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-   -   Found a factor? Post it here. (https://www.mersenneforum.org/showthread.php?t=13977)

 gLauss 2021-04-15 18:55

Finally, after hundreds of attempts (and thousands of curves) found my first factor with ECM :smile: Even if it is only 71bits, it shows that it is possible! [M]3255283[/M]

 masser 2021-04-15 20:13

[QUOTE=gLauss;575975]Finally, after hundreds of attempts (and thousands of curves) found my first factor with ECM :smile: Even if it is only 71bits, it shows that it is possible! [M]3255283[/M][/QUOTE]

Congrats! Nice find - may it be the first of many!

 James Heinrich 2021-04-16 01:19

Ryan strikes again. #11 on the all time biggest Mersenne factors [url=https://www.mersenne.ca/userfactors/any/1/bits]list[/url].

[M]M4283[/M] has a 219.268-bit (67-digit) factor: [url=https://www.mersenne.ca/M4283]1014581894481062086635266411284139009925301539055947709872564246847[/url] (ECM,B1=260000000,B2=3142865025316,Sigma=6655636513802850625)

 petrw1 2021-04-16 14:14

Almost....Laurv

Factor ends with ... let's see 1, 2, 3: 69.
Exponent ends with 369; and starts with 396.
Exponent has 5 out of 8 digits 6 or 9: 40%
Factor has 9 out of 23 digits 6 or 9: 39%.
Time found contains a 6 and a 9.

[CODE]39626369 F-PM1 2021-04-16 06:19 Factor: 35172309356636629912369[/CODE]

 Viliam Furik 2021-04-16 15:31

[QUOTE=petrw1;576000]Factor ends with ... let's see 1, 2, 3: 69.
Exponent ends with 369; and starts with 396.
Exponent has 5 out of 8 digits 6 or 9: [B]40%[/B]
Factor has 9 out of 23 digits 6 or 9: 39%.
Time found contains a 6 and a 9.

[CODE]39626369 F-PM1 2021-04-16 06:19 Factor: 35172309356636629912369[/CODE][/QUOTE]

I'm pretty sure that's supposed to be 62.5%

 James Heinrich 2021-04-16 15:37

[QUOTE=LaurV;574333]Congrats, triple 59, next one you will find will start with a quadruple 69... :razz:[/QUOTE]TJAOI did that 7 years ago: [M]M926969327[/M] has a 49.308-bit (15-digit) factor: [url=https://www.mersenne.ca/M926969327]696969697584761[/url]

 slandrum 2021-04-16 15:40

[QUOTE=James Heinrich;576004]TJAOI did that 7 years ago: [M]M926969327[/M] has a 49.308-bit (15-digit) factor: [url=https://www.mersenne.ca/M926969327]696969697584761[/url][/QUOTE]

As well as double 69 in the exponent!

 ATH 2021-04-16 16:46

[QUOTE=James Heinrich;576004]TJAOI did that 7 years ago: [M]M926969327[/M] has a 49.308-bit (15-digit) factor: [url=https://www.mersenne.ca/M926969327]696969697584761[/url][/QUOTE]

[M]345495211[/M]: Factored 1163[B]69696969[/B]03
[M]608055197[/M]: Factored 23981[B]69696969[/B]

 petrw1 2021-04-28 04:39

Consecutive P-1 factors with repeated ending digits

Magic_8_Ball 39629561 F-PM1 2021-04-27 14:21 Factor: 63762133812827843899999
Magic_8_Ball 39605273 F-PM1 2021-04-28 03:00 Factor: 204171204894399516952237777

 James Heinrich 2021-04-30 17:49

Another impressive one from Ryan (#14 on the overall biggest [url=https://www.mersenne.ca/userfactors/ecm/1/bits]list[/url], and he also got #11, #12 spots in the last 2 weeks)
[M]M4001[/M] has a 212.771-bit (65-digit) factor: [url=https://www.mersenne.ca/M4001]11228234992112410011165597181282604695853195021678012695442609737[/url] (ECM,B1=850000000,B2=14182957708936,Sigma=15234304705639590802)

 petrw1 2021-05-04 17:27

9/63

9 P-1 factors in 63 (14.28%) attempts working on assignments with an expected success rate of 3%.

 firejuggler 2021-05-05 15:55

[M]M23516089[/M] has a 70.456-bit (22-digit) factor: [url=https://www.mersenne.ca/M23516089]1619450690983460996873[/url] (P-1,B1=1200000,B2=76800000)

This is almost frustrating, as it was TF'ed to 70bit. But I really like it because the B1 is almost perfect.

k= 2^2*1 175 411 *7 323 571

 firejuggler 2021-05-06 02:39

Well, I decided to run a PP1 curse on my old already factored exponent.
This is my first pp1 factor

P+1 found a factor in stage #2, B1=500000, B2=26500000.
UID: firejuggler/Maison, M8805827 has a factor: 4175293398605056163377 (P+1, B1=500000, B2=26500000)

 Jwb52z 2021-05-06 18:45

P-1 found a factor in stage #2, B1=740000, B2=20264000.
UID: Jwb52z/Clay, M103695649 has a factor: 2004109083829816426995592903 (P-1, B1=740000, B2=20264000).

