ECM on 2P-1, P < 10000


Curve counts in these tables assume B2=100*B1. This is the default for prime95. For maximum throughput, you should use GMP-ECM for stage 2 (and report an adjusted number of curves for updating this table).

Mersenne Numbers, no known factors

Digits in factor30354045505560
Bound #1250,0001,000,0003,000,00011,000,00044,000,000110,000,000260,000,000
Total curves needed6401580470097001710046500112000
Curves needed over previous bound600145042508650150004000095000
1237DoneDoneDoneDoneDone6002+50
1277DoneDoneDoneDoneDone600+200
1619DoneDoneDoneDoneDone600
1657DoneDoneDoneDoneDone600
1669DoneDoneDoneDoneDone600
1753DoneDoneDoneDoneDone470
2137DoneDoneDoneDone38650+50
2267DoneDoneDoneDone23500+200
2269DoneDoneDoneDone1805
2273DoneDoneDoneDone2315
2357DoneDoneDoneDone2480
2377DoneDoneDoneDone2739+5528
2423DoneDoneDoneDone700+1095
2477DoneDoneDoneDone600
2521DoneDoneDoneDone500
2557DoneDoneDone7900+1800600
2671DoneDoneDoneDone680
2713DoneDoneDone8200+1500605
2719DoneDoneDoneDone730
2851DoneDoneDone6390+3310605
3049DoneDoneDone3500+6200105+500
3607DoneDoneDoneDone750+645
3673DoneDoneDoneDone760+645
3691DoneDoneDoneDone760+645
3847DoneDoneDoneDone720+725
3881DoneDoneDone2360+10223105+500
3919DoneDoneDone2360+9223105+500
4007DoneDoneDone2860+9223605
4049DoneDoneDone3360+9223105
4111DoneDoneDone2345+9223105
4159DoneDoneDone3380+9223105
4261DoneDoneDone1360+10223105
4363DoneDoneDone1710+10200110
4567DoneDoneDone1560+9165105
4583DoneDoneDone1460+10200105
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4703DoneDoneDone1360+9395105
4721DoneDoneDone1662+9160105
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5309DoneDoneDone1450+9280205
5443DoneDoneDone1500+9200205
5471DoneDoneDone3450+6375205
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5839DoneDoneDone2300+7475205
5879DoneDoneDone2302205
5923DoneDoneDone1900+7820205
6007DoneDoneDone1400+8395249
6073DoneDoneDone950+8855305
6211DoneDoneDone940305
6247DoneDoneDone890305
6329DoneDoneDone270+500305
6577DoneDoneDone600+500305
6581DoneDoneDone475305
6679DoneDoneDone400+500305
6733DoneDoneDone400+500305
6763DoneDoneDone640+500305
6971DoneDoneDone540+500305
7069DoneDoneDone640+500305
7127DoneDoneDone540+500105+300
7321DoneDoneDone440+500105+300
7351DoneDoneDone440+500105+200
7621DoneDoneDone600+500105+300
8291DoneDoneDone600+1000105+200
8329DoneDoneDone500+1000105+300
8369DoneDoneDone700+1000105+100
8389DoneDoneDone700+500105
8581DoneDoneDone300+500105+200
8681DoneDoneDone310105
8923DoneDoneDone310676
8999DoneDoneDone380105
9011DoneDoneDone275105+200
9209DoneDoneDone400+500126
9227DoneDoneDone500+500200
9463DoneDoneDone560+500200
9473DoneDoneDone560200
9551DoneDoneDone500200
9587DoneDoneDone500750+200
9679DoneDoneDone500100
9857DoneDoneDone500700+200
9929DoneDoneDone6500618+200

Mersenne Numbers, some known factors

Digits in factor30354045505560
Bound #1250,0001,000,0003,000,00011,000,00044,000,000110,000,000260,000,000
Total curves needed6401580470097001710046500112000
Curves needed over previous bound600145042508650150004000095000
1201DoneDoneDoneDone500
1213DoneDoneDoneDone735
1217DoneDoneDoneDone735
1229DoneDoneDoneDone1075
1231DoneDoneDoneDone500
1249DoneDoneDoneDone515
1259DoneDoneDoneDone5
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Factors found recently


M7901 has a factor: 54052096136682432292747785815830169
M2657 has a factor: 89949828963946355566706899035478721805841
M9547 has a factor: 8870060337839649268018893272220199
M1607 has a factor: 14950998663475271751814476834378599253816793
M7603 has a factor: 923076980788359348074835915062253631
M8231 has a factor: 526731815247335216234269586171071
M9413 has a factor: 859274854814801166088030994389589549033
M8641 has a factor: 30353651823056120943831476457739926077297
M8363 has a factor: 17329758935264249484110924882111
M1709 has a factor: 29015032394371006564513715526946615358047


