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Old 2012-09-05, 04:46   #485
Batalov
 
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Mar 2008
Phi(4,2^7658614+1)/2

2·47·101 Posts
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M37110191 has a factor: 294149558232233761159
k = 3 * 3 * 440354567941

M37115557 has a factor: 173252784102344427847
k = 3 * 5717 * 136083289

M37135411 has a factor: 170486936725748528537
k = 2 * 2 * 7 * 19 * 107 * 40325287

M37190249 has a factor: 293686536648047220983
k = 61 * 761 * 85057079

M37196941 has a factor: 159120638272884956183
k = 79 * 113 * 239598313

M37207393 has a factor: 190989247799713916071
k = 3 * 3 * 5 * 7 * 283 * 28790731

M37228447 has a factor: 274846789617163667207
k = 43 * 53 * 1619725531

M37266781 has a factor: 152648507008070611249
k = 2 * 2 * 2 * 3 * 29 * 2942601449

M37282111 has a factor: 179757260588803659161
k = 2 * 2 * 5 * 7 * 7 * 2459970361

M37282409 has a factor: 201596484606639121529
k = 2 * 2 * 43 * 15718841893

M37288057 has a factor: 249066880611328042321
k = 2 * 2 * 2 * 3 * 5 * 2677 * 10396487

M37296907 has a factor: 151576037595152741047
k = 3 * 7 * 96762803309

M37297349 has a factor: 154114326197503099913
k = 2 * 2 * 11 * 46955057351

M37302173 has a factor: 154207784017575262943
k = 11 * 11 * 1327 * 12873181

M37308547 has a factor: 188689110412357606889
k = 2 * 2 * 19 * 16301 * 2041177

M37330919 has a factor: 168806761396504283303
k = 131 * 277 * 62307467

M37340321 has a factor: 172197493000220899487
k = 11 * 137 * 1530049669

M37351877 has a factor: 260515798856032925609
k = 2 * 2 * 13 * 83 * 807997847

M37355621 has a factor: 217692976155323079497
k = 2 * 2 * 18043 * 40372879

M37377559 has a factor: 173319011084994502463
k = 7 * 7 * 131 * 361191811

M37394327 has a factor: 170811158018652301919
k = 2283918066217

M37426201 has a factor: 214615358295786432527
k = 17 * 191 * 883024529

M37435553 has a factor: 233245516468596520439
k = 11 * 59 * 4800145027

M37437593 has a factor: 170812688351871490849
k = 2 * 2 * 2 * 2 * 3 * 3 * 7 * 7 * 11 * 31 * 948133

M37439249 has a factor: 200405865739220939953
k = 2 * 2 * 2 * 3 * 3 * 3 * 7 * 11 * 160919557

M37471697 has a factor: 198914057004031342321
k = 2 * 2 * 2 * 3 * 5 * 17 * 1301073857

M37530439 has a factor: 181659685207120035889
k = 2 * 2 * 2 * 3 * 7 * 37 * 47 * 8283923

M37565221 has a factor: 252641694816140165089
k = 2 * 2 * 2 * 2 * 3 * 7 * 67 * 149373997

M37578833 has a factor: 191473778996391019487
k = 2547628062271

M37581961 has a factor: 152701896365352887207
k = 2031584998523

M37582451 has a factor: 245080470347893281953
k = 2 * 2 * 2 * 2 * 647 * 314970113

M37589371 has a factor: 219346432441743564689
k = 2 * 2 * 2 * 364708205083

M37604233 has a factor: 147815934527338204873
k = 2 * 2 * 3 * 163784680091

M37646963 has a factor: 287662468773508202359
k = 3 * 3 * 29 * 14638034053

M37657127 has a factor: 214455821650720692409
k = 2 * 2 * 3 * 3 * 29 * 2727471133

M37664239 has a factor: 204495148777909322617
k = 2 * 2 * 3 * 226226028331

M37667831 has a factor: 155496558538467648847
k = 3 * 3 * 229338867337

M37672109 has a factor: 150033932348016771863
k = 2707 * 735616237

M37679377 has a factor: 293350410789741182321
k = 2 * 2 * 2 * 5 * 17 * 61 * 193 * 486247