90.695 bits.

 firejuggler 2021-05-07 15:17

[M]M23517601[/M] has a 195.647-bit (59-digit) [b]composite[/b] (P27+P33) factor: [url=https://www.mersenne.ca/M23517601]78650091603029033018091227770166444001988216065464577593033[/url] (P-1,B1=1200000,B2=79200000)

 Jwb52z 2021-05-12 14:55

UID: Jwb52z/Clay, M103808857 has a factor: 1401232317330993509639727923687 (P-1, B1=740000),

100.145 bits.

 kruoli 2021-05-17 08:20

[M]M103830131[/M] has a 157.127-bit (48-digit) [b]composite[/b] (P24+P24) factor: [url=https://www.mersenne.ca/M103830131]199531333730879095999006796725214407904194653871[/url] (P-1,B1=1708000)

While the composite factor itself it not extremely interesting by itself, I find it interesting because:
- it was found in stage 1.
- the prime factors are very similar in size (78.460 and 78.667 bits).

The prime factors are 415767534785818078323247 and 479910808412848576977793.

 axn 2021-05-17 08:56

Nice!

 LaurV 2021-05-29 14:38

M106722533 has an 110 bits factor 771972811871697820846912678000249.

Albeit 110 bits is not a joke, the factor is not a record in itself, but it is quite large and nice, considering the fact that was found in stage 1 (yes, it is [URL="https://www.mersenne.ca/exponent/106722533"]sooo smooth[/URL], like ice cream!)

 Viliam Furik 2021-05-29 15:00

[QUOTE=LaurV;579389]M106722533 has an [STRIKE]110[/STRIKE] bits factor 771972811871697820846912678000249. [/QUOTE]

Liar! Only 109 bits, 109.25 to be more exact. :razz:

 James Heinrich 2021-05-29 15:17

[QUOTE=Viliam Furik;579393]Liar! Only 109 bits, 109.25 to be more exact. :razz:[/QUOTE]Why stop there? 109.25024907447 :whee:

But LaurV isn't wrong, the factor does take 110 bits to represent. You don't say it's 32.8876 decimal digits long. :smile:

 Dr Sardonicus 2021-05-30 13:41

[QUOTE=Viliam Furik;579393][QUOTE=LaurV;579389]M106722533 has an [STRIKE]110[/STRIKE] bits factor 771972811871697820846912678000249. [/QUOTE]Liar! Only 109 bits, 109.25 to be more exact. :razz:[/QUOTE]Oops.

From my "I can't count" liturgy:

[b]Versicle:[/b] How many bits in two to the first power?

[b]Versicle:[/b] How many decimal digits in ten to the first power?

From the output of Pari-GP:
[code]? v=binary(771972811871697820846912678000249)
%1 = [1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1]
? #v
%2 = 110
?[/code]

 Uncwilly 2021-05-30 16:17

A nice run of the mill 79 bit factor: 1025757166134493292294953
But, it was found when I poached (not sorry) a stalled P-1 that was in the lowest 25 exponents for FTC.
[M]103547179[/M]
There are others down there that have zero check ins since assigned and are more than a month old and thus have violated the rules for Cat 0 (but the rules do seem to apply to P-1 assignments down in the low FTC's)[LIST][*]Must be completed in 30 days[*]Assignments are recycled if assignment is not started with 7 days or when assignment is more than 30 days old.[/LIST]

 chalsall 2021-05-30 16:41

[QUOTE=Uncwilly;579496]There are others down there that have zero check ins since assigned and are more than a month old and thus have violated the rules for Cat 0 (but the rules do seem to apply to P-1 assignments down in the low FTC's)[/QUOTE]

Just so you know, I'm working on those held by ANONYMOUS and Kas. Should all be done in about three days (assuming Colab cooperates).

 Uncwilly 2021-05-30 18:26

[QUOTE=chalsall;579497]Just so you know, I'm working on those held by ANONYMOUS and Kas. Should all be done in about three days (assuming Colab cooperates).[/QUOTE]
I have been working bottom up getting about 9 every 5 days.

 chalsall 2021-05-30 22:22

[QUOTE=Uncwilly;579503]I have been working bottom up getting about 9 every 5 days.[/QUOTE]

Yeah. I am aware you are on a certain team... :tu:

Just wanted to declare intentions, so we didn't duplicate efforts. A Compute Cycle is a terrible thing to waste! :wink:

 Viliam Furik 2021-05-30 22:34

[QUOTE=James Heinrich;579396]Why stop there? 109.25024907447 :whee:

But LaurV isn't wrong, [B]the factor does take 110 bits to represent[/B]. You don't say it's 32.8876 decimal digits long. :smile:[/QUOTE]

Oh, didn't realize that. Sorry, LaurV.

