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

Jwb52z 2013-08-21 13:39

P-1 found a factor in stage #1, B1=725000.
UID: Jwb52z/Clay, M67058449 has a factor: 12003053851265177348924609

83.312 bits.

P-1 found a factor in stage #1, B1=550000.
UID: Jwb52z/Clay, M62826059 has a factor: 6971119617292915006902751

82.528 bits.

Jayder 2013-08-22 17:03

Not sure if this thread is for this type of work, but I am happy about my 20th factor in this range. If it's not welcome say so and I'll refrain from posting further.

Two months, 2367 exponents, 20 factors.

[CODE]Type exponent factor date Factor Bits
TF M3,961,813 12556174496306564471 23 Jun 2013 63.4450
TF M3,962,759 9261589965653852479 24 Jun 2013 63.0060
TF M3,964,801 9664758239092017583 25 Jun 2013 63.0674
TF M3,977,867 9333734548426688497 4 Jul 2013 63.0172
TF M3,984,611 9727264321022045023 9 Jul 2013 63.0767
TF M3,987,943 15865097197661369353 11 Jul 2013 63.7825
TF M3,993,229 15697820045761779689 15 Jul 2013 63.7672
TF M3,996,281 16232132088556504873 16 Jul 2013 63.8155
TF M4,002,727 15869623269597059671 19 Jul 2013 63.7829
TF M4,010,143 11458024374840134951 24 Jul 2013 63.3130
TF M4,014,767 13876869518095649927 27 Jul 2013 63.5893
TF M4,019,083 13905515972585089847 30 Jul 2013 63.5923
TF M4,023,749 13310358497560331287 3 Aug 2013 63.5292
TF M4,036,391 11119405417589098039 9 Aug 2013 63.2697
TF M4,048,481 17741041830373275551 15 Aug 2013 63.9437
TF M4,051,057 16801786620416341871 16 Aug 2013 63.8652
TF M4,060,663 15346636721256778151 20 Aug 2013 63.7346
TF M4,065,203 18383033151647681551 21 Aug 2013 63.9950
TF M4,066,597 16230472112019316703 21 Aug 2013 63.8153
TF M4,067,831 11349032901921126673 22 Aug 2013 63.2992[/CODE]

c10ck3r 2013-08-22 20:20

[QUOTE=Jayder;350527]Not sure if this thread is for this type of work, but I am happy about my 20th factor in this range. If it's not welcome say so and I'll refrain from posting further.

Two months, 2367 exponents, 20 factors.

[CODE]Type exponent factor date Factor Bits
TF M3,961,813 12556174496306564471 23 Jun 2013 63.4450
TF M3,962,759 9261589965653852479 24 Jun 2013 63.0060
TF M3,964,801 9664758239092017583 25 Jun 2013 63.0674
TF M3,977,867 9333734548426688497 4 Jul 2013 63.0172
TF M3,984,611 9727264321022045023 9 Jul 2013 63.0767
TF M3,987,943 15865097197661369353 11 Jul 2013 63.7825
TF M3,993,229 15697820045761779689 15 Jul 2013 63.7672
TF M3,996,281 16232132088556504873 16 Jul 2013 63.8155
TF M4,002,727 15869623269597059671 19 Jul 2013 63.7829
TF M4,010,143 11458024374840134951 24 Jul 2013 63.3130
TF M4,014,767 13876869518095649927 27 Jul 2013 63.5893
TF M4,019,083 13905515972585089847 30 Jul 2013 63.5923
TF M4,023,749 13310358497560331287 3 Aug 2013 63.5292
TF M4,036,391 11119405417589098039 9 Aug 2013 63.2697
TF M4,048,481 17741041830373275551 15 Aug 2013 63.9437
TF M4,051,057 16801786620416341871 16 Aug 2013 63.8652
TF M4,060,663 15346636721256778151 20 Aug 2013 63.7346
TF M4,065,203 18383033151647681551 21 Aug 2013 63.9950
TF M4,066,597 16230472112019316703 21 Aug 2013 63.8153
TF M4,067,831 11349032901921126673 22 Aug 2013 63.2992[/CODE][/QUOTE]
It's definitely welcome here, and so is your effort on these (or any) exponents! The more factors the better, and these are "premium" assignments (can't run mfaktc 0.20 on them, making them pure CPU)

LaurV 2013-08-23 03:20

Full of envy :razz:, and channeling my inner RDS: if that was CPU work, then it is a big CPU resources waste... Except if they were done on very (but I mean VERY) old hardware that can't do LL nor DC and neither it has enough RAM to do P-1. Which I don't believe, given the (very) short time it took, two months for 2k assignments, at such low exponent, "mid to top" range CPU was used. Or more small machines, but with just a cheap stick of RAM (novadays) you can use that old hardware more efficient (doing P-1 or factoring aliquots).

From the time spent, you may have a mid-top-range GPU and you used normal mfaktc/o, in which case I congratulate you! (@clocker: please be advised that those are exponents over 1 million, therefore in the range of normal mfaktX programs).

