607259, M168607529, M168608093, M168608257.
I had played several monopoly games which I was only 1 to 2 steps away from bankruptcy, then managed a comeback and won. There were also occasions which I was ahead of the game almost all the way, then suddenly lose. The chance will usually be hard to call too early. Unless a checkmate call has been announced(someone lands a new PPRP result), otherwise it'd be considered too early to decide. Last fiddled with by tuckerkao on 20220901 at 23:46 
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