 Uncwilly 2021-06-01 14:42

[QUOTE=Uncwilly;579496]A nice run of the mill 79 bit factor: 1025757166134493292294953
But, it was found when I poached (not sorry) a stalled P-1 that was in the lowest 25 exponents for FTC.
[M]103547179[/M][/QUOTE]
Just got me another like it: [URL="https://www.mersenne.org/report_exponent/?exp_lo=103566409&full=1"]312854885986074648542201 [/URL]
78 bits
The old P-1 assignment had been sitting on this low Cat 0 assignment since April 18. Hadn't checked in since then. P-1 is the wild west. No expiry after 30 days, no expiry after not starting in 7 days. (This was in the bottom 25 again).

 Jwb52z 2021-06-02 01:58

P-1 found a factor in stage #1, B1=736000.
UID: Jwb52z/Clay, M104224103 has a factor: 457222887848673747662129713 (P-1, B1=736000)

88.563 bits.

 Viliam Furik 2021-06-08 19:43

Yay, I found my first top-500 factor. Not even on the list yet, but soon. Albeit only at 495th place.

[M]M2315107[/M] has a 118.475-bit (36-digit) factor: [url=https://www.mersenne.ca/M2315107]461896913357939229136479311870224273[/url] (P-1,B1=5000000,B2=505000000)

461896913357939229136479311870224273 = 2 * (2^3 * 3 * 7 * 59 * 13381 * 412537 * [B]3,978,523[/B] * [B]458,257,259[/B]) * 2315107

Also a relatively tight fit in the bounds.

 James Heinrich 2021-06-08 19:47

[QUOTE=Viliam Furik;580379]Yay, I found my first top-500 factor[/QUOTE]:party:

 Viliam Furik 2021-06-09 09:50

[QUOTE=Viliam Furik;580379]Yay, I found my first top-500 factor. Not even on the list yet, but soon. Albeit only at 495th place.

[M]M2315107[/M] has a 118.475-bit (36-digit) factor: [url=https://www.mersenne.ca/M2315107]461896913357939229136479311870224273[/url] (P-1,B1=5000000,B2=505000000)

461896913357939229136479311870224273 = 2 * (2^3 * 3 * 7 * 59 * 13381 * 412537 * [B]3,978,523[/B] * [B]458,257,259[/B]) * 2315107

Also a relatively tight fit in the bounds.[/QUOTE]

And the last fun fact to add is that it almost went unnoticed. I have run out of my worktodo, and that triggered the setting in the prime.txt that turned off the PrimeNet usage, so the factor, being found after these events, has not been reported immediately. If I didn't notice that nothing was being reported, I wouldn't have found it, and it would have been buried in the results files until deletion.

Is there a way to not get work from PrimeNet but not quit the PrimeNet after work is done? Basically, I want a monologue relationship with PrimeNet; I talk to him, but he doesn't reply :grin:.

 firejuggler 2021-06-09 10:01

On prime95, Advanced, manual communication, Do not contact Primenet server automatically (a box to be checked). just below there is an already checked box for 'contact now'

 Viliam Furik 2021-06-09 10:52

[QUOTE=firejuggler;580424]On prime95, Advanced, manual communication, Do not contact Primenet server automatically (a box to be checked). just below there is an already checked box for 'contact now'[/QUOTE]

I believe this would mean I'd have to manually upload every once in a while, and when I would upload, it would, in the process of contacting the PrimeNet, get some assignments back, which I don't want. Or not?

 kruoli 2021-06-09 10:58

[QUOTE=Viliam Furik;580423]Is there a way to not get work from PrimeNet but not quit the PrimeNet after work is done?[/QUOTE]

What about manually setting [C]DaysOfWork=0[/C]? That way, you'll never get automatic work and the results still will be reported normally.

 Uncwilly 2021-06-09 12:37

[QUOTE=Viliam Furik;580423]Is there a way to not get work from PrimeNet but not quit the PrimeNet after work is done? Basically, I want a monologue relationship with PrimeNet; I talk to him, but he doesn't reply :grin:.[/QUOTE]
NoMoreWork=1 in prime.txt

 sweety439 2021-06-09 13:59

[QUOTE=Jwb52z;577821]P-1 found a factor in stage #2, B1=740000, B2=20264000.
UID: Jwb52z/Clay, M103695649 has a factor: 2004109083829816426995592903 (P-1, B1=740000, B2=20264000).

90.695 bits.[/QUOTE]

When I add the P-1 method with B1=740000, B2=20264000 for [URL="http://factordb.com/index.php?id=1100000002602478101"]this prime in factordb[/URL], it says "Err: Calculated grouporder 2004109083829816426995592902<28> is not within B1/B2 bounds (B1=740000, B2=20264000). Please check your result!"