OTOH, if you like to do quite low-expo assignments, you can ask Oliver for the "bcp" version, which can TF expos from 2k to 1M (most of them at 61-62 bits right now). Actually, that would also be a a waste, due to the huge amount of ECM done to such exponents, theoretically they won't have any factors below 150 bits or so (50 decimal digits).

c10ck3r 2013-08-23 03:41

[QUOTE=LaurV;350591]
From the time spent, you may have a mid-range GPU and you used normal mfaktc/o, in which case I congratulate you! ([B]@clocker: please be advised that those are exponents over 1 million, therefore in the range of normal mfaktX programs). [/B]

OTOH, if you like to do quite low-expo assignments, you can ask Oliver for the "bcp" version, which can TF expos from 2k to 1M (most of them at 61-62 bits right now). Actually, that would also be a a waste, due to the huge amount of ECM done to such exponents, theoretically they won't have any factors below 150 bits or so (50 decimal digits).[/QUOTE]
Sorry, I should have been more clear. They can't harness the major boost of GPU sieving is what I should have said. 24 GHD/Day on these vs. 146 GHD/Day for more aptly suited assignments on my 460.

Jayder 2013-08-23 03:57

Thanks c10ck3r. :smile:

I wish I had that kind of CPU power! You're right, I use mfakto on my pretty-poor GPU. I would contribute to GPU72, but it takes longer to work on those higher assignments than I like. I know that working on these cleared exponents isn't the best use of computing power, but I have enjoyed working on this range very much.

Another two factors found! That's 6 factors in about three days.

EDIT: GPU sieving does seem possible with mfakto on these assignments, but it is far poorer than CPU sieving. I get about 18 GHzD with GPU sieving versus 32 with CPU.

Prime95 2013-08-23 04:13

[QUOTE=Jayder;350598]but I have enjoyed working on this range very much.[/QUOTE]

then it is the best use of your computing power!

kracker 2013-08-23 20:28

[QUOTE=c10ck3r;350594]Sorry, I should have been more clear. They can't harness the major boost of GPU sieving is what I should have said. 24 GHD/Day on these vs. 146 GHD/Day for more aptly suited assignments on my 460.[/QUOTE]

I guess mfakto is more suited for low exponents. 4,067,831 63 to 64 160 GHz days, LL range 185 GHz days on my low end 7770.

Jwb52z 2013-08-24 15:21

P-1 found a factor in stage #2, B1=725000, B2=16131250.
UID: Jwb52z/Clay, M67065541 has a factor: 76349158343590058965217

76.015 bits.

Jwb52z 2013-08-25 17:52

P-1 found a factor in stage #2, B1=725000, B2=16131250.
UID: Jwb52z/Clay, M67072151 has a factor: 3940555598745788747327

71.739 bits.

cheesehead 2013-08-28 09:42

[QUOTE=Prime95;350602][QUOTE=Jayder;350598]but I have enjoyed working on this range very much.[/QUOTE]

then it is the best use of your computing power![/QUOTE]I thoroughly agree!

[QUOTE=Jayder;350598]I know that working on these cleared exponents isn't the best use of computing power,[/QUOTE][I]On the contrary[/I]; as long as what you do is contributory, not needlessly duplicative or poaching, and is something you enjoy, it is [U]exactly[/U] the best use of your computing power. Don't let anyone else convince you otherwise.

If you [U]want[/U] to do what is "best for GIMPS" according to some particular measure of efficiency or usefulness, [I]that's fine -- but only if that's what you actually enjoy[/I].

Also, you might enjoy doing tasks that are most efficiently done [I]by the computing equipment at your disposal[/I], regardless of how "efficient" or "useful" that same work type might be considered to be when done on anyone else's system.

Here's where you can look up your CPU's relative throughput efficiencies at various ranges of FFT (LL, P-1, ECM) and TF work: [URL]http://www.mersenne.ca/throughput.php#[/URL]
(NOTE 1: [U]The CPU type selector may be at the BOTTOM OF THE PAGE on your monitor[/U] when you first arrive there, then after CPU selection and "GO" the report is appended after it.)
(NOTE 2: Though GPUs may do TF much faster than CPUs, that's only when you actually have a GPU that can do that.)

Jwb52z 2013-08-29 17:47

P-1 found a factor in stage #2, B1=725000, B2=16131250.
UID: Jwb52z/Clay, M67097413 has a factor: 1022076366171746780862193

79.758 bits.

Jayder 2013-09-03 03:40

Thank you cheesehead. Actually, I already make great use of that amazing site! Unfortunately, it seems that figuring out what exponent range and bit level my GPU is best suited for working on is a bit more difficult. I suppose the only current way to do that is through a lot of manual testing and retesting.

I've found another 11 factors since my last posting! I would post them here, but it seems the website is having problems at the moment, and I don't want to fill up this thread with small factors. If through ECM I land a big enough one to rival Jwb52z, I'll be sure to post it.

Jwb52z 2013-09-03 05:04

P-1 found a factor in stage #2, B1=725000, B2=16131250.
UID: Jwb52z/Clay, M67119197 has a factor: 36574009162770696221177

74.953 bits.

Jwb52z 2013-09-03 20:51

P-1 found a factor in stage #2, B1=570000, B2=10260000.
UID: Jwb52z/Clay, M64101173 has a factor: 50021421769047734872506504961

95.337 bits.