M37680217 has a factor: 176567304123567240881
k = 2 * 2 * 2 * 5 * 58574272583

M37686923 has a factor: 251192584356992636473
k = 2 * 2 * 3 * 3 * 3 * 3 * 163 * 63103511

M37690841 has a factor: 183352922329075826993
k = 2 * 2 * 2 * 7 * 43434415901

M37691327 has a factor: 225865322069337805577
k = 2 * 2 * 17 * 23189 * 1900147

M37699469 has a factor: 272926860063845830079
k = 317 * 11418834743

M37700581 has a factor: 217599362222336740033
k = 2 * 2 * 2 * 2 * 2 * 3 * 18539 * 1621519

M37732111 has a factor: 260571272022990577217
k = 2 * 2 * 2 * 2 * 2 * 107903481079

M37735787 has a factor: 148890085117248595033
k = 2 * 2 * 3 * 3 * 11 * 4981810283

M37745479 has a factor: 164228898740813564447
k = 23 * 61 * 1550589979

M37751513 has a factor: 207561519032538481457
k = 2 * 2 * 2 * 1601 * 214635307

M37767419 has a factor: 293261183823321135329
k = 2 * 2 * 2 * 2 * 17 * 14273759573

M46390237 has a factor: 3069606172495819581439
k = 3 * 11 * 263 * 2953 * 1290901

M48284017 has a factor: 2924320479941686666327
k = 3 * 107 * 94337973659

M50017949 has a factor: 1793387613726572168783
k = 4673849 * 3835691

M50323211 has a factor: 3028031774184018963721
k = 2 * 2 * 3 * 5 * 501430604621

M50939129 has a factor: 1465594116696270496631
k = 5 * 41 * 41 * 1711569287

M52539379 has a factor: 788541626413006268359
k = 3 * 126227 * 19816921

M54963743 has a factor: 1166072160272005896401
k = 2 * 2 * 2 * 5 * 5 * 283 * 187414289

M551112533 has a factor: 274931939516806475887
k = 3 * 23 * 193 * 277 * 67619

M551112889 has a factor: 207396084038979045953
k = 2 * 2 * 2 * 2 * 2 * 7 * 37 * 22702843

M55568467 has a factor: 884078728329241273079
k = 593 * 13414603369

M55686251 has a factor: 3548054759971735062169
k = 2 * 2 * 3 * 7 * 17 * 22309206853

M561113011 has a factor: 1562349964740933874463
k = 11 * 41 * 3086892071

M57432913 has a factor: 848443051334532540583
k = 3 * 3 * 37 * 59 * 375954781

M58195679 has a factor: 594698417085922952399
k = 61 * 443 * 189078647

M58196351 has a factor: 766566095609102596537
k = 2 * 2 * 3 * 23 * 29 * 822842617

M58658189 has a factor: 1108235848839626043529
k = 2 * 2 * 3 * 59 * 101 * 132104897

M58759079 has a factor: 984303170917928779601
k = 2 * 2 * 2 * 5 * 5 * 41878769531

M59169203 has a factor: 4720951098368342551319
k = 11 * 17 * 79 * 5881 * 459181

M59252959 has a factor: 3273287506268737172249
k = 2 * 2 * 11 * 197 * 3186582827

M59259769 has a factor: 1339058703556210237481
k = 2 * 2 * 5 * 11 * 40039 * 1282637

M59259929 has a factor: 2528603410235915812049
k = 2 * 2 * 2 * 109 * 24466571273

M60163403 has a factor: 1998868895721565092833
k = 2 * 2 * 2 * 2 * 167 * 739 * 8412809

M60170053 has a factor: 2233205860275700045103
k = 149 * 25577 * 4869479

M60175813 has a factor: 2229557868416759226529
k = 2 * 2 * 2 * 2 * 3 * 7 * 7 * 13 * 17 * 47 * 193 * 3929