 Viliam Furik 2021-06-09 14:01

[QUOTE=Uncwilly;580431]NoMoreWork=1 in prime.txt[/QUOTE]

That is the setting I am using, but it turns off the PrimeNet connection when out of work. It prints out "Successfully quit GIMPS" in the Comm thread.

 Viliam Furik 2021-06-09 14:03

[QUOTE=kruoli;580427]What about manually setting [C]DaysOfWork=0[/C]? That way, you'll never get automatic work and the results still will be reported normally.[/QUOTE]

That may help. I'll try it.

 Viliam Furik 2021-06-09 14:08

[QUOTE=sweety439;580439]When I add the P-1 method with B1=740000, B2=20264000 for [URL="http://factordb.com/index.php?id=1100000002602478101"]this prime in factordb[/URL], it says "Err: Calculated grouporder 2004109083829816426995592902<28> is not within B1/B2 bounds (B1=740000, B2=20264000). Please check your result!"[/QUOTE]

Maybe it's got a problem with the exponent P=103695649.

2004109083829816426995592902 = 2 * 3 * 281 * 29917 * 47269 * 8106041 * 103695649, so the biggest factor is 103695649, the exponent, which is bigger than B2=20264000.

Is it possible it's not accounting for the special form of Mersenne factors, which allows ignoring P as a factor of Q-1 (Q is the factor found) and only using the general rules for factors found by the P-1 method?

 axn 2021-06-09 14:20

[QUOTE=Viliam Furik;580442]Is it possible it's not accounting for the special form of Mersenne factors, which allows ignoring P as a factor of Q-1 (Q is the factor found) and only using the general rules for factors found by the P-1 method?[/QUOTE]
That's probably it.

 Viliam Furik 2021-06-10 09:11

[M]M1001159[/M] has a 120.912-bit (37-digit) factor: [url=https://www.mersenne.ca/M1001159]2500439903769890259112379635985290039[/url] (P-1,B1=10000000,B2=1110000000)

Is it Christmas already? This one should come in at about 365th place.

 firejuggler 2021-06-10 10:30

No, no, no, I have no budget for christmass right now. So it is NOT christmass. At least for another 6 month.

 Uncwilly 2021-06-10 13:51

[QUOTE=Viliam Furik;580523][M]M1001159[/M] has a 120.912-bit (37-digit) factor: [url=https://www.mersenne.ca/M1001159]2500439903769890259112379635985290039[/url] (P-1,B1=10000000,B2=1110000000)

Is it Christmas already? This one should come in at about 365th place.[/QUOTE]
You have bet my best. I am in the 120 bit club too. Very nice catch.
:faf:

 firejuggler 2021-06-12 19:01

M[M]23554211[/M] has a 114.027-bit (35-digit) factor: [URL="https://www.mersenne.ca/M23554211"]21164767805799094411604254592575543[/URL] (P-1,B1=1200000,B2=79200000)
I also have a near Christmass time

 LaurV 2021-06-13 04:28

We found both an [URL="https://www.mersenne.ca/exponent/35124833"]98.x[/URL] and [URL="https://www.mersenne.ca/exponent/35123269"]101.x[/URL] bits factors in 35.1M range, [STRIKE]what's worth mentioning them is the fact they were both found in a row, one after the other, and both found [U]in stage 1[/U] (!)
They are not sync'd on James' site yet, but they are indeed very smooth![/STRIKE]

 Viliam Furik 2021-06-13 09:33

[QUOTE=LaurV;580844]We found both an [URL="https://www.mersenne.org/report_exponent/?exp_lo=35120669&full=1"]98.x[/URL] and [URL="https://www.mersenne.org/report_exponent/?exp_lo=35124833&full=1"]101.x[/URL] bits factors in 35.1M range, what's worth mentioning them is the fact they were both found in a row, one after the other, and both found [U]in stage 1[/U] (!)
They are not sync'd on James' site yet, but they are indeed very smooth![/QUOTE]

Your 98.x factor directs to 83.x factor and 101.x factor directs to 98.x factor.

 LaurV 2021-06-13 10:06

Fixed, thank you very much! (I didn't edit the quote in your post, only my post). I got lost in so many factors and links. But in this case, the 101 is not anymore "smooth". My mistake. As they were not yet on mersenne.ca at the time, I wrongly remembered their size (which is displayed when reporting), and I assumed the 101 was the smooth one (the "smoothness" is deduced from the amount of credit given, you don't need to do any calculation or to see the k value to know your factor is very smooth, hehe).

Therefore, to repair the damage, take this new [URL="https://www.mersenne.ca/exponent/35126153"]115 bits[/URL] guy here... :razz:

 Jwb52z 2021-06-14 23:57

[QUOTE=sweety439;580439]When I add the P-1 method with B1=740000, B2=20264000 for [URL="http://factordb.com/index.php?id=1100000002602478101"]this prime in factordb[/URL], it says "Err: Calculated grouporder 2004109083829816426995592902<28> is not within B1/B2 bounds (B1=740000, B2=20264000). Please check your result!"[/QUOTE]Um, I don't know how to check the result. I just report what the screen and results file shows me.

