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

firejuggler 2011-02-18 03:27

yup, thats it.

moebius 2011-02-22 14:24

M332258411 has a factor: 1464470872805802020791

ckdo 2011-03-03 23:38

M13828261 has a factor: 1979553586274192263311048622055057969

121 bits [I]and [/I]prime. :groupwave:

k = 2^3*13*71*397*160751*262651*556559*1039067

drh 2011-03-04 12:31

P-1 found a factor in stage #1, B1=520000.
M47622961 has a factor: 2639736989705673388698161

KingKurly 2011-03-06 03:41

I just finished with the M199xxxx range doing P-1 at B1=1M and B2=30M, similar to the M198xxxx range that I finished back on 29 Jan 2011. Most of the exponents in the M199xxxx range previously had P-1 with B1=B2=40000, and I did them all to B1=1000000, B2=30000000 (or better, in the case of a few exponents that already had B1 in excess of 1M). I found 20 factors in 212 tests (9.43%). There are a few exponents left, but they are currently reserved for ECM. I may finish them as they become available, but maybe not.

Which factor is your favorite? :smile:

[CODE]M1990969 has factor 21468612954065926361 (64.21 bits)
k = 2^2 * 5 * 53 * 4373 * 1163119

M1991071 has factor 41781069856149606189511 (75.14 bits)
k = 3 * 5 * 317 * 864121 * 2553511

M1992163 has factor 10008305505011786857 (63.11 bits)
k = 2^2 * 3 * 13 * 31 * 191 * 2719481

M1992337 has factor 51860364369830753274943 (75.45 bits)
k = 3 * 197 * 1013 * 6637 * 3275473

M1992691 has factor 18517218485226652971089 (73.97 bits)
k = 2^3 * 937 * 2663 * 4643 * 50131

M1993241 has factor 16239595933553902369 (63.81 bits)
k = 2^4 * 3 * 6263 * 13550701

M1993273 has factor 84113520096458133849216865831 (96.08 bits)
k = 3 * 5 * 1613 * 659629 * 812381 * 1627361

M1993757 has factor 139824694151555048061497 (76.88 bits)
k = 2^2 * 7 * 683 * 719 * 991 * 2573359

M1994467 has factor 62059411799668453911271 (75.71 bits)
k = 3 * 5 * 53 * 1097 * 1429 * 12483743

M1994807 has factor 19454076622189709767217257 (84.0 bits)
k = 2^2 * 3 * 839 * 16763 * 42787 * 675263

M1994983 has factor 287498610448131948155183 (77.92 bits)
k = 106307 * 737897 * 918563

M1995359 has factor 101686875596243191 (56.49 bits)
k = 3^2 * 5 * 11 * 17 * 3028027

M1997081 has factor 5562098083081303206593 (72.23 bits)
k = 2^5 * 19 * 151 * 991 * 1297 * 11801

M1997713 has factor 27927524467375263141023 (74.56 bits)
k = 61 * 191 * 148793 * 4032029

M1997851 has factor 1379954107435517646041 (70.22 bits)
k = 2^2 * 5 * 113 * 26119 * 5850683

M1997867 has factor 49107154577818940231 (65.41 bits)
k = 5 * 41 * 59 * 607 * 1673993

M1998041 has factor 13500437157982658959601 (73.51 bits)
k = 2^3 * 5^2 * 7 * 390097 * 6186041

M1998517 has factor 360709495671732970409 (68.28 bits)
k = 2^2 * 313 * 125863 * 572687

M1998527 has factor 7227614908498903511 (62.64 bits)
k = 5 * 113 * 4621 * 692581

M1998923 has factor 1087683064916102445987641 (79.84 bits)
k = 2^2 * 5 * 17 * 4327 * 7247 * 25518329 [/CODE]

KingKurly 2011-03-06 04:35

[QUOTE=KingKurly;248154]I've started a P-1 of M332205149, it's using an 18M FFT and "up to 6144MB" of memory, B1 of 3365000, B2 of 95902500, and currently estimated to complete in early May or thereabouts.[/QUOTE]
Stage 1 completed without finding a factor. I know, I know, that makes this post "ineligible" for this thread, but I thought it'd be worth posting infrequent updates on this multi-month task. Stage 2 is underway and still looking like it'll finish up in early-to-mid-May, depending on if I 'borrow' that particular core for other small projects in the meantime.