Uncwilly 2013-09-05 06:19

[QUOTE=Uncwilly;349730]I ran it from 61 to 64 one day in 2009, came back months later, ran it to 66, a month after that ran it to 67, months after that, took it to 70.[/QUOTE]Had another one hit that I touched 4 times before.

[QUOTE=Uncwilly;345608]Just improved my personal record:

BTW, for James H:
For some reason my previous best does not show up in my list of personal best factors on Mersenne.ca[/QUOTE]
I just improved my personal best again:
64,069,129 has a factor of 156110319012514871033075941441
98.397 bits
[B][I][FONT="Microsoft Sans Serif"]k[/FONT][/I][/B] = 3257202853157932887219 = 3[SUP]3[/SUP] × 11 × 337 × 49639 × 336983 × 1945483

blahpy 2013-09-05 09:59

[QUOTE=Uncwilly;345608]
For some reason my previous best does not show up in my list of personal best factors on Mersenne.ca[/QUOTE]

Well, it looks like mine actually was deleted recently (it was there before), but, oh well...

Jwb52z 2013-09-16 19:29

P-1 found a factor in stage #1, B1=590000.
UID: Jwb52z/Clay, M66374743 has a factor: 262320172927674411560286817

87.762 bits.

Jwb52z 2013-09-16 22:58

P-1 found a factor in stage #1, B1=590000.
UID: Jwb52z/Clay, M66375391 has a factor: 610036722548751138828559

79.013 bits.

Jwb52z 2013-09-26 21:06

P-1 found a factor in stage #2, B1=580000, B2=10295000.
UID: Jwb52z/Clay, M65414627 has a factor: 245879667133332920514137

77.702 bits.

Jwb52z 2013-09-30 13:43

P-1 found a factor in stage #2, B1=580000, B2=10295000.
UID: Jwb52z/Clay, M65065883 has a factor: 2746772891636685701006927

81.184 bits.

Jwb52z 2013-09-30 20:35

P-1 found a factor in stage #2, B1=600000, B2=10950000.
UID: Jwb52z/Clay, M67271509 has a factor: 100659762125508970490227337

86.380 bits.

YuL 2013-10-03 08:25

M4697197 has a factor
 
Thu Oct 03 09:12:58 2013
ECM found a factor in curve #3, stage #2
Sigma=3799352864043498, B1=50000, B2=5000000.
[URL="http://www.mersenne.ca/exponent.php?exponentdetails=4697197"]M4697197[/URL] has a factor: 299620359709013487452252112583

97.920 bits

Jwb52z 2013-10-03 14:12

P-1 found a factor in stage #1, B1=590000.
UID: Jwb52z/Clay, M66863711 has a factor: 187721623148251128275569

77.313 bits.

Jwb52z 2013-10-20 15:04

P-1 found a factor in stage #2, B1=740000, B2=16465000.
UID: Jwb52z/Clay, M68732597 has a factor: 38581272099521396937933401

84.996 bits.

blahpy 2013-10-21 00:48

P-1 found a factor in stage #1, B1=630000.
UID: blahpy/blahpy, M68996777 has a factor: 186867108980161457179491409

87.272 "bits".

First P-1 factor :)

flashjh 2013-10-21 01:47

Congrats

c10ck3r 2013-10-22 16:01

Large factor :)
 
M205019 has a factor: 10552707023740922795963107877273
k=2[SUP]2[/SUP] * 19[SUP]2[/SUP] * 4,865,467* 8,401,457 x 436,006,979
103.06 bits :)
Found with B1=5e7, B2=1e9

firejuggler 2013-10-22 17:30

first factor of the expo?

c10ck3r 2013-10-22 17:35

[QUOTE=firejuggler;357109]first factor of the expo?[/QUOTE]
Yup.

firejuggler 2013-10-22 17:44

gratz

Jwb52z 2013-10-26 04:03

P-1 found a factor in stage #2, B1=575000, B2=10206250.
UID: Jwb52z/Clay, M64579639 has a factor: 49865416905886948134257

75.401 bits.

Jwb52z 2013-11-03 19:25

P-1 found a factor in stage #2, B1=615000, B2=11070000.
UID: Jwb52z/Clay, M68297821 has a factor: 1060840401789825146321719

79.812 bits.

Jwb52z 2013-11-06 14:50

P-1 found a factor in stage #2, B1=610000, B2=11132500.
UID: Jwb52z/Clay, M68161153 has a factor: 46169859819972160433177

75.289 bits.

bloodIce 2013-11-11 23:10

M2001511 has a factor
 
M2001511 has a factor: 19885661711344389415428507505282354958833
k = 2[SUP]3[/SUP] × 3[SUP]3[/SUP] × 47 × 83 × 199 × 307 × 8713 × 11087 × 874543 × 1142267939
found by P-1: B1=100000000, B2=5000000000
Not that impressive, but it is my personal record at 133.869 bits ([URL="http://www.mersenne.ca/exponent.php?exponentdetails=2001511"]http://www.mersenne.ca/exponent.php?exponentdetails=2001511).[/URL]

kracker 2013-11-11 23:38

factor for M64,357,877, 41787001570247168322240193950071

105 bits.:smile:

LaurV 2013-11-15 11:20

Nice, both of you. My personal record is 103.xx bits.