 Jwb52z 2021-06-15 00:00

P-1 found a factor in stage #2, B1=737000, B2=20466000.
UID: Jwb52z/Clay, M104363929 has a factor: 12877212261710761007261993 (P-1, B1=737000, B2=20466000),

83.413 bits.

 Jwb52z 2021-07-01 16:29

P-1 found a factor in stage #1, B1=739000.
UID: Jwb52z/Clay, M104656151 has a factor: 179821323726211482179833 (P-1, B1=739000)

77.251 bits.

 firejuggler 2021-07-01 20:36

one of my biggest find
[M]M35821609[/M] has a 114.854-bit (35-digit) factor: [url=https://www.mersenne.ca/M35821609]37533512686961073352872057770174521[/url] (P-1,B1=1200000,B2=73200000)

 Jwb52z 2021-07-02 19:40

P-1 found a factor in stage #1, B1=739000.
UID: Jwb52z/Clay, M104679433 has a factor: 7144991229022485833889497 (P-1, B1=739000)

82.563 bits.

 Jwb52z 2021-07-04 03:58

P-1 found a factor in stage #2, B1=739000, B2=20534000.
UID: Jwb52z/Clay, M104710483 has a factor: 2087604414043709000130191 (P-1, B1=739000, B2=20534000)

80.788 bits.

 Happy5214 2021-07-04 10:58

P-1 found a factor in stage #1, B1=10000000.
M524351 has a factor: 210100758636629488891459910447 (P-1, B1=10000000)

This 97.407-bit factor is notable because it's my first P-1 Mersenne factor.

 James Heinrich 2021-07-04 13:26

[QUOTE=Happy5214;582582]This 97.407-bit factor is notable because it's my first P-1 Mersenne factor.[/QUOTE]Congrats, and may you find many more! :smile:

 firejuggler 2021-07-08 17:29

M23851277 has a factor: 2172095945184050340167 [TF:70:71*:mfaktc 0.21 barrett76_mul32_gs]
found 1 factor for M23851277 from 2^70 to 2^71 (partially tested) [mfaktc 0.21 barrett76_mul32_gs]
k=3 989 × 11 414 932 211

A not at all smooth k ( found with mfaktc)

 Jwb52z 2021-07-10 05:56

P-1 found a factor in stage #2, B1=755000, B2=20983000.
UID: Jwb52z/Clay, M104819381 has a factor: 574983783644612576435518337 (P-1, B1=755000, B2=20983000)

88.894 bits.

 Jwb52z 2021-07-14 00:26

P-1 found a factor in stage #1, B1=756000.
UID: Jwb52z/Clay, M104890637 has a factor: 126027633778180756401977 (P-1, B1=756000)

76.738 bits.

 Viliam Furik 2021-07-21 14:22

I have almost bested myself...

[M]M1030361[/M] has a 120.867-bit (37-digit) factor: [url=https://www.mersenne.ca/M1030361]2424326756295464099182822578592235663[/url] (P-1,B1=10000000)

But still a big factor! Now I have two top-500 entries.

:party:

 LaurV 2021-07-22 02:01

[QUOTE=Viliam Furik;583654]Now I have two top-500 entries.
[/QUOTE]
:tu: Paraphrasing James, congrats and may you have many more in the future!

 Jwb52z 2021-07-28 03:09

P-1 found a factor in stage #1, B1=759000.
UID: Jwb52z/Clay, M105269581 has a factor: 6228935338450361187678798473 (P-1, B1=759000)

92.331 bits. This is the highest bit level one I've had in a while, especially in stage 1.

 James Heinrich 2021-07-28 14:34

[QUOTE=Jwb52z;584151]92.331 bits. This is the highest bit level one I've had in a while, especially in stage 1.[/QUOTE]Since [url=https://www.mersenne.ca/userfactors/pm1/789/date]early May[/url].

 Viliam Furik 2021-07-29 23:37

[QUOTE=LaurV;583728]:tu: Paraphrasing James, congrats and may you have many more in the future![/QUOTE]

Sure did!

[M]M1055471[/M] has a 123.071-bit (38-digit) factor: [url=https://www.mersenne.ca/M1055471]11172871966337160594575665335374991233[/url] (P-1,B1=10000000,B2=1000000000)

My new personal record, about 288th place in the top 500 when it's updated.

:party:

 gLauss 2021-07-31 09:48

Found a nice P+1 factor, with 101 bits it is currently in the top 10 of Mersenne factors found by P+1. And k is prime, too! [URL="https://www.mersenne.ca/exponent/836683"]M836683[/URL].

 Viliam Furik 2021-08-07 17:10

These 500K exponents are a gold mine.

