20210503, 19:37  #56 
Aug 2002
Buenos Aires, Argentina
2514_{8} Posts 
In 2015 I ran the P1 algorithm for all exponents between 0.0M to 2.8M with a known factor with B1 = 500K, B2 = 15M. Unfortunately at that time the server rejected manual results if no factors were found.
I uploaded many of the results when the server started to accept these results. Unfortunately there were many results.txt files that were lost. So probably that's why some ranges show zero attempts of P1. 
20210503, 19:51  #57 
"Carlos Pinho"
Oct 2011
Milton Keynes, UK
1001100111110_{2} Posts 

20210503, 20:21  #58 
Jul 2003
wear a mask
3^{2}·179 Posts 
Questions about P+1 Strategy
Let's assume I dedicate G ghzdays of computational effort to run a P+1 curve on a Mersenne number. When I do this, mprime/prime95 reports a probability of finding a factor as X%.
If I then repeat another P+1 curve on the same exponent, with the same effort, bounds, but a different starting seed, will my probability of finding a factor now drop to X/2%? (I know the software will continue to report X%). If I were to complete three P+1 curves on the save exponent, each with the same effort and bounds, but different starting seeds(nth_run = 1,2,3), will my total probability of finding a factor be 7X/4 = (1+1/2+1/4)X? Does it make more sense to do one curve with 3G of computational effort or 3 curves with different starting seeds, each with G level of computational effort? It's hard to imagine a case where the Probability increases by a factor of 7/4 when the effort increases by a factor of 3, but I'm uncertain of how the probabilities work with P+1 curves. Last fiddled with by masser on 20210503 at 20:23 
20210503, 21:12  #59  
P90 years forever!
Aug 2002
Yeehaw, FL
2^{2}·1,873 Posts 
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20210504, 02:22  #60  
"Alexander"
Nov 2008
The Alamo City
1001011101_{2} Posts 
Quote:


20210504, 09:37  #61 
Jul 2020
23 Posts 
My favorite distro switched it 10+ years ago :) But you are right, I changed it a few hours ago.
The most controversial thing about my script is probably that my script increases the desired P+1 bound to half of P1 if there is a very large run of P1. For a few exponents this might result in surprisingly "heavy" assignments but I think P1 B1 / P+1 B1 ratio should be approximately constant and if the P+1 is only done too a low bound then this results only in having to redo it in the long term. 
20210504, 17:07  #62  
Jul 2003
wear a mask
3^{2}·179 Posts 
Quote:
Here are the probabilities reported by v30.6b4, for an exponent in the 14.03M range, TFed to 72 bits, with B1 = 900K. nth_run = 1: Prob = 0.68% nth_run = 2: Prob = 0.318% nth_run = 3: Prob = 0.0713% The drop in probability from nth_run = 2 to 3 seems too severe. Is that correct? 

20210504, 23:52  #63  
P90 years forever!
Aug 2002
Yeehaw, FL
1110101000100_{2} Posts 
Quote:
nth_run=1 finds all 5 mod 6 smooth factors nth_run=2 finds all 3 mod 4 smooth factors (that aren't 5 mod 6) nth_run=3 finds onehalf of the smooth factors that aren't 3 mod 4 or 5 mod. The reason for a factor of 4 rather than the expected factor of 2 is we lose one "free bit" of smoothness. With nth_run=2 our "search space" is 3 mod 4 factors, with nth_run=3 we've doubled our "search space" factors that are 1 or 3 mod 4. 

20210505, 18:55  #64 
"Carlos Pinho"
Oct 2011
Milton Keynes, UK
11476_{8} Posts 

20210505, 19:09  #65 
Jul 2003
wear a mask
3113_{8} Posts 

20210505, 19:36  #66  
P90 years forever!
Aug 2002
Yeehaw, FL
2^{2}×1,873 Posts 
Quote:
This has hardly been the factoring bonanza I was hoping for  165 consecutive failures. I'm beginning to wonder if this area has already had deep P1 run but not reported to the server (or was done before the server accepted P1 results on factored exponents). Last fiddled with by Prime95 on 20210505 at 19:36 

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