And to be on topic: nice and smooth 96 bits factor which I just found: 51545038478252187196134995119.

kracker 2013-11-15 16:09

[QUOTE=LaurV;359361]Nice, both of you. My personal record is 103.xx bits.

And to be on topic: nice and smooth 96 bits factor which I just found: 51545038478252187196134995119.[/QUOTE]

:razz: [URL="https://www.gpu72.com/reports/largest_factors/"]^[/URL] :razz: 13

LaurV 2013-11-16 07:41

:w00t: I know you had a record of 127 bits, which honestly I have very little chance to beat it, many years from now, but I am coming to get you for lifetime credit... , get in the hundredth percentile on the leaderboard, and then I will go back to DC, and let some cores doing P-1 under 1M with very high limits. There is where the big factors come from. What do you know, I might get lucky! :razz:

LaurV 2013-11-16 14:09

Well, when it rains it pours...[SIZE=2]

101 bits: [/SIZE] [SIZE=2]1755130524326397706550920646273

(edit: also very smooth, b1=[B]4793[/B], b2=3963979)
[/SIZE]

kracker 2013-11-16 15:38

[QUOTE=LaurV;359477]:w00t: I know you had a record of 127 bits, which honestly I have very little chance to beat it, many years from now, but I am coming to get you for lifetime credit... , get in the hundredth percentile on the leaderboard, and then I will go back to DC, and let some cores doing P-1 under 1M with very high limits. There is where the big factors come from. What do you know, I might get lucky! :razz:[/QUOTE]

We'll see if I follow your plan like a puppy. :razz: But if you do pass me... just know that I have only a little over half my power running P-1 at the moment!

-Meow

Uncwilly 2013-11-17 05:17

Anon on machine toma4tti found a factor by P-1:
332245861 has a factor of 514701206225822215282489657
reported on Nov 16 2013 @ 10:46PM 64.0 GHz-days 88.7 bits

Uncwilly 2013-11-20 00:55

I had one machine find 2 factors in 2 days both P-1 stage 1.
64317947 has a factor of 52744473176262272623601 [B]75.5 bits[/B]
64320973 has a factor of 4171438018009522530410037151 [B]91.8 bits[/B] :shock:

Uncwilly 2013-11-25 05:37

I had 4 machines hit with P-1 factors in a single day and 2 more today. One of these is my personal best:
64,489,937 has a factor of 177801640586828840036267140893769
[B]107 bits[/B]:wacky:
[B][I][FONT="Comic Sans MS"]k[/FONT][/I][/B] = 2[SUP]2[/SUP] × 3[SUP]2[/SUP] × 7 × 53 × 257 × 269 × 283 × 1399 × 4799 × 785773

flashjh 2013-11-25 13:35

That a nice one for Stage 1.

It's odd because I can go a week or two with no P-1 factors and then I've had 4 in the last week also. One is a nice Brent-Suyama:

[URL="http://www.mersenne.ca/exponent/64455383"]M64455383[/URL]
B1: 910,000
B2: 20,930,000
k = 3 × 19 × 89 × 109 × 557 × 464825197

But, it's nothing compared to markr's Brent-Suyama find on 18 Nov 13:

575,00010,350,000
[URL="http://www.mersenne.ca/exponent/64369951"]M64369951[/URL]
B1: 575,000
B2: 10,350,000
k = 2 × 154429598075412

markr 2013-11-25 20:49

[QUOTE=flashjh;360255]But, it's nothing compared to markr's Brent-Suyama find on 18 Nov 13: [...][/QUOTE]
I wish! :grin:

(Nice find, Uncwilly!)

Uncwilly 2013-11-26 12:45

[QUOTE=Uncwilly;360206]I had 4 machines hit with P-1 factors in a single day and 2 more today. One of these is my personal best:
64,489,937 has a factor of 177801640586828840036267140893769
[B]107 bits[/B]:wacky:
[B][I][FONT="Comic Sans MS"]k[/FONT][/I][/B] = 2[SUP]2[/SUP] × 3[SUP]2[/SUP] × 7 × 53 × 257 × 269 × 283 × 1399 × 4799 × 785773[/QUOTE]
And a new personal best (by a machine that must have felt left out):
M65360233 has a factor: 1949231719648150309066075034743183481
[B][COLOR="Red"]120.6 bits [/COLOR][/B] A new personal best!!!!! :party:
[B][I][FONT="Comic Sans MS"]k[/FONT][/I][/B] = 14911450205877863907447170780 = 2[SUP]2[/SUP]×5×37×79×103×1607×5659×6337×16661×2579191

flashjh 2013-11-26 13:21

You are on a roll. What memory settings do you use on those systems?

TheJudger 2013-11-26 19:28

[QUOTE=Uncwilly;360335]And a new personal best (by a machine that must have felt left out):
M65360233 has a factor: 1949231719648150309066075034743183481
[B][COLOR="Red"]120.6 bits [/COLOR][/B] A new personal best!!!!! :party:
[B][I][FONT="Comic Sans MS"]k[/FONT][/I][/B] = 14911450205877863907447170780 = 2[SUP]2[/SUP]×5×37×79×103×1607×5659×6337×16661×2579191[/QUOTE]

go, go, go! Factors > 2[SUP]120[/SUP] at the current P-1 wavefront aren't every day founds. Seems that you got all [I]my[/I] factors, I had a bad series of nearly 300 P-1 assignments without any factor last week!