[M]M538751[/M] has a 132.045-bit (40-digit) factor: [url=https://www.mersenne.ca/M538751]5617865834413045127033000770286991147617[/url] (P-1,B1=10000000,B2=1110000000)

New personal best!
:party:

I am doing the P-1 with bounds as mentioned -> B1=10,000,000, B2 is automatic. This results in about 1.35 GHz-D of work, on average. If anyone wants to look for potentially really big factors, I recommend B1=25,000,000, at least. I think I am going to change it to that value right now...

 LaurV 2021-08-08 06:41

[QUOTE=Viliam Furik;585115][M]M538751[/M] has a 132.045-bit (40-digit) factor: [URL="https://www.mersenne.ca/M538751"]5617865834413045127033000770286991147617[/URL] (P-1,B1=10000000,B2=1110000000)

New personal best![/QUOTE]
Yay! Well done! :tu:
Congrats!

 Happy5214 2021-08-08 14:18

[QUOTE=Viliam Furik;585115]These 500K exponents are a gold mine.

[M]M538751[/M] has a 132.045-bit (40-digit) factor: [url=https://www.mersenne.ca/M538751]5617865834413045127033000770286991147617[/url] (P-1,B1=10000000,B2=1110000000)

New personal best!

[...]

I am doing the P-1 with bounds as mentioned -> B1=10,000,000, B2 is automatic. This results in about 1.35 GHz-D of work, on average. If anyone wants to look for potentially really big factors, I recommend B1=25,000,000, at least. I think I am going to change it to that value right now...[/QUOTE]

Glad you're getting mileage (or whatever the SI equivalent is) from the 500K range. I only found one factor from the whole 520K-525K range (mentioned in a previous post in this thread) using the worktodo-generating Python script.

 Viliam Furik 2021-08-08 17:19

[QUOTE=Happy5214;585170]Glad you're getting mileage (or whatever the SI equivalent is) from the 500K range. I only found one factor from the whole 520K-525K range (mentioned in a previous post in this thread) using the worktodo-generating Python script.[/QUOTE]

I am searching all factored exponents starting from 500,009 and increasing their bounds to 10,000,000. For the next ones, I switched to 20,000,000, which means fewer exponents per day, but a higher chance of factors. Based on the results, I will decide whether to switch back or continue with 20 million.

I am planning on getting to 1M exponents someday, where I've already started P-1, but I went to 500K because I thought those should also be lifted.

 Happy5214 2021-08-09 00:52

[QUOTE=Viliam Furik;585189]I am searching all factored exponents starting from 500,009 and increasing their bounds to 10,000,000. For the next ones, I switched to 20,000,000, which means fewer exponents per day, but a higher chance of factors. Based on the results, I will decide whether to switch back or continue with 20 million.

I am planning on getting to 1M exponents someday, where I've already started P-1, but I went to 500K because I thought those should also be lifted.[/QUOTE]

I've moved up to the 5.21M range for my next batch (based on the number in my user name), so there shouldn't be any conflicts between us. There's less ECM in that range too, so the B2's generated by that Python script should be higher. (I noticed your B2 was a bit higher than mine, and I was getting slightly under 1 GHz-day credit on my P-1 tasks.)

 Viliam Furik 2021-08-09 02:08

[QUOTE=Happy5214;585214]I've moved up to the 5.21M range for my next batch (based on the number in my user name), so there shouldn't be any conflicts between us. There's less ECM in that range too, so the B2's generated by that Python script should be higher. (I noticed your B2 was a bit higher than mine, and I was getting slightly under 1 GHz-day credit on my P-1 tasks.)[/QUOTE]

It depends on the allocated RAM, and other things, so allowing ~2.5 GB of RAM per worker probably makes the difference.

Meanwhile...
Oh, you generated your B2s yourself. I let Prime95 generate them. So that's probably the main difference.

You can simply use this tool on mersenne.ca [URL="https://www.mersenne.ca/morefactors.php"]here[/URL]. You can set your exponent range and B1, and it will generate worktodo lines for you. You only need to delete those which already had a bigger B1 done. Or use a script for them...

 Happy5214 2021-08-09 03:13

[QUOTE=Viliam Furik;585219]It depends on the allocated RAM, and other things, so allowing ~2.5 GB of RAM per worker probably makes the difference.

Meanwhile...
Oh, you generated your B2s yourself. I let Prime95 generate them. So that's probably the main difference.

You can simply use this tool on mersenne.ca [URL="https://www.mersenne.ca/morefactors.php"]here[/URL]. You can set your exponent range and B1, and it will generate worktodo lines for you. You only need to delete those which already had a bigger B1 done. Or use a script for them...[/QUOTE]

No, I used [url]https://github.com/keisentraut/prime95-optimal-worktodo[/url], which leaves B2 blank (letting mprime determine it). However, it also adjusts the TF field in the worktodo based on the ECM level, so I think I was getting lower B2's since there was more ECM work done (and thus a higher implicit TF level). My max RAM allocation for that instance is 32 GB, and it never got close to that while I was doing that range.