M60952777 has a factor: 3080204892479441206681
k = 2 * 2 * 3 * 5 * 421119026357

M61024813 has a factor: 872591350919155266199
k = 3 * 673 * 1511 * 2343547

M61241561 has a factor: 2118283078737228213119
k = 7 * 11 * 83 * 2706069409

M61261469 has a factor: 1809223104368726198249
k = 2 * 2 * 23 * 17747 * 9044029

M61263779 has a factor: 2305099265883779477527
k = 3 * 6270968217299

M61265003 has a factor: 1492869685479523699903
k = 3 * 47 * 181 * 229 * 359 * 5807

M61341053 has a factor: 1070753253196520426033
k = 2 * 2 * 2 * 149 * 457 * 457 * 35059

M61344791 has a factor: 4118071585807126838393
k = 2 * 2 * 157 * 53447397277

M61347899 has a factor: 1572488778516252755761
k = 2 * 2 * 2 * 3 * 3 * 5 * 7 * 103 * 199 * 281 * 883

M61350931 has a factor: 1054787667879957230183
k = 197 * 43636274413

M61354099 has a factor: 2473332426925451452609
k = 2 * 2 * 2 * 2 * 2 * 3 * 13 * 13721 * 1177087

M61379477 has a factor: 2071668988309289051279
k = 17 * 992700554171

M61379609 has a factor: 1737731362637995990327
k = 3 * 3 * 3 * 17 * 4639 * 6648007

M61379719 has a factor: 1431343861124690876087
k = 17 * 47 * 14592923603

M61379743 has a factor: 1089392490518111686343
k = 223337 * 39734581

M61396679 has a factor: 750729848684767969583
k = 6113765930929

M61404677 has a factor: 1456822240637590126567
k = 3 * 3 * 7 * 2521 * 74689873

M61405907 has a factor: 1058203160948577555529
k = 2 * 2 * 3 * 31 * 23162528591

M61407581 has a factor: 2113545741165176018599
k = 3 * 3 * 1912128859831

M61410143 has a factor: 4202176236608935070033
k = 2 * 2 * 2 * 51133 * 83639783

M61415443 has a factor: 989541588418458465113
k = 2 * 2 * 2014032505673

M61418207 has a factor: 2429948643976004124199
k = 3 * 89 * 953 * 77743807

M61446289 has a factor: 2340214834986197101063
k = 3 * 3 * 13 * 83 * 199 * 9854011

M61458409 has a factor: 2133222936631679279369
k = 2 * 2 * 4338753173369

M61480297 has a factor: 723898782091992750823
k = 3 * 3 * 654138007907

M61492687 has a factor: 1288992446554227061393
k = 2 * 2 * 2 * 3 * 3 * 80149 * 1816211

M62020753 has a factor: 1303121863089001038719
k = 23 * 100913 * 4526297

M62020939 has a factor: 1826837897438471005007
k = 14727589801877

M62021737 has a factor: 1463317920049828600057
k = 2 * 2 * 3 * 13 * 67271 * 1124119

M62024407 has a factor: 2693892547749506737057
k = 2 * 2 * 2 * 2 * 3 * 2557 * 176935789

M62024777 has a factor: 4602033190909325507969
k = 2 * 2 * 2 * 2 * 2 * 2 * 17 * 29 * 1175784271

M62026033 has a factor: 1694368592301956022961
k = 2 * 2 * 2 * 3 * 5 * 1039 * 109548667

M62035453 has a factor: 1191932514096918817471
k = 3 * 5 * 13 * 13 * 41 * 92431477
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Old 2012-09-05, 14:12   #486
cheesehead
 
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"Richard B. Woods"
Aug 2002
Wisconsin USA

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Now, doesn't it feel good to have let all that vanity loose? Bottled-up vanity could have bad consequences.
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Old 2012-09-05, 15:15   #487
dabaichi
 
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Sep 2011

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P-1 found a factor in stage #1, B1=1000000.
UID: dabaichi/alpha_277, M7852241 has a factor: 262871325597814670948015440740747361897 (127.628 bits)
=12636032572020488377 * 20803311806894291761