A factor is a factor is a factor, for GIMPS purpose it doesn't matter what kind of factor it is (small, big, smooth, ...) but humans might have other feelings.
My feelings about current wavefront P-1:[LIST][*]<2[SUP]100[/SUP]: yet another daily P-1 factor[*]2[SUP]100[/SUP] to 2[SUP]120[/SUP]: OK, somewhat bigger P-1 factor[*]>2[SUP]120[/SUP]: hurray, big P-1 factor[/LIST]There are some exceptions, ofcourse[LIST][*]very smooth stage #1 factors[*]Brent-Suyama with 10+ times above B2[*]composite factors (in other words: multiple prime factors at once)[/LIST]
Oliver

TheJudger 2013-11-26 21:31

[QUOTE=flashjh;360255]But, it's nothing compared to markr's Brent-Suyama find on 18 Nov 13:

575,00010,350,000
[URL="http://www.mersenne.ca/exponent/64369951"]M64369951[/URL]
B1: 575,000
B2: 10,350,000
k = 2 × 15442959807541[COLOR="Red"][B]2[/B][/COLOR][/QUOTE]

Even more sensational: we've found a [B]second even prime number[/B]! (SCNR)

Oliver

flashjh 2013-11-26 21:56

[QUOTE=TheJudger;360366]Even more sensational: we've found a [B]second even prime number[/B]! (SCNR)

Oliver[/QUOTE]
[URL="http://mersenneforum.org/showthread.php?p=359853#post359853"]:rolleyes:[/URL] (I definitely missed that)

[CODE]
k = 308859196150824 = 2[SUP]3[/SUP] × 3 × 11 × 17 × 63607 × 1081939
[/CODE]Now that changes everything.

Uncwilly 2013-11-27 00:26

[QUOTE=flashjh;360336]You are on a roll. What memory settings do you use on those systems?[/QUOTE]Most are around 1.5GB. All have MaxHighMemWorkers=1 with 2 cores set to do P-1. (5 machines, 10 cores total devoted to P-1.)

Jwb52z 2013-12-03 21:48

P-1 found a factor in stage #1, B1=615000.
UID: Jwb52z/Clay, M68988589 has a factor: 1942414686951074496166120411317991

110.581 bits.

This is the second largest factor I've ever found in all the years I've tried to help with the GIMPS project and for this range, it seems like a large factor to find that is not composite.

blahpy 2013-12-03 22:56

It is large! Nice find!

Jwb52z 2013-12-08 04:27

P-1 found a factor in stage #1, B1=750000.
UID: Jwb52z/Clay, M69263003 has a factor: 32482532468448662230681

74.782 bits.

lycorn 2013-12-09 12:21

This one was begging to be found by TF, but...

[I]ECM found a factor in curve #3, stage #2
Sigma=5161819488172506, B1=50000, B2=5000000.
UID: lycorn/asteroid, M721291 has a factor: 2993117629186363967
[/I]
61.376 bits.

There are still some low hanging fruits in the < 1M range.

Jwb52z 2013-12-14 03:26

P-1 found a factor in stage #2, B1=615000, B2=11070000.
UID: Jwb52z/Clay, M68952557 has a factor: 10830722799622637276915875201

93.129 bits.

LaurV 2013-12-16 06:12

Hey Kracker, that computer of yours is a lucky son of the gun! Aren't you thinking to sell it? :razz:

[CODE]gp> a=7912085265544058288516871389169907393;
gp > #binary(a)
%1 = [COLOR=Red][B]123[/B][/COLOR]
gp > factorint(a-1)
%2 =
[2 6]
[3 1]
[31 1]
[47 1]
[1657 1]
[6221 1]
[116791 1]
[301237 1]
[1206169 1]
[64657903 1]
gp >
[/CODE](I didn't want to pollute the other thread - and upset Batalov even more :P - as the discussion there already changed to a more thematic and theoretic path)

kracker 2013-12-17 03:31

:ouch2:

cheesehead 2013-12-18 09:18

Speaking of the <1M range:

Eleven ECM curves at B1=50000,B2=5000000 found three factors of M298691:
110218037145723511, 586220733693722359 and 137619491689490903327
(to go with the smaller three factors previously known).

markr 2013-12-19 11:09

Nice, cheesehead!