 Happy5214 2021-08-13 19:50

M5210099 has a factor: 2944892728119316210127 (P-1, B1=2500000, B2=207500000) (71.319 bits)

It's puny, I know, but I'm fond of it because it's my first non-ECM stage 2 Mersenne factor. My previous P-1 and P+1 factors were both found in stage 1.

 Miszka 2021-08-15 14:25

[URL="https://www.mersenne.org/report_exponent/?exp_lo=23243107&full=1"]M23243107 [/URL] has three factors in the TF71 range. It's kind of a curiosity.
I happened to find 2 factors in one TF range several times, but 3 for the first time!

 Viliam Furik 2021-08-15 15:07

[QUOTE=Miszka;585698][URL="https://www.mersenne.org/report_exponent/?exp_lo=23243107&full=1"]M23243107 [/URL] has three factors in the TF71 range. It's kind of a curiosity.
I happened to find 2 factors in one TF range several times, but 3 for the first time![/QUOTE]

Not so long ago I had a brief discussion with user tuckerkao about the possibility of this happening... Nice luck!

 James Heinrich 2021-08-15 15:12

[QUOTE=Miszka;585698][URL="https://www.mersenne.org/report_exponent/?exp_lo=23243107&full=1"]M23243107 [/URL] has three factors in the TF71 range. It's kind of a curiosity.[/QUOTE]But not as rare as you might think. There are >2500 such examples in GIMPS range (but only 6 new examples have been found so far in 2021).
There are (so far) only 7 examples where there are [b]4[/b] known factors in the same bitlevel:
[m]33218089[/m], [m]128757283[/m], [m]143570279[/m], [m]234616103[/m], [m]563950589[/m], [m]578590853[/m], [m]946287211[/m]

 Miszka 2021-08-15 16:06

[QUOTE=James Heinrich;585702]But not as rare as you might think. There are >2500 such examples in GIMPS range (but only 6 new examples have been found so far in 2021).
There are (so far) only 7 examples where there are [b]4[/b] known factors in the same bitlevel:
[m]33218089[/m], [m]128757283[/m], [m]143570279[/m], [m]234616103[/m], [m]563950589[/m], [m]578590853[/m], [m]946287211[/m][/QUOTE]
These 7 examples have a fairly low bitlevel and it will be rather very difficult to find similar ones with a bitlevel above 70-some

 Jwb52z 2021-08-16 23:55

P-1 found a factor in stage #2, B1=760000, B2=20835000.
UID: Jwb52z/Clay, M105530011 has a factor: 700781945616999543935075224151 (P-1, B1=760000, B2=20835000)

99.145 bits.

 James Heinrich 2021-08-20 00:43

Not mine, but a pretty triple factor:

[M]M105587893[/M] has a 236.753-bit (72-digit) [b]composite[/b] (P23+P24+P26) factor: [url=https://www.mersenne.ca/M105587893]186125867355522179214500290117704070927566484401081129960541990698683479[/url] (P-1,B1=823000)

 masser 2021-08-20 01:25

[QUOTE=James Heinrich;586092]Not mine, but a pretty triple factor:

[M]M105587893[/M] has a 236.753-bit (72-digit) [b]composite[/b] (P23+P24+P26) factor: [url=https://www.mersenne.ca/M105587893]186125867355522179214500290117704070927566484401081129960541990698683479[/url] (P-1,B1=823000)[/QUOTE]

That's pretty sublime.

 LaurV 2021-08-20 07:05

Nice! That is a beauty! I didn't found a triple yet.
Congrats to the founder! (Kriesel)

 ET_ 2021-08-20 09:10

The smaller with 76.191 bits is close to the 76 bit range for such exponents :smile:

 nordi 2021-08-20 11:39

[M]M1897121[/M] has a 77.294-bit (24-digit) factor: [URL="https://www.mersenne.ca/M1897121"]185310913945752397948441[/URL] (ECM,B1=50000,B2=6750000) <-- the 9th known factor
[M]M194653[/M] has a 119.349-bit (36-digit) factor: [URL="https://www.mersenne.ca/M194653"]846314715301812068679342636153284159[/URL] (ECM,B1=1000000,B2=135000000) <-- the 9th known factor
[M]M599803[/M] has a 106.747-bit (33-digit) factor: [URL="https://www.mersenne.ca/M599803"]136181509257226777136568353013047[/URL] (ECM,B1=3000000,B2=528000000) <-- [B]the 10th known factor[/B]!

I'll run more curves on them, maybe I get lucky and beat the current record of 11 known factors.

 firejuggler 2021-08-20 15:00

Wow, very nice!