Mr. P-1 2011-03-06 18:43

[QUOTE=ckdo;252157]M1813579 has a factor: 41211827709461353812210747409001

106 bits, and prime. Beats my previous record by 2 bits. P-1 stage 2.

k=2^2*5^3*607*24623*27211*80749*691949[/QUOTE]

Excellent! My record is also 104 bits, and I've been concentrating almost exclusively on P-1 since the client first got the ability to do them.

[QUOTE=ckdo;254250]M13828261 has a factor: 1979553586274192263311048622055057969

121 bits [I]and [/I]prime. :groupwave:

k = 2^3*13*71*397*160751*262651*556559*1039067[/QUOTE]

Awesome!!!

Mr. P-1 2011-03-06 18:48

M42826261 has a factor: 11593544131079300216691889231

At 94 bits, not as impressive as ckdo's monsters, but still respectable.

k = 3 * 5 * 227 * 277 * 8419 * 11779 * 1447139

drh 2011-03-07 14:19

P-1 found a factor in stage #1, B1=575000.
M49619929 has a factor: 84938753664186370783729

harlee 2011-03-08 03:06

Here are some of my recent finds, all found with P-1:

M5584067 has a factor: 800891785295082609001
M5589149 has a factor: 10074419060050260527
M5590213 has a factor: 3950942819707539731753
M5596741 has a factor: 55730843812006057217833
M5597843 has a factor: 22827128937784700033
M5599949 has a factor: 258534819557701655951
M5601451 has a factor: 15052787750656233601
M5602217 has a factor: 7293778574063222158903
M5605553 has a factor: 391062814431066914063
M5608531 has a factor: 40471900488879491091721
M5613799 has a factor: 55560966919275808751
M5615969 has a factor: 43012749211951709690003167
M5618317 has a factor: 354488707364948570993
M5632777 has a factor: 10650189411697199431
M5633753 has a factor: 949181696937613755401
M5636731 has a factor: 144062154212169046963457
M5643683 has a factor: 125634938675113661349487
M5645089 has a factor: 30436442977297885143991
M5646973 has a factor: 311757435302604738911
M5649913 has a factor: 2189254197685703948687
M5655607 has a factor: 7900280028512424950571905604407
M5662123 has a factor: 56502724568372209247
M5668673 has a factor: 38076872368472606833
M5690599 has a factor: 2533730186806972791996383
M5691509 has a factor: 13519968630463446601
M5692007 has a factor: 118171523776712557097
M5703239 has a factor: 46706724592094433359063
M5706329 has a factor: 4924834620537310086191
M5709689 has a factor: 9920713535153068662199
M5713049 has a factor: 18342043022552736457
M5713327 has a factor: 62716488028489961329
M5715049 has a factor: 40345236969444723521
M5718737 has a factor: 124236870013847717129
M5721013 has a factor: 85470331785849803062001
M5731861 has a factor: 76113866965236063281
M5731967 has a factor: 1101562145932726509121
M5732081 has a factor: 13970559255543689033737
M5743987 has a factor: 10430862564986690009
M5747477 has a factor: 564173686587813526058320817
M5747611 has a factor: 4062292188234523816537
M5748707 has a factor: 1961252555728566237751
M5761373 has a factor: 176479135536572362409
M5762231 has a factor: 10488485151306836878075633
M5773067 has a factor: 11145419593904998033
M5777887 has a factor: 33760786356863698456321
M5778449 has a factor: 2540265755533851108473
M5789191 has a factor: 110769824915827258759
M5793283 has a factor: 2738100190911569294257
M5794783 has a factor: 76016936551158119608832281
M5803453 has a factor: 251323814765561400279239
M5806987 has a factor: 4402073638920779640374687
M5808797 has a factor: 14922307976007311911
M5811811 has a factor: 10631250093252044671
M5812999 has a factor: 402648686467403223988447
M5815559 has a factor: 118350515263347299201
M5816303 has a factor: 10731093801131889443009
M5829743 has a factor: 24915215912196412897
M5845309 has a factor: 145003020380363373471433
M5845877 has a factor: 1363512147525568266710591
M5855887 has a factor: 89856910257975886409
M5863727 has a factor: 180650742686227443132511

KingKurly 2011-03-08 03:50

[QUOTE=harlee;254580]Here are some of my recent finds, all found with P-1:

M5655607 has a factor: 7900280028512424950571905604407
[/QUOTE]
Wow, large factor, 102+ bits and prime. What bounds are you using?