Factors found thusfar


M1201 has a factor: 2830858618432184648159211485423
M1249 has a factor: 9345276045907272726364012481
M1283 has a factor: 4824675346114250541198242904214396192319*
M1301 has a factor: 161317830296866767945829203107381353*
M1307 has a factor: 161633497146742177992711798481
M1307 has a factor: 141196558805510033914433414063**
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M6361 has a factor: 2169870252318063137
M6361 has a factor: 468366730522227935807
M6361 has a factor: 46474926955338819293975401031
M6373 has a factor: 2281781170953854076028519
M6389 has a factor: 31592314300589017572444851177
M6397 has a factor: 781292138484349048678001
M6397 has a factor: 111133653312954019604243183
M6427 has a factor: 104899805350908266590301708261455759
M6449 has a factor: 338460971146505953
M6451 has a factor: 1835345745569959138793*
M6481 has a factor: 87544774671882665385499673268127
M6481 has a factor: 8821141638485718252092735500785747871
M6469 has a factor: 307213903898532889
M6521 has a factor: 71134601241639755613468553
M6521 has a factor: 890373451469460569097501872209321
M6547 has a factor: 5954218817991769671847*
M6553 has a factor: 48148787923258371689
M6563 has a factor: 365173451932931193637049
M6569 has a factor: 4622162883064855430847877756283397943
M6599 has a factor: 57296124370235529118491623*
M6607 has a factor: 13612042925978561869319743
M6619 has a factor: 21795347760988883432721721594452049241
M6637 has a factor: 387897458429273089879
M6661 has a factor: 136375449383697285680873
M6661 has a factor: 221318810814268688188345577
M6689 has a factor: 124398594700293769
M6691 has a factor: 109924040876430174768271
M6703 has a factor: 3378539968574689756010633
M6709 has a factor: 47684313707408952087759505533673
M6761 has a factor: 3676535107426532447364097069070657
M6781 has a factor: 4441550321163963199
M6781 has a factor: 1321269609013837903207351
M6791 has a factor: 3693009983350752223
M6793 has a factor: 2820866731064698218952289
M6823 has a factor: 11610103966191879627695393*
M6827 has a factor: 49216335606275697439
M6833 has a factor: 700769260051569001
M6857 has a factor: 1567422963895137373273*
M6857 has a factor: 791397821802294808664753
M6857 has a factor: 2131430813006993112582767
M6863 has a factor: 7586485806800975690073789503
M6899 has a factor: 5555255256861209078227365649
M6899 has a factor: 4184592907970287737294525619724716457
M6907 has a factor: 4989688527163265114280435761
M6911 has a factor: 34994641591123048577093874332527
M6949 has a factor: 3554523891146312459670279908364151
M6959 has a factor: 11525167797695238703728323038967
M6959 has a factor: 15057974223738705067611652509724545398689
M6977 has a factor: 16388482910075438141359
M6991 has a factor: 3263565159955914039377
M6991 has a factor: 152998361330856023375188758505898921942830471
M6997 has a factor: 2992217858291956215986479
M6997 has a factor: 15435253699168481013323287
M6997 has a factor: 4560686028672621371605189087078962146041
M7001 has a factor: 43688272942083813249751
M7001 has a factor: 23941313796652511915242297729
M7013 has a factor: 1446087342943764981983
M7013 has a factor: 1462102413595350700488992078837779280887
M7039 has a factor: 218216841131937276721**
M7057 has a factor: 47758280943609490592879268928418689
M7079 has a factor: 2728964937169775752549019383
M7079 has a factor: 7044163811463925707573881327
M7121 has a factor: 4492202993001512175608993
M7129 has a factor: 7973671345911024691309601
M7129 has a factor: 40896927904839545543238878809439
M7151 has a factor: 35314630906184177887463
M7151 has a factor: 32647220550461602253824631
M7159 has a factor: 17733263338727311199857
M7193 has a factor: 742145137972263264433
M7207 has a factor: 151085282097257648071567
M7211 has a factor: 4805906110723913959
M7213 has a factor: 37401545574121003922519
M7213 has a factor: 2243289574423674030855977
M7229 has a factor: 6846585126656039*
M7229 has a factor: 6904054187426942448623567161314017
M7237 has a factor: 470257048912459353654355714889
M7243 has a factor: 616371151999917979410919391*
M7247 has a factor: 64222791715560094681*
M7247 has a factor: 1668120936822602206372529
M7297 has a factor: 2862926694808141183
M7307 has a factor: 19403975118784485727087679570650087
M7309 has a factor: 29680914257391002355912188445473