 Happy5214 2021-08-25 07:29

New P+1 factor: 67111165753873384058235537928247 for M[M]5210563[/M] (B1=1,250,000, start=2/7) (105.726 bits)

It's my largest non-ECM factor ever and just half a bit off my personal best. All from stage 1 with low (but recommended) bounds. Plus it's the first factor for that exponent.

 axn 2021-08-25 09:52

[QUOTE=Happy5214;586460]New P+1 factor: 67111165753873384058235537928247 for M[M]5210563[/M] (B1=1,250,000, start=2/7) (105.726 bits)[/QUOTE]

Wow! That is one super-smooth factor.

 masser 2021-08-25 19:39

[QUOTE=Happy5214;586460]New P+1 factor: 67111165753873384058235537928247 for M[M]5210563[/M] (B1=1,250,000, start=2/7) (105.726 bits)

It's my largest non-ECM factor ever and just half a bit off my personal best. All from stage 1 with low (but recommended) bounds. Plus it's the first factor for that exponent.[/QUOTE]

:bow:

 Zhangrc 2021-08-26 11:48

[M]M111298777[/M] has a factor: 135398831970267435540791 (76.842 bits)
k = 5 × 23 × 37 × 313 × 1069 × 427241
Another P-1 smooth factor found by TF.

 Zhangrc 2021-08-27 15:16

[QUOTE=Zhangrc;586546][M]M111298777[/M] has a factor: 135398831970267435540791 (76.842 bits)[/QUOTE]

[M]M111298699[/M] has a factor: 82602996758522984927977 (76.129 bits)

2 factors were found out of 22 trials in the 111.2M range. That's lucky enough, for there were some time when I tested more than 500 exponents without finding a single factor.
:bounce:

 Jwb52z 2021-08-27 21:30

P-1 found a factor in stage #1, B1=762000.
UID: Jwb52z/Clay, M105693659 has a factor: 215018688290325922746529 (P-1, B1=762000)

77.509 bits.

 bur 2021-08-29 17:51

I was running a few ECM small assignments and a factor turned up.

Sigma=5667910856171759, B1=50000, B2=5000000.
M2088329 has a factor: 185217242100981866539823

24 digits, 77.3 bits
k = 197 * 1237 * 181977029831

 Happy5214 2021-08-30 03:16

M[M]5211229[/M] gave me a 114.058-bit P-1 factor (21623513459060090628814036845352337) (an all-time personal best by almost 8 bits) [I]and[/I] a separate 90.559-bit stage 1 P+1 factor (1824415976895261507796344041).

 LaurV 2021-08-30 03:49

[QUOTE=Happy5214;586838]M[M]5211229[/M] gave me a 114.058-bit P-1 factor (21623513459060090628814036845352337) (an all-time personal best by almost 8 bits) [I]and[/I] a separate 90.559-bit stage 1 P+1 factor (1824415976895261507796344041).[/QUOTE]
That's Totally B-E-A-Utiful!
Congrats!

 Happy5214 2021-08-30 08:23

[QUOTE=Happy5214;586838]M[M]5211229[/M] gave me a 114.058-bit P-1 factor (21623513459060090628814036845352337) (an all-time personal best by almost 8 bits) [I]and[/I] a separate 90.559-bit stage 1 P+1 factor (1824415976895261507796344041).[/QUOTE]

Those were both logged in the 2 PM local (America/Chicago) hour Sunday, while I was sleeping (I didn't wake up until after 7 PM local Sunday night). Less than 11 hours later, just after 1 AM local Monday, I beat my personal best again:

275190978175938200476768961501749313 for M[M]5211289[/M] (B1=2,500,000, B2=240,000,000) (117.728 bits)

Sadly, no bonus P+1 hit for this one.

 firejuggler 2021-09-09 17:08

[M]M6282557[/M] has a 112.036-bit (34-digit) factor: [url=https://www.mersenne.ca/M6282557]5324115842154238964583982961636201[/url] (P-1,B1=3000000,B2=90000000)

Quite nice one, and first found in that range for me.

 James Heinrich 2021-09-12 14:29

My CPUs have mostly been busy doing other stuff for months, so I was mildly excited to see my first P-1 factor since June:
[M]M105233789[/M] has a 92.789-bit (28-digit) factor: [url=https://www.mersenne.ca/M105233789]8554126736286122188536749441[/url] (P-1,B1=820000,B2=34707000)
Only to discover it had been lingering in worktodo for too long and had apparently expired and someone else found the factor two weeks ago. :picard:

 birtwistlecaleb 2021-09-21 21:54

My list of factors for numbers in the 200 million digit range (M7593XXXXX to be specific)

Disclaimer: You may not see these in mersenne.ca, but this is probably because I self assigned them.
[URL="https://www.mersenne.org/report_exponent/?exp_lo=759376643&full=1"]M759376643[/URL] factor: 14247797623131731084353
[URL="https://www.mersenne.org/report_exponent/?exp_lo=759376729&full=1"]M759376729[/URL] factor: 4094254204485992428199
[URL="https://www.mersenne.org/report_exponent/?exp_lo=759376843&full=1"]M759376843[/URL] factor: 3509297005626164059583
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