I wanted to test out my little Ruby script that prepares factors for presentation. Accordingly, these are your factors run through my script:

(I repeat, these are harlee's factors, not mine.)

[CODE]M5584067 has factor 800891785295082609001 (69.44 bits)
k = 2^2 * 3 * 5^3 * 49939 * 957331

M5589149 has factor 10074419060050260527 (63.12 bits)
k = 13 * 29 * 4243 * 563417

M5590213 has factor 3950942819707539731753 (71.74 bits)
k = 2^2 * 31^2 * 1163 * 1187 * 66593

M5596741 has factor 55730843812006057217833 (75.56 bits)
k = 2^2 * 3 * 37 * 53 * 269 * 10009 * 78583

M5597843 has factor 22827128937784700033 (64.3 bits)
k = 2^6 * 7 * 25237 * 180337

M5599949 has factor 258534819557701655951 (67.8 bits)
k = 5^2 * 43 * 83 * 5381 * 48079

M5601451 has factor 15052787750656233601 (63.7 bits)
k = 2^6 * 3 * 5^2 * 11 * 31 * 820901

M5602217 has factor 7293778574063222158903 (72.62 bits)
k = 3^4 * 37 * 223 * 2459 * 396107

M5605553 has factor 391062814431066914063 (68.4 bits)
k = 17 * 1283 * 5651 * 283007

M5608531 has factor 40471900488879491091721 (75.09 bits)
k = 2^2 * 3 * 5 * 13 * 571 * 33589 * 241183

M5613799 has factor 55560966919275808751 (65.59 bits)
k = 5^4 * 53 * 173 * 863537

M5615969 has factor 43012749211951709690003167 (85.15 bits)
k = 3 * 13 * 29 * 7573 * 41737 * 10712497

M5618317 has factor 354488707364948570993 (68.26 bits)
k = 2^3 * 17 * 179 * 26947 * 48091

M5632777 has factor 10650189411697199431 (63.2 bits)
k = 3 * 5 * 11 * 47 * 1447 * 84247

M5633753 has factor 949181696937613755401 (69.68 bits)
k = 2^2 * 5^2 * 17 * 107 * 8689 * 53299

M5636731 has factor 144062154212169046963457 (76.93 bits)
k = 2^7 * 3881 * 33037 * 778643

M5643683 has factor 125634938675113661349487 (76.73 bits)
k = 3 * 7 * 179 * 509 * 13099 * 444109

M5645089 has factor 30436442977297885143991 (74.68 bits)
k = 3 * 5 * 11 * 31 * 41 * 43 * 2297 * 130147

M5646973 has factor 311757435302604738911 (68.07 bits)
k = 5 * 263 * 45127 * 465167

M5649913 has factor 2189254197685703948687 (70.89 bits)
k = 73 * 463 * 11437 * 501197

M5655607 has factor 7900280028512424950571905604407 (102.63 bits)
k = 13 * 37 * 47 * 317 * 1061 * 3607 * 30181 * 843793

M5662123 has factor 56502724568372209247 (65.61 bits)
k = 7^2 * 29 * 71 * 79 * 626009

M5668673 has factor 38076872368472606833 (65.04 bits)
k = 2^3 * 3 * 349 * 4943 * 81119

M5690599 has factor 2533730186806972791996383 (81.06 bits)
k = 71 * 601 * 5449 * 18553 * 51607

M5691509 has factor 13519968630463446601 (63.55 bits)
k = 2^2 * 3 * 5^2 * 19 * 911 * 228731

M5692007 has factor 118171523776712557097 (66.67 bits)
k = 2^2 * 11 * 127 * 38557 * 48179

M5703239 has factor 46706724592094433359063 (75.3 bits)
k = 31 * 193 * 2879 * 3697 * 64301

M5706329 has factor 4924834620537310086191 (72.06 bits)
k = 5 * 11 * 107 * 163 * 467 * 963283

M5709689 has factor 9920713535153068662199 (73.07 bits)
k = 3^2 * 5237 * 46757 * 394211

M5713049 has factor 18342043022552736457 (63.99 bits)
k = 2^2 * 3^2 * 47 * 24473 * 38767

