(Preying for) World Record P-1!

[Prime95]

Originally Posted by lisanderke

I used the following worktodo entry as suggested: Pminus1=N/A,1,2,5903,-1,200000999,200000999
Copied save file for 5903 from 30.8b5 to 30.7b9. And Prime95 turned it into a 'bad' save file.

My bad. 30.7 cannot read a 30.8 save file. Try your save file and "Pminus1=N/A,1,2,5903,-1,200000999,200000999" with 30.8.

[lisanderke]

Originally Posted by Prime95

My bad. 30.7 cannot read a 30.8 save file. Try your save file and "Pminus1=N/A,1,2,5903,-1,200000999,200000999" with 30.8.

Oh, that did finish the P-1, but it didn't report a factor. Could it be that the save file already knows the 8 factors?

[lisanderke]

I just tried the same line with the other exponents in my previous list and they all report 'complete' with no mention of any factors. Below results.txt (both B1 ending in triple zero and ending in triple 9 (with no known factors). I have kept the save files of these exponents from after the run with the 100% complete reporting bug as well as the ones after the run with no known factors.


[Thu Dec 16 16:18:45 2021]
UID: lisander/30.8b5, M5717 completed P-1, B1=200000000, Wi4: 1794843D
UID: lisander/30.8b5, M5741 completed P-1, B1=200000000, Wi4: 17FA8444
[Thu Dec 16 16:22:49 2021]
UID: lisander/30.8b5, M5903 completed P-1, B1=200000000, Wi4: 1794843E
UID: lisander/30.8b5, M5861 completed P-1, B1=200000000, Wi4: 17908447
UID: lisander/30.8b5, M5879 completed P-1, B1=200000000, Wi4: 17FD8448
UID: lisander/30.8b5, M5851 completed P-1, B1=200000000, Wi4: 17EA843C
[Thu Dec 16 23:42:24 2021]
UID: lisander/30.8b5, M5903 completed P-1, B1=200000999, Wi4: 17948BF0
[Thu Dec 16 23:44:13 2021]
UID: lisander/30.8b5, M5903 completed P-1, B1=200000999, Wi4: 17948BF0
[Thu Dec 16 23:53:14 2021]
UID: lisander/30.8b5, M5741 completed P-1, B1=200000999, Wi4: 17FA8B8A
UID: lisander/30.8b5, M5851 completed P-1, B1=200000999, Wi4: 17EA8BF2
UID: lisander/30.8b5, M5861 completed P-1, B1=200000999, Wi4: 17908B89
UID: lisander/30.8b5, M5879 completed P-1, B1=200000999, Wi4: 17FD8B86
UID: lisander/30.8b5, M5903 completed P-1, B1=200000999, Wi4: 17948BF0
[Thu Dec 16 23:59:21 2021]
UID: lisander/30.8b5, M5717 completed P-1, B1=200000999, Wi4: 17948BF3

[ATH]

Originally Posted by kruoli

Take the estimated T-Level that is already on your site, then calculate \((\text{T-level})/\log_{10}{2}\). This is your value.
Example: M1277 has an estimated T-Level of 62.878. The analog TF bit level would be 208 or 209 (yes, very high!).

I took M1277 P-1 to B1=10¹² and B2=2.3*10¹⁷ many years ago with GMP-ECM.

Other people might have gone higher.

[ATH]

Here are some P-1 files if someone wants to take them higher B1 at some point. I was just doing random tests of v30.8:
P-1files.zip

I was using Pminus1BestB2=0 in prime.txt choosing my own B1/B2 limits, that is why I did not change the 66 bits factored to.