Batalov 2013-12-20 17:43

Se7en
 
Found a factor of 7 ;-)
145309103373453*2^3990-5 is composite: RES64: [[B]00000000000002D9[/B]] (0.0132s+0.0000s)

Now, you'll say who runs pfgw with -f0 and then shares this silliness? (2D9[SUB]hex[/SUB] = 3[SUP]7-1[/SUP])

Well, it is a part of a silly almost-quintuplet:
[URL="http://factordb.com/index.php?query=145309103373453*2%5E3990-5"]145309103373453*2^3990-5[/URL] is 7*p1215
[URL="http://factordb.com/index.php?query=145309103373453*2%5E3990-1"]145309103373453*2^3990-1[/URL] is prime
[URL="http://factordb.com/index.php?query=145309103373453*2%5E3990%2B1"]145309103373453*2^3990+1[/URL] is prime
[URL="http://factordb.com/index.php?query=145309103373453*2%5E3990%2B5"]145309103373453*2^3990+5[/URL] is prime
[URL="http://factordb.com/index.php?query=145309103373453*2%5E3990%2B7"]145309103373453*2^3990+7[/URL] is prime

Uncwilly 2013-12-27 02:53

[QUOTE=Uncwilly;360335][B][COLOR="Red"]120.6 bits [/COLOR][/B] A new personal best!!!!![/QUOTE]
Found a 117 bit on the 23rd.
[QUOTE=Uncwilly;359830]I had one machine find 2 factors in 2 days both P-1 stage 1.
64320973 has a factor of 4171438018009522530410037151 [B]91.8 bits[/B] :shock:[/QUOTE]
And a new personal best for stage 1:
M64680983 has a factor: 14363804976454221186936300663583
103.5 bits, [B][I][FONT="Comic Sans MS"]k[/FONT][/I][/B] = 111035765925621609576777 = 3[SUP]2[/SUP] × 7 × 13 × 739 × 2579 × 6323 × 52057 × 216113
:uncwilly:

Jwb52z 2014-01-09 16:42

P-1 found a factor in stage #1, B1=705000.
UID: Jwb52z/Clay, M69221417 has a factor: 227258439341805150214805809

87.555 bits.

Jwb52z 2014-01-17 14:44

P-1 found a factor in stage #2, B1=705000, B2=14628750.
UID: Jwb52z/Clay, M69160561 has a factor: 6801529600136142988183258993

92.458 bits.

Jwb52z 2014-01-18 16:40

P-1 found a factor in stage #2, B1=705000, B2=14628750.
UID: Jwb52z/Clay, M69408289 has a factor: 118214961583770382650313

76.646 bits

TheJudger 2014-01-19 16:28

Good start in factoring season 2014:

P-1 found a factor in stage #1, B1=670000.
M65508869 has a factor: 175927641847360083407185992694635239625947165412379183 (176.88 bits)

I'm not 100% sure but I think this is my biggest "regular P-1 double factor" so far.

f[SUB]1[/SUB] = 12348810633422410377735721 (83.35 bits)
k[SUB]1[/SUB] = 94252967742599940 = 2^2 * 3 * 5 * 193 * 3407 * 21839 * 109391

f[SUB]2[/SUB] = 14246525197431311465890025623 (93.52 bits)
k[SUB]2[/SUB] = 108737377204843144719 = 3^3 * 13 * 17 * 19 * 23 * 8597 * 33317 * 145589

Oliver

P.S. I'll throw this factor back into the sea using it as bait for [I]the big one[/I].

YuL 2014-01-22 10:39

M67983497 has factor
 
[Tue Jan 21 07:56:58 2014]
P-1 found a factor in stage #1, B1=615000.
[URL="http://www.mersenne.ca/exponent.php?exponentdetails=67983497"]M67983497[/URL] has a factor: 1753010986832384134537496993
90.5 bits
k = 2^4 × 883 × 38839 × 43889 × 535361

flashjh 2014-01-30 13:46

Got a personal best:

[URL="http://www.mersenne.ca/exponent/65349397"]65349397[/URL]

factor = 147198755735760872609938849583897167
k = 1126244177400450019530699339
3 × 7 × 43 × 953 × 14389 × 14951 × 539993 × 11265823
bits: 116.825

cheesehead 2014-02-06 11:03

Again in the <1M range:

Seven ECM curves at B1=50000,B2=5000000 found three factors of M670583:
5688983930597081, 27133635573130199 and 1286644266245972687
to go with the smaller three factors previously known.

Miszka 2014-02-10 01:50

My personal best
M31051 has a factor: 24523881623890845010007531389564120430998338703 (154,1 bits)
ECM found a factor in curve #24, stage #2
Sigma=3677350809829694, B1=3000000, B2=300000000

prgamma10 2014-02-10 02:19

[QUOTE=Miszka;366548]My personal best
M31051 has a factor: 24523881623890845010007531389564120430998338703 (154,1 bits)
ECM found a factor in curve #24, stage #2
Sigma=3677350809829694, B1=3000000, B2=300000000[/QUOTE]
Tasty factor, considering the ECM bounds used.

blahpy 2014-02-10 03:18

[QUOTE=Miszka;366548]My personal best
M31051 has a factor: 24523881623890845010007531389564120430998338703 (154,1 bits)
ECM found a factor in curve #24, stage #2
Sigma=3677350809829694, B1=3000000, B2=300000000[/QUOTE]

Very nice!

lycorn 2014-02-12 00:36

[QUOTE=Miszka;366548]
M[B]31051[/B] has a factor: 24523881623890845010007531389564120430998338703 [/QUOTE]

Very nice one. It´s not every day that one finds factors for numbers this small...