M5713327 has factor 62716488028489961329 (65.76 bits)
k = 2^3 * 3 * 13 * 523 * 1399 * 24043

M5715049 has factor 40345236969444723521 (65.12 bits)
k = 2^5 * 5 * 47 * 18797 * 24971

M5718737 has factor 124236870013847717129 (66.75 bits)
k = 2^2 * 151 * 487 * 593 * 62273

M5721013 has factor 85470331785849803062001 (76.17 bits)
k = 2^3 * 5^3 * 71 * 827 * 2089 * 60899

M5731861 has factor 76113866965236063281 (66.04 bits)
k = 2^3 * 5 * 19 * 35963 * 242923

M5731967 has factor 1101562145932726509121 (69.9 bits)
k = 2^5 * 3^2 * 5 * 73 * 2593 * 352523

M5732081 has factor 13970559255543689033737 (73.56 bits)
k = 2^2 * 3^2 * 127 * 251 * 10259 * 103511

M5743987 has factor 10430862564986690009 (63.17 bits)
k = 2^2 * 7 * 13^2 * 331 * 579701

M5747477 has factor 564173686587813526058320817 (88.86 bits)
k = 2^3 * 11 * 2551 * 2579 * 49331 * 1718467

M5747611 has factor 4062292188234523816537 (71.78 bits)
k = 2^2 * 3^2 * 13297 * 17443 * 42323

M5748707 has factor 1961252555728566237751 (70.73 bits)
k = 3^3 * 5^3 * 991 * 51001849

M5761373 has factor 176479135536572362409 (67.25 bits)
k = 2^2 * 7127 * 22679 * 23689

M5762231 has factor 10488485151306836878075633 (83.11 bits)
k = 2^3 * 3^4 * 1487 * 2843 * 15013 * 22129

M5773067 has factor 11145419593904998033 (63.27 bits)
k = 2^3 * 3 * 17 * 7723 * 306347

M5777887 has factor 33760786356863698456321 (74.83 bits)
k = 2^7 * 3 * 5 * 31 * 101 * 647 * 751147

M5778449 has factor 2540265755533851108473 (71.1 bits)
k = 2^2 * 16267 * 32911 * 102643

M5789191 has factor 110769824915827258759 (66.58 bits)
k = 3 * 43 * 761 * 2467 * 39503

M5793283 has factor 2738100190911569294257 (71.21 bits)
k = 2^3 * 3^2 * 1709 * 12329 * 155773

M5794783 has factor 76016936551158119608832281 (85.97 bits)
k = 2^2 * 3 * 5 * 211 * 1319 * 1327 * 6221 * 47581

M5803453 has factor 251323814765561400279239 (77.73 bits)
k = 29^2 * 73 * 89 * 211 * 389 * 48281

M5806987 has factor 4402073638920779640374687 (81.86 bits)
k = 13 * 241 * 3911 * 48869 * 632987

M5808797 has factor 14922307976007311911 (63.69 bits)
k = 3^2 * 5 * 281 * 1693 * 59999

M5811811 has factor 10631250093252044671 (63.2 bits)
k = 3 * 5 * 157 * 2953 * 131519

M5812999 has factor 402648686467403223988447 (78.41 bits)
k = 3 * 107 * 157 * 1163 * 7219 * 81853

M5815559 has factor 118350515263347299201 (66.68 bits)
k = 2^6 * 5^2 * 17^2 * 4691^2

M5816303 has factor 10731093801131889443009 (73.18 bits)
k = 2^5 * 61 * 67 * 257 * 617 * 44483

M5829743 has factor 24915215912196412897 (64.43 bits)
k = 2^4 * 3 * 23 * 1979 * 978071

M5845309 has factor 145003020380363373471433 (76.94 bits)
k = 2^2 * 3^5 * 7 * 101^2 * 313 * 570937

M5845877 has factor 1363512147525568266710591 (80.17 bits)
k = 5 * 293 * 419 * 619 * 8443 * 36353

M5855887 has factor 89856910257975886409 (66.28 bits)
k = 2^2 * 43^2 * 4021 * 257987

M5863727 has factor 180650742686227443132511 (77.25 bits)
k = 3 * 5 * 7 * 13297 * 58193 * 189593
[/CODE]


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