1567	B1=50*109	B2=1016		Pminus1=1,2,1567,-1,50000000000,10000000000000000,"29257873823,488519841428152561,31523570928926921025805379993"
1583	B1=30*109	B2=1016		Pminus1=1,2,1583,-1,30000000000,10000000000000000,"3167,189961,8589359,43817441"
10303	B1=25*109	No stage2			Pminus1=1,2,10303,-1,25000000000,25000000000,66
32911	B1=5*109	B2=1014		Pminus1=1,2,32911,-1,5000000000,100000000000000,66
33091	B1=5*109	B2=1014		Pminus1=1,2,33091,-1,5000000000,100000000000000,66
33151	B1=5*109	B2=1014		Pminus1=N/A,1,2,33151,-1,5000000000,100000000000000,66
33161	B1=5*109	B2=1014		Pminus1=N/A,1,2,33161,-1,5000000000,100000000000000,66
33587	B1=5*109	B2=1014		Pminus1=N/A,1,2,33587,-1,5000000000,100000000000000,66
41927	B1=4*109	B2=1014		Pminus1=N/A,1,2,41927,-1,4000000000,100000000000000,66
44549	B1=2*109	B2=1014		Pminus1=N/A,1,2,44549,-1,2000000000,100000000000000,66
48119	B1=3*109	B2=1014		Pminus1=N/A,1,2,48119,-1,3000000000,100000000000000,66
49871	B1=109	B2=1014		Pminus1=N/A,1,2,49871,-1,1000000000,100000000000000,66

[SethTro]

Originally Posted by James Heinrich

The calculator will now accept either TF bitlevel or ECM T-Level as input. If the latter it will be converted to equivalent TF bitlevel.

Thanks James this is great!

One small suggestion could you make the Factor Probability column on the exponent page a link to the prob calculator with the values of that row filled in?

I think it might be cleanest if you style it so the link color is black (unless hovered over)

[firejuggler]

Also, please refer to https://www.mersenne.ca/userfactors/pm1/1/bits for "big" PM1 results.

[Zhangrc]

Originally Posted by lisanderke

Let's assume B1=4e12 (as suggested by Zhangrc, no clue what the runtime for B1 would be) and B2=800K times 4e12, and T-level = 50

That needs a month or more for stage 1, but you can run 6 to 8 stage 1 in parallel, it's not a big issue.
Stage 2 needs about the same time, but you'd better decrease it to 1/6 because it can't run in parallel. so average is one exponent per week.

[Prime95]

Originally Posted by lisanderke

Oh, that did finish the P-1, but it didn't report a factor. Could it be that the save file already knows the 8 factors?

That's not good. The save file knows nothing about the known factors.

Do the save files prior to the 100% reporting find known factors when the B1 bound is increased by 999?

[lisanderke]

I'm currently looking at the 40k range. I count 82 exponents from 40k-41k. I'll probably attempt to take them to B1=10^9 in anticipation of better optimized multi-threaded stage 2. Below an example of what probabilities I'm expecting (I'm rounding T-Level up from estimates on mersenne.ca);
No stage 2: https://www.mersenne.ca/prob.php?exp...&b1=1000000000
Stage 2 with B2=B1x800k: https://www.mersenne.ca/prob.php?exp...0&b2=8.0E%2B14
With previous posts in mind, this seems like a good range to throw my hat at! I might consider going higher than B1=10^9, but for now I'd like to start saving up lots of good B1-only save files. I'm eager to hear if there are other things to consider when P-1'ing in this range! From my due diligence, I assume Ryan Propper has probably not done as extensive ECM as they've done in the 5k range. https://www.mersenne.ca/userfactors/ecm/45930/exponent

[lisanderke]

Originally Posted by Prime95

That's not good. The save file knows nothing about the known factors.

Do the save files prior to the 100% reporting find known factors when the B1 bound is increased by 999?

I only have save files for the exponents in question from either when 100% reporting finished on its own, or I stopped the worker still reporting 100% (thus dumping progress to the save file of said exponents.) Unless you mean other exponents that I took to a certain B1, prior to when I was told how to make Prime95 do only B1 (as in; it was simply skipping stage 2 for those save files)