TheJudger 2014-03-09 11:03

Hello,

IIRC this is my second biggest "regular P-1 factor":
P-1 found a factor in stage #2, B1=620000, B2=12710000, E=12.
M67894507 has a factor: 118932379415737719145680729417648731019161 (136.44 Bits)
k = 875861573129455959859026072739940 = 2 * 2 * 5 * 19 * 2897 * 15667 * 214589 * 283697 * 370423 * 2251943

and this might be my biggest "regular P-1 double factor" so far:
P-1 found a factor in stage #1, B1=635000.
M66012833 has a factor: 25442648702559071526003179150718822132839669303705434471 (184.05 Bits)

f[SUB]1[/SUB] = 93709867836738562740151 (76.31 Bits)
k[SUB]1[/SUB] = 3 * 5 * 5 * 8641 * 11071 * 98927

f[SUB]2[/SUB] = 271504477488809212102512933946321 (107.74 Bits)
k[SUB]2[/SUB] = 2 * 2 * 2 * 3 * 5 * 43 * 137 * 5737 * 27823 * 54217 * 336143


Oliver

markr 2014-03-11 12:17

Those are massive - nice finds!

Batalov 2014-03-26 01:47

how 'bout some Eisenstein-Fermat numbers?
 
Mike Oakes described many years ago the [URL="https://groups.yahoo.com/neo/groups/primenumbers/conversations/topics/4607"]Eisenstein-Fermat numbers[/URL].

Mike Oakes reported that EF[SUB]n[/SUB] are prime for 0<=n<=3, and then we have composites up to n<=19 (DC'd).
Here are some more eliminations:
[CODE]1814704020258817 | 3^(2^20)-3^(2^19)+1
449939767297 | 3^(2^21)-3^(2^20)+1
EF[SUB]22[/SUB] LLR test is in progress (most likely known C)
EF[SUB]23[/SUB] LLR test is in progress (most likely known C)
841781914632193 | 3^(2^24)-3^(2^23)+1
10871635969 | 3^(2^25)-3^(2^24)+1
EF[SUB]26[/SUB] ??
3819992499879937 | 3^(2^27)-3^(2^26)+1
EF[SUB]28[/SUB] ??
156071646883479553 | 3^(2^29)-3^(2^28)+1
...
5566277615617 | 3^(2^32)-3^(2^31)+1
131985100920324097 | 3^(2^34)-3^(2^33)+1
39582418599937 | 3^(2^38)-3^(2^37)+1[/CODE]
(you can easily see that factors are of restricted form. Not too hard to find.)

Sergiosi 2014-04-01 20:56

From one of my aliquot sequences:

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1045294942
Step 1 took 5593ms
Step 2 took 2784ms
********** Factor found in step 2: 7709785821798716085231895649922705932140748936402071
Found probable prime factor of 52 digits: 7709785821798716085231895649922705932140748936402071
Probable prime cofactor (679244561234214691156167254744998224687295035638998699333453501573680827350025562911300646832911553455921867383084123581660457/55577579143)/7709785821798716085231895649922705932140748936402071 has 64 digits

ET_ 2014-04-02 09:45

[QUOTE=Sergiosi;370119]From one of my aliquot sequences:

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1045294942
Step 1 took 5593ms
Step 2 took 2784ms
********** Factor found in step 2: 7709785821798716085231895649922705932140748936402071
Found probable prime factor of 52 digits: 7709785821798716085231895649922705932140748936402071
Probable prime cofactor (679244561234214691156167254744998224687295035638998699333453501573680827350025562911300646832911553455921867383084123581660457/55577579143)/7709785821798716085231895649922705932140748936402071 has 64 digits[/QUOTE]

The cofactor is a certified prime.

Luigi

alpertron 2014-04-16 19:25

At this moment I'm running p-1 algorithm with B1=10M, B2=500M in the range 900000-1000000.

My computer found a new personal record:

P-1 found a factor in stage #2, B1=10000000, B2=500000000, E=12.
M985979 has a factor: 208259944761322336790033394725144178055361063

More details about this Mersenne number at: [url]http://www.mersenne.ca/exponent/985979[/url]

lycorn 2014-05-22 00:41

A somehow unexpected finding from my old snail:

UID: lycorn/snail, M947857 has a factor: 4558968051813269609

61.983 bits
K=2^2 × 601220444093 => P-1 had obviously missed it...

PageFault 2014-06-11 21:41

My first ECM find:

[code][Wed Jun 11 22:35:04 2014]
ECM found a factor in curve #6, stage #1
Sigma=1167748058492201, B1=50000, B2=5000000.
UID: PageFault/boxen_40, M9178789 has a factor: 64337196736770344347561[/code]

k = 2^2 × 3 × 5 × 17 × 61 × 373 × 151010767

May there be many more ...

lycorn 2014-06-13 18:15

Good, that´s a start!.
On another note, I reckon you´ve abandoned your quest for "monster factors". Is that so?

TheJudger 2014-06-29 16:33

Hi,

just an hour ago "I" found this gem: :smile:
P-1 found a factor in stage #2, B1=620000, B2=12710000, E=12.
M67825453 has a factor: 1722206812177416217749744344545878167459479 (140.30 bits)
k = 12695874011909778308076647453765463 = 3 * 17 * 29 * 79 * 1447 * 24481 * 31039 * 349529 * 378277 * 747427

Should be my second largest P-1 factor so far.