M7333 has a factor: 2103333969821394327649312753913
M7369 has a factor: 144765124792625012737
M7417 has a factor: 3888241452787718190543521**
M7433 has a factor: 449110207092437996367967
M7451 has a factor: 32846897850878691178673
M7457 has a factor: 283771620384216766466696041
M7477 has a factor: 8303323208630384921910830498744689673*
M7481 has a factor: 155813430814304469564431631959*
M7489 has a factor: 1732276648889069656007*
M7499 has a factor: 150250803433909591180118210911
M7507 has a factor: 71722077351430099722929*
M7523 has a factor: 14243534274472525406257*
M7523 has a factor: 250069106903383620120138337
M7541 has a factor: 6856081223769943835279953030060993
M7549 has a factor: 4890512571580778239561
M7577 has a factor: 757126627374005209*
M7573 has a factor: 363484895731261618033
M7603 has a factor: 923076980788359348074835915062253631
M7607 has a factor: 3842104813651040425861302239*
M7607 has a factor: 10349487715195862854341815183
M7649 has a factor: 34225449148941833
M7649 has a factor: 111364956811627513
M7649 has a factor: 22648432701268157411079847
M7687 has a factor: 1581931055616196447
M7687 has a factor: 42696750993955910912369
M7687 has a factor: 149420500232295251799844886897
M7687 has a factor: 1338594922725774350630334401897
M7691 has a factor: 27900619894552913
M7691 has a factor: 36452227423410178577561153
M7699 has a factor: 15771546610752001*
M7699 has a factor: 176781522466502090521
M7699 has a factor: 70188508559362968161161
M7703 has a factor: 235184287264479275142265586033*
M7723 has a factor: 27077623426582198666769719*
M7741 has a factor: 410283032247663532892257409
M7753 has a factor: 42785191951755720116199539665236767
M7753 has a factor: 33791185160686027814981313458238158393
M7757 has a factor: 233293220467553594643512097574361*,**
M7823 has a factor: 53386764620646906486511441115731114087
M7829 has a factor: 509107340269502308381783
M7867 has a factor: 380992376184076849742425738143760739968649993*
M7873 has a factor: 99962587251231955979753667848833
M7877 has a factor: 75013746274130407
M7877 has a factor: 436539569216807587121729
M7879 has a factor: 139407648460616142019457729
M7879 has a factor: 5918461213154020418616563183
M7901 has a factor: 54052096136682432292747785815830169
M7927 has a factor: 344222240277888978604350407
M7951 has a factor: 3519072882484457037433
M8009 has a factor: 198324801838331858447
M8009 has a factor: 8305464492973486429564759
M8017 has a factor: 6163457930572547825574125412144120319
M8053 has a factor: 3607202980919714644116729071
M8069 has a factor: 3133683643066645087*
M8087 has a factor: 3463560677672775427446703
M8093 has a factor: 45198710158710412409091583
M8101 has a factor: 11072206468574816189936903
M8111 has a factor: 224086241657028583781332539932686711
M8117 has a factor: 2485053797104730732642299543*
M8147 has a factor: 2095869993976940082305137*
M8171 has a factor: 24625013322121973857347433596788858969
M8179 has a factor: 1149840705859791662513
M8191 has a factor: 210206826754181103207028761697008013415622289
M8219 has a factor: 8736428131736170757183
M8221 has a factor: 66413573927432647
M8231 has a factor: 526731815247335216234269586171071
M8233 has a factor: 195611422708913289323830429299939553967*
M8263 has a factor: 163604664259317708257*
M8269 has a factor: 826971837600921871
M8273 has a factor: 5967764427340016644604473
M8293 has a factor: 620852653708545890773593391643690561
M8297 has a factor: 611341564522218772847646009912456500753*
M8311 has a factor: 7460201293302505623521*
M8317 has a factor: 1083805208337724053698641
M8353 has a factor: 613575823217056714283090451689
M8363 has a factor: 17329758935264249484110924882111
M8501 has a factor: 1254822064406541848612167
M8527 has a factor: 288883383479455197011146279*
M8543 has a factor: 3566480321357275297
M8563 has a factor: 235035115803166906361
M8563 has a factor: 9139671749156544671917417
M8563 has a factor: 316515574095503525384055959
M8573 has a factor: 79764519978606583742551
M8597 has a factor: 1976405071582125473999
M8599 has a factor: 14938606348468302939581534787407
M8609 has a factor: 78003192453522838892916663606986328967*
M8627 has a factor: 199774133443790513
M8627 has a factor: 617439464973514186509350238353
M8641 has a factor: 30353651823056120943831476457739926077297
