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-   -   Found a factor, sunshine? Embalm and entomb it here! (RU "Выкрасить и выбросить")) (https://www.mersenneforum.org/showthread.php?t=13977)

James Heinrich 2021-09-26 19:49

[QUOTE=Jwb52z;588762]I think this might be my biggest factor, ever! 127.734 bits![/QUOTE]No doubt about it, and by a full 10 bits too!
[url]https://www.mersenne.ca/userfactors/any/789/bits[/url]

Viliam Furik 2021-09-26 20:30

[QUOTE=Jwb52z;588762]P-1 found a factor in stage #1, B1=763000.
UID: Jwb52z/Clay, M106358779 has a factor: 282917789511750372931085031635362975391 (P-1, B1=763000),

I think this might be my biggest factor, ever!

127.734 bits![/QUOTE]

mersenne.ca agrees with the statement. Congratulations!

kruoli 2021-09-27 12:42

Additionally, it's stage 1 only, so really impressive! (k = 5 × 37 × 251 × 1493 × 2203 × 9533 × 25301 × 59467 × 607147)

Stargate38 2021-09-27 22:23

M1960050767 has a factor: 2681764646543406705689 [TF:68:72:mfaktc 0.21 barrett76_mul32_gs]

k=2^2*11^2*349*4049977

Zhangrc 2021-09-28 09:09

[QUOTE=Stargate38;588868]M1960050767 has a factor[/QUOTE]
If you mean >1G factors, There are plenty of them. Really easy to find :)
M9936653029 has a factor: 213977058851543423
M9936653539 has a factor: 246744834363283577
M9936654059 has a factor: 272196433996068913
M9936654521 has a factor: 591144276498767839
M9936654757 has a factor: 728248663011034327
M9936654911 has a factor: 1037904750655600609
M9936655019 has a factor: 1007399390014580737
M9936655051 has a factor: 212091622097602769
M9936656221 has a factor: 951250388947975799
M9936656707 has a factor: 433804860337259969
M9936656729 has a factor: 307538631463444391
M9936657383 has a factor: 264243303974865209
M9936657853 has a factor: 888262011431568497
M9936657859 has a factor: 201544436421468281

Happy5214 2021-09-28 09:18

[QUOTE=Zhangrc;588890]If you mean >1G factors, There are plenty of them. Really easy to find :)[/QUOTE]

It doesn't have to be a particularly noteworthy factor for Stargate to be fond of it. (Re-read the thread title.) Now, if we start adding sub-64-bit factors here, that may be crossing the line.

Miszka 2021-09-29 06:45

[M]M3000409[/M] has a 94.882-bit (29-digits) factor: [url=https://www.mersenne.ca/M3000409]36506847546234971967385191137[/url] (P+1, B1=15000000, B2=1530000000)
This is my first factor found using the P+1 method. The previous 36 attempts were unsuccessful.
Success is diminished by the fact that this is the second factor for this Mersenne number :confused:

axn 2021-09-29 07:05

[QUOTE=Miszka;588962]Success is diminished by the fact that this is the second factor for this Mersenne number :confused:[/QUOTE]

That doesn't diminish the success. What does diminish it is the fact that this is a stealth P-1 factor. i.e. Had you done P-1 to the same bounds, it would have found the factor quicker.

Miszka 2021-09-29 08:01

[QUOTE=axn;588964]That doesn't diminish the success. What does diminish it is the fact that this is a stealth P-1 factor. i.e. Had you done P-1 to the same bounds, it would have found the factor quicker.[/QUOTE]
In this case that would indeed be the case, but as I reviewed some results of the P+1 method there are many times when the P-1 method would not produce a result faster. e. g. [M]1891277[/M]
Unfortunately, it is impossible to predict which method will prove more effective in a particular case.

James Heinrich 2021-09-29 13:54

[QUOTE=Miszka;588966]I reviewed some results of the P+1 method there are many times when the P-1 method would not produce a result faster[/QUOTE]You can see from the [url=https://www.mersenne.ca/pplus1.php]list of successful P+1 efforts[/url] that it's a pretty even split between whether the factor could have been found by P-1 or not.

Miszka 2021-09-29 17:06

[QUOTE=James Heinrich;588986]You can see from the [url=https://www.mersenne.ca/pplus1.php]list of successful P+1 efforts[/url] that it's a pretty even split between whether the factor could have been found by P-1 or not.[/QUOTE]

Very interesting list!


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