is 2 1971251 - 1
has 593406 decimal digits
takes 0.130 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26715.073668.6567%----15.073668.6567%0.0000%
PrimeNet2580.019563.7931%80001400000.00142.4719%0.020964.6881%0.8950%
GPU722620.311766.1290%80001000000.00121.1961%0.312966.5341%0.4051%
Difference+5+14.7620+2.5277%-8000-100000-0.0012-1.1961%+14.7607+2.1226%+2.1226%

Known prime factors (7 factors, 308.3 bits, 0.01563946% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
19712513942503721.9111
1
-111.418e-139.534e-81.940e-7
197125121289510811030.987540
22 × 33 × 5
2008-07-1527278.105e-112.574e-65.239e-6
197125122866511611031.091580
22 × 5 × 29
2008-07-155291.633e-106.013e-79.701e-7
1971251831095704133271446.24021080413
223 × 94531
2014-02-06223945318.845e-60.00050.0009
19712512733186348423771547.95869326188
22 × 17331547
2014-03-214173315471.587e-50.09000.1681
197125115155049150106652171960.395384401812608
27 × 32 × 11 × 30334739
2016-02-03128303347390.12020.15760.2943
19712519670035761151676802232169.712245276622843861
3 × 7 × 56377 × 207173833
2021-05-0956377207173833104.951.08122.0099

120 Composite Factors:
exponentprime factorscomposite factordigitsbits*
197125183933960236957431652.898
197125190151290621959831653.001
197125148681684610808550411962.078
19712513276597306832529374812168.151
197125110775595378219758496312269.868
19712511769362097728981334564872477.228
19712511900425956758454344226472477.331
19712515818820031051227787595372478.945
19712516249843736852564190496972479.048
197125159748826739442926500181512582.305
1971251191927687623166542417076232683.989
197125132264358270727688402612495772891.382
197125134654310734103439458353669372891.485
197125138124144998447769247822181692891.623
1971251227153943277069416313851582792994.198
19712516975715378382802098466003669613099.138
19712517492435035798076527475890654413099.241
1971251205870330870125201330701817106331100.700
1971251221119985001490004569159968890331100.803
1971251229407154288795587062781090111131100.856
1971251246400276820724448787268757159131100.959
197125112595296244582203160543991214695933106.635
197125140459138950013706320300894153140733108.318
197125141421573446762759633369271150080933108.352
1971251133056115796533460709804142087245734110.036
19712511272023292754187237103649724107123135113.293
19712511366247240321350123748777165522331135113.396
19712518036725179908254348618494587353192135115.952
19712518955551028316760050256088067043233735116.108
197125126430009731149422847666578034521007136117.670
1971251737773322986794210006800988855780889737122.473
1971251811644397066461216621895906047039068937122.610
1971251871766204228329347483926884829914420937122.713
19712514835996330931296163734133624543314959938125.185
19712515194218281202389254916610621684411191938125.288
197125149656993230154069707054166995912229837739128.545
1971251146549867243542652840614907634596490339140130.107
1971251159510276687845887208905236101439669172140130.229
1971251163304677578582520142837251617007398492740130.263
1971251470753631099625931838208055030930555414340131.790
1971251524574135696180558448784959591392433987140131.946
197125126814769555418521812001746644581339391267942137.622
197125128801048780812834816995786902658179996939942137.725
197125131684813131963832494191460766123721913826342137.863
197125188184503566206473072004673487146845292452942139.340
197125194716689012486836007207778217056295228924942139.443
1971251104200392655085793025194026900833174054771343139.580
19712512908673539195405133334442918966882724984919144144.383
197125117109794759465597576314294908338227250095660145146.940
197125118377186963275143679751779394243392632521028145147.043
197125119065930042685627919410313017162892859350629745147.096
197125120478221156295263244676502125822656177299325745147.199
197125156268197787971083144065859634164353382753675145148.657
197125160436212436974125619096706803534558964104243145148.760
1971251577773291257268639452082795194119566951372767346152.017
19712511855947602871168535149930771583608807512543992947153.701
19712513442529175004525533172788927478249800862488154347154.592
197125111058236624715788584037502747891109247844003443948156.276
1971251105717309416546188499382322151501864294091869553749159.533
1971251113548221221500943704510340851090582612475546569749159.636
1971251311997498288546621034634828313389351106233001567149161.094
1971251335108424076842676871012026496557828400428298695149161.197
1971251347667669863279718705797641237096899006031435608749161.250
1971251373420830581796388418924687244079095108922105024749161.353
19712512196586754775880770764542301177969755322411301621750163.910
197125161316023935845216742317617698859774077977776797031
9
51168.713
197125167455417168577396841411836619008185948183890231230
3
51168.850
197125172452114734273143782852429517142758183892050847334
3
51168.953
197125120164719746187467201581472322681025236547480832281
69
52170.430
197125122183753858366935920872908380527186570456651234277
53
52170.568
197125123826994884140780117566562386305540931965787073447
93
52170.671
197125112179696510740932132414537579753869363476618749389
1857
54176.347
197125113572181600042866928110319864949782274649762135792
2129
54176.503
197125139124132051203724437437868553047995922113078528726
3761
54178.030
197125140054809651336660714146815546642747929185496531780
0407
54178.064
197125143597131067651870639933606696068941882952727109586
0817
54178.186
197125112866573979924170910580572819292495392748796854443
17911
55179.748
197125112300510729950899190689109145300224569043769273772
964513
56183.005
197125113211659672482244840919955274987587281421737688903
278353
56183.108
197125173289762084999228137403103469396505175342288884466
797983
56185.580
197125178718633348004704906837018146260847093902273393788
421423
56185.683
197125186600498704641742663815203160210492942678725238774
571151
56185.820
197125124173860831514157454223743473060775588174961895562
86568457
58190.623
197125171342944169060064399147475137384743155210432736992
40344031
58192.185
197125179499468093503328004636559376586910038164152823713
05967007
58192.341
197125146764257460903932796462855285630662839789530441141
352680577
59194.897
197125150228276530454900592663155106222162086308777321727
814877937
59195.0003
197125148018490032685657154840711651792369227114659849323
1127898071
60198.257
197125115424700798426683720577210908399738306691857843873
93239533783
61199.941
197125115791620721482373887550596273308567363905760763303
24057998721
61199.975
197125150726506515572983587476640081779120963398309845032
79697071233
61201.658
197125125929978052793835574251564920532123895306329404736
9749857247417
63207.334
197125127850717166913401430807908090022315474236141259645
1495217495977
63207.437
197125128894510688939571192939614763740612984330249995387
7004448371449
63207.490
197125131034844813040859310931966455268782845025099456183
1032825441769
63207.593
197125185274730306462416922313094950732684124649974290854
8685024889967
63209.052
197125191591376992862980423866904894183489204502361428756
3034632822527
63209.155
197125128126977141535181107383211817156476204364659669689
076154063249593
65214.095
197125116758811956107726570449667407329864652853895345006
3398473779408263
66216.670
197125118436822533238613776185319635216474513785874313279
1106367232864231
66216.808
197125119802513090614803695127626699574619269175861351724
3875339711256311
66216.911
197125133289380231101741059466627199469545534602041403191
842421505478824089
68224.304
197125110693354361627889003849776473226234179980428677888
0716272151859199897
69225.988
197125110222901626307385513299351745389266005361688959716
37380921447513264751
70229.245
197125110980153598270758588116447006863724882412240962457
47809249463541810431
70229.348
197125133619588005741899810347014378254845935948489759161
81916356683769567401
70230.962
197125136109927856849327891003654414603308873921817343995
60126729006711165081
70231.065
197125159292814419125543409505442631601653842998060583990
2427507354390347301137
72238.425
197125166071666413390580327177525102400213383470440959373
5298673070738415102289
72238.581
197125119499356105923417145827328537459612995427713243080
34367437187956937801687
73240.142
197125113124348142925930743217035613379028167880515203820
8048322312614780407354767
75246.215
197125142158581650781037281344755295023847933275380003859
7560545107521351171522191
75247.899
197125170871462028824081449533561259734691592469738950132
029773645746789966885390209
77255.292
197125176121199954419244502750733126421214880840123647578
695578864554520964026617329
77255.395
197125123376209872584571226860543609141741508098138284656
32840155027206007405774525911
79260.335
197125176876269945671389867675680240920136613312745743983
98417724215831791153964402561
79262.053
197125127941095166302502758703041386718780080738672322011
2377778687677656684815551555153127
84277.202
197125130010805918389773470982827360311501893135683000094
9950055760242792564237830899434487
84277.306
197125116205831092997800131133448076303695508189786742768
6326985193614099989801629075347882649
87286.382
197125163891537701637106010394012441171548452124758802725
5627198106779170052092892034446253387330447
93308.293
P-1 results:
No P-1 results for M1971251