M8647 has a factor: 5528411860854571021160593798328404159*
M8713 has a factor: 12849595133066039
M8713 has a factor: 9104852758013509722882119
M8713 has a factor: 33797070866174595750370466663
M8713 has a factor: 1543684774837355757550295246399
M8737 has a factor: 30427637033372331604582934081
M8741 has a factor: 699075483833915085546449
M8753 has a factor: 36317083512257497511*
M8761 has a factor: 27521653946472839
M8783 has a factor: 34938786884895059426078183
M8783 has a factor: 2427225872126925200442364062463
M8803 has a factor: 103569632893467926927132212127
M8831 has a factor: 164856377760300429239292726292199519*
M8837 has a factor: 37574063653928729
M8839 has a factor: 16054757793629976761807126831
M8849 has a factor: 15264764469472455023**
M8887 has a factor: 1306760950645628240479180956421521960143
M8893 has a factor: 184158107161769757477018143
M8893 has a factor: 31913490713717678084148776432183
M8963 has a factor: 16101263151277304717416327321
M8971 has a factor: 6589256682907003009092967
M9001 has a factor: 6659525086963408257770983
M9013 has a factor: 3897761594020778667193*
M9091 has a factor: 52049390429838735967998662784207097*
M9103 has a factor: 150588276643469519
M9103 has a factor: 490166749616008974857453852804805521
M9133 has a factor: 883117067562565901563527829499174996489327*
M9151 has a factor: 46724612512681182780496967*
M9173 has a factor: 70247603758191239287
M9181 has a factor: 542584545654971527
M9187 has a factor: 2568808998473618191634080841213231539849*
M9199 has a factor: 27501538836418563053497
M9203 has a factor: 16123257397803240272638801
M9239 has a factor: 15144454549026014073311
M9277 has a factor: 1761960954691966259428048925191
M9281 has a factor: 70149993780688634814679
M9293 has a factor: 746725237934525064252911
M9349 has a factor: 1926177466382766645407
M9349 has a factor: 543479589900701506032857
M9413 has a factor: 859274854814801166088030994389589549033
M9419 has a factor: 1477656837425731227813407
M9419 has a factor: 16099935431400992757153857
M9431 has a factor: 3517031721219792871
M9431 has a factor: 2761079537014787013632041
M9461 has a factor: 278644682226340989049
M9461 has a factor: 61270435535208255877849
M9497 has a factor: 1927931269439244738847
M9497 has a factor: 2906763363066789240328664008922853143
M9521 has a factor: 2935942905394292585908884339571206271
M9533 has a factor: 11593261585154967627826223*
M9547 has a factor: 10411952658137143079
M9547 has a factor: 563978286583081860003601
M9547 has a factor: 8870060337839649268018893272220199
M9613 has a factor: 1573278017640689661301568154460231
M9623 has a factor: 932325300974901388559*
M9623 has a factor: 2256262405674702560089
M9623 has a factor: 13859401692164548785428669465929
M9631 has a factor: 11243758800775857442590625427049268697*
M9643 has a factor: 61747892395964379745414372849
M9643 has a factor: 457335736472136669072312395951
M9643 has a factor: 1423789230517411388894976768640621783
M9697 has a factor: 19092282046942032847**
M9719 has a factor: 75309171260423390037747764207*
M9721 has a factor: 14144348109786497832711164593*
M9733 has a factor: 353435802999708808999
M9733 has a factor: 4424579967215442704801447**
M9739 has a factor: 259908822802932530786005423324417247
M9749 has a factor: 65903609610877159128829561609634790791
M9767 has a factor: 963679519756293838342359610297*
M9781 has a factor: 176141975350148346616820497*
M9781 has a factor: 3528158360791942352329812337769
M9811 has a factor: 33095956708798297
M9811 has a factor: 384438101927996319709178028450440287
M9839 has a factor: 347473658991985642372113697652983*
M9851 has a factor: 14177526370584537994393252454153
M9883 has a factor: 1753018713541977529
M9883 has a factor: 740958100482716677361
M9883 has a factor: 52777604336327421559117167977173663
M9901 has a factor: 4512717821471308759
M9901 has a factor: 8336998551279784091551
M9901 has a factor: 1017688752041649660766793
M9901 has a factor: 25146117302614435382787771401
M9901 has a factor: 1502440689076527620360606617623599**
M9907 has a factor: 35132666058874954099939688872921*
M9923 has a factor: 4029959159110633611919371121923073
M9967 has a factor: 41557302123847080424871*
* indicates first known factor.
** indicates factorization of the number is now complete.


Last updated: December 16, 2007