12636032572020488377 (63.4542 bits)
k = 804613139868 = 2*2*3*1049*1229*52009

20803311806894291761 (64.1734 bits)
k = 1324673542680 = 2*2*2*3*5*37*4597*64901

This is my first composite factor, and also my second P-1 factor.
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Old 2012-09-05, 15:36   #488
TObject
 
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Feb 2012

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Quote:
Originally Posted by Batalov View Post
M35649727 has a factor: 149161279507562462423
k = 2092039575893

M36046823 has a factor: 150792452126522743919
k = 2091619171633

M36624967 has a factor: 266121486601426921559
k = 3633061111037

M37394327 has a factor: 170811158018652301919
k = 2283918066217

M37578833 has a factor: 191473778996391019487
k = 2547628062271

M37581961 has a factor: 152701896365352887207
k = 2031584998523

M61396679 has a factor: 750729848684767969583
k = 6113765930929

M62020939 has a factor: 1826837897438471005007
k = 14727589801877
Cool, there are a few prime ks there.
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Old 2012-09-05, 15:59   #489
firejuggler
 
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Apr 2010
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50568 Posts
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should I want to run a "stage 2" pm1 on dabaichi exponent, what is the correct syntax (with P95-as with gmp-ecm, i know...)?
Code:
ecm -pm1 -maxmem 1800 -v -v  2e6 5e6
GMP-ECM 6.4.2 [configured with MPIR 2.5.1] [P-1]
(2^7852241-1)/262871325597814670948015440740747361897

Last fiddled with by firejuggler on 2012-09-05 at 16:16
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Old 2012-09-05, 17:35   #490
c10ck3r
 
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Aug 2010
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Quote:
Originally Posted by Batalov View Post
Ah! An interesting reason. :-)

Who do you think found ~2,000,000 factors in the same range?
And who do you think couldn't give a flying hoot whether their name was attached to such factors or not? Factors don't have names, man. Maybe some primes have, but factors? A dime a million.
Where do I mail your $.20?

-- Donate to the forum of course! I know I did. SB

Last fiddled with by Batalov on 2012-09-05 at 17:54
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Old 2012-09-06, 00:10   #491
flashjh
 
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"Jerry"
Nov 2011
Vancouver, WA

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M58029469 has a factor: 9252873882138722445047 [TF:72:73*:mfaktc 0.19 barrett76_mul32]
found 1 factor for M58029469 from 2^72 to 2^73 (partially tested) [mfaktc 0.19 barrett76_mul32]
22 digits, 72.970 bits
k = 79725646654967
k factored = 37 × 47 × 67 × 109 × 131 × 173 × 277

Last fiddled with by flashjh on 2012-09-06 at 00:12
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Old 2012-09-06, 02:00   #492
c10ck3r
 
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Quote:
Originally Posted by flashjh View Post
M58029469 has a factor: 9252873882138722445047 [TF:72:73*:mfaktc 0.19 barrett76_mul32]
found 1 factor for M58029469 from 2^72 to 2^73 (partially tested) [mfaktc 0.19 barrett76_mul32]
22 digits, 72.970 bits
k = 79725646654967
k factored = 37 × 47 × 67 × 109 × 131 × 173 × 277
Indeed...
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Old 2012-09-07, 02:15   #493
c10ck3r
 
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M84400871 has a factor: 366146159045877230441.
(68.311 bits)k=2^2*5*7*71*79*1429*1933
Found with B1=25k, could have been found with 4% of that...
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Old 2012-09-09, 17:44   #494
dabaichi
 
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P-1 found a factor in stage #2, B1=1000000, B2=10000000, E=6.
M7853249 has a factor: 677290196547608503227551 (79.1641 bits)
k = 43121655543304975 = 5*5*7*13*31*31*10567*1866547

This is my largest prime factor and my first factor found in P-1 stage 2.
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Old 2012-09-10, 17:18   #495
Jwb52z
 
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P-1 found a factor in stage #2, B1=490000, B2=10657500.
UID: Jwb52z/Clay, M45721331 has a factor: 2068776071860350403687

70.809 bits

I don't know why this one was not found earlier unless it was just barely missed by the earlier testing. I'm also puzzled as to why I suddenly got a 45M exponent when I had been getting 57M to 59M range numbers.
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