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-15T07:48:00J FeitsmaManual testing??30.987108.48151e-120.2831.85086e-11
2008-07-15T07:48:00J FeitsmaManual testing??31.091101.82195e-110.2833.97593e-11
2014-02-06T17:53:00TJAOIManual testing??46.240144.08957e-60.2838.92410e-6
2014-03-21T11:57:00TJAOIManual testing??47.958156.35721e-60.2831.38720e-5
2016-02-03T12:59:10TJAOIManual testing260261*60.395190.0420.2630.086


ECM factoring results:

Old Calculation Method

Total ECM effort:3.720 GHz-days
Estimated T-Level:2.150
DigitsB1CurvesCompleteFacMiss
201100043 / 1000.43064.910%
255000043 / 2800.15485.740%

New Calculation Method

Total ECM effort:3.720 GHz-days
Estimated T-Level:2.150
DigitsB1CompleteFacMiss
20110001.41124.383%
25500000.12788.064%
302500000.00899.219%


ECM Summary

B1B2factorcurvesGHz-days
500005000000342.871
50000500000020.169
50000687562670.680


Lucas-Lehmer results:
No L-L results for M1971251


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-05T10:35:23Oliver KruseGTX-2
3942503
2128951081
2286651161
83109570413327
273318634842377
1515504915010665217
8EE54036AB39B774no
2017-10-05T21:33:55Oliver KruseManual testing
3942503
2128951081
2286651161
83109570413327
273318634842377
1515504915010665217
8EE54036AB39B7__no
2017-11-15T20:49:29kkmrkkblmbrbkc4.xlarge
3942503
2128951081
2286651161
83109570413327
273318634842377
1515504915010665217
8EE54036AB39B7__no
2021-05-09T13:10:48GURA LOVE
3942503
2128951081
2286651161
83109570413327
273318634842377
1515504915010665217
967003576115167680223
CB53B87A91AA7EBDno


P-1 factor-bounds graph:
100
101
102
103
104
105
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
261
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-05-11T16:27:58+00:00