Oliver

chalsall 2014-06-29 18:04

[QUOTE=TheJudger;377000]Should be my second largest P-1 factor so far.[/QUOTE]

[URL="https://www.gpu72.com/reports/largest_factors/"]Yup![/URL] :smile:

P.S. Where do you get those wonderful toys? :wink:

TheJudger 2014-06-29 20:47

Hi Chris,

[QUOTE=chalsall;377002][URL="https://www.gpu72.com/reports/largest_factors/"]Yup![/URL] :smile:[/QUOTE]

I can't be sure because I did P-1 factoring before you started GPUto72. But I'm pretty sure that it IS actually my 2nd biggest P-1 factor. I had 13x bit factor(s) before GPUto72 but I can't remember any factors above 2[SUP]140[/SUP].


[QUOTE=chalsall;377002]P.S. Where do you get those wonderful toys? :wink:[/QUOTE]

I get them from [URL="https://www.gpu72.com/account/getassignments/llp-1/"]here[/URL]. :smile:
A small shop with good prices and nice sales persons. And when you buy several exponents at once they grant you at small extra discount.

Oliver

PageFault 2014-07-23 02:20

Bizarre factors
 
I got one today:

[CODE]ECM found a factor in curve #2, stage #2
Sigma=7053813379423454, B1=3000000, B2=300000000.
UID: ANONYMOUS, M27529 has a factor: 9662183525912193406922912529583 (ECM curve 2, B1=3000000, B2=300000000)[/CODE]

k = 3 * 31^2 * 433 * 6988773391 * 20115060971

This k is quite rough.

[QUOTE=lycorn;375726]Good, that´s a start!.
On another note, I reckon you´ve abandoned your quest for "monster factors". Is that so?[/QUOTE]

I have just begun this quest ...

lycorn 2014-07-23 10:45

Wow, that´s a really nice one!
But you´ve not reported it yet, did you? It doesn´t appear as Factored, on Primenet pages.

PageFault 2014-07-24 00:22

The reason is that the manual results page won't accept it. George has been advised. There will be more of these. It takes quite a few curves, somewhere in the order of 6 to 7 thousand, should I count them. No biggie, just takes time and in time I'll move this onto all cores. At 15 000 curves per week, I should find a bunch of these.

Crunch on folks, happy hunting!

lycorn 2014-07-25 15:46

[QUOTE=PageFault;378928]The reason is that the manual results page won't accept it. [/QUOTE]

I don´t see any reason why that should happen, apart from the periodic glitches experienced by Primenet. Try resubmitting the result, as you may happen to have tried during a Primenet outage. They´ve been rather frequent lately, unfortunately.

PageFault 2014-11-16 03:28

An interesting one came up today:

[CODE]ECM found a factor in curve #306, stage #2
Sigma=563592846122112, B1=11000000, B2=1100000000.
UID: ANONYMOUS, M25849 has a factor: 490089625697694370568455713655482757513[/CODE]

k = 2^2 * 3 * 179 * 271 * 208274569 * 78191933955159820247

k is just a bit rough.

5100 curves at a lower bound and 306 at the current bound and I came in just below the bound! I wonder how long until I work through to the next bound ...

TheJudger 2014-11-16 16:56

in contrast to your rough [I]k[/I]s I've some smoothies here:
[CODE]M70458881 has a factor: 178367954294318192443201
77.23 Bits; k = 1265759204253600 = 2 * 2 * 2 * 2 * 2 * 3 * 5 * 5 * 7 * 113 * 227 * 383 * 7669
M76021597 has a factor: 21929119114257579600162546577
94.14 Bits; k = 144229534629860377704 = 2 * 2 * 2 * 3 * 103 * 971 * 1973 * 2161 * 3257 * 4327[/CODE]

Oliver

PageFault 2014-11-18 03:40

Those are very smooth, nice finds. I assume they are P-1, Stage 1 factors? I have one from a few years back, somewhere in a backup.

I'm seeing my ECM finds to be all rough, although my data is lacking.

Crunch on, happy hunting!

LaurV 2014-11-18 04:41

[URL="http://www.mersenne.org/report_exponent/?exp_lo=9578651&full=1"]Yaaarrrrr[/URL]! :chappy:
After months of dry ECM spell...

[edit: actually, I would be better with some TF here, hehe, the factor is only 66 bits!]

lorgix 2014-11-18 13:03

[QUOTE=PageFault;387950]Those are very smooth, nice finds. I assume they are P-1, Stage 1 factors? I have one from a few years back, somewhere in a backup.

I'm seeing my ECM finds to be all rough, although my data is lacking.

Crunch on, happy hunting![/QUOTE]
The smooth ones have already been found with P-1.

TheJudger 2014-11-18 18:07

yep, they are found with P-1.

lycorn 2014-11-20 11:16

[QUOTE=LaurV;387954][URL="http://www.mersenne.org/report_exponent/?exp_lo=9578651&full=1"]Yaaarrrrr[/URL]! :chappy:
After months of dry ECM spell...

[edit: actually, I would be better with some TF here, hehe, the factor is only 66 bits!][/QUOTE]

You´d probably be better off running ECM on exponents much lower than 9M, as they are much more suitable for ECM (and much harder to TF).


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