is 2 5837719 - 1
has 1757329 decimal digits
takes 1.035 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
Actual26810.210366.1765%20000000040200000000611.416720.0450%621.627072.9564%6.7799%
PrimeNet2620.105262.9032%240005500000.01353.1927%0.118864.0876%1.1844%
GPU722662.529865.1515%360008000000.01992.2807%2.549865.9463%0.7948%
Difference+2+7.6805+1.0250%+199964000+40199200000+611.3967+17.7643%+619.0772+7.0101%+7.0101%

Known prime factors (8 factors, 346.3 bits, 0.00593239% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
583771958377191825.7995
5
-157.665e-133.130e-75.230e-7
583771926152981131031.284224
25 × 7
2008-09-0832325.138e-118.223e-61.674e-5
583771930823156331031.521264
23 × 3 × 11
2008-09-088115.181e-112.098e-64.184e-6
583771963047365211032.554540
22 × 33 × 5
2008-09-0827271.095e-106.938e-61.412e-5
5837719152247711531133.8261304
23 × 163
2008-09-0881632.514e-104.226e-64.226e-6
583771923399912839611341.090200420
22 × 5 × 11 × 911
2008-09-08119116.930e-81.543e-52.393e-5
58377191295870660691039326332166.81211099118171764
22 × 7 × 233 × 967 × 1759333
2019-06-1796717593334.28320.02490.0460
5837719130310046750666946499829772683.4301116104138882557952
211 × 31 × 83 × 198349 × 1067837
2019-08-071983491067837372,7530.06310.1037

247 Composite Factors:
exponentprime factorscomposite factordigitsbits*
58377191526737574645405831857.083
58377191799369284299269031857.320
58377193680528080910925111858.353
58377198887793735299712231859.625
583771980611742586553005291962.806
5837719164887655263334848732063.838
5837719194331879406243327932064.075
5837719398173152672977342892065.110
5837719469275501337393348492065.347
5837719959881707121863787132066.379
58377191366021181221265335512166.889
583771961197747893796504655932272.374
583771972125917156367324623132272.611
5837719147530285068105982396812373.643
5837719356258317983208643770332374.915
58377194705887093818038821438340392788.605
58377199625678144849853761267317432789.637
583771911344549241487233347045244632889.874
583771923244230184662558884562021992890.909
583771927394985573193766946930291592891.146
583771956035197754059102577271351832892.178
583771975649289070456994741677739032892.611
5837719508235797506891735954169196092995.359
58377191227295333124813800644648399373096.631
58377192510376817339029023524122685693097.664
58377192958658391692448187167383203293097.901
58377193389088093597338426159640215293098.097
58377193572552617566006267431614892633098.173
58377193994282395794029098564747516893098.334
58377194210508441887432175683463027833098.410
58377198170123080951194738159987897933099.366
58377198612403629705270942621215160713099.442
5837719197293342529079865810975373584931100.638
5837719207973598742445057902315145430331100.714
58377191886307750374417900217303251536932103.895
58377193858356761489696522463884102195332104.928
58377194547349040063695392425102723307332105.165
58377199317217067620395317378332543872932106.200
583771910981005829059290341940162205688933106.437
583771922461148282987666011416786872219333107.469
583771930323260511578144847464811739931333107.902
583771976071344883826137132073439507760733109.229
58377193407996193719610466724767523022240135114.714
58377194016566942365415823727999319097944135114.952
58377198215705108021472787050298712020301735115.984
583771919839406407156355105812026017066248136117.256
5837719296693782240971426861181024064623831937121.158
5837719716460540752358820796685627378667696737122.430
58377191465487469477726090608112031299580967938123.463
58377191727181660355828610798740782286521583938123.700
58377191978454429557577023955607133392654503938123.896
58377192331749863272056333464720916602632559938124.133
58377193049243736091110841732199583702313189738124.520
58377194769488355901963569077606020751481146338125.165
583771911517431139848518380701679280062062015939126.437
583771977377737088048746202491281067122323917739129.185
5837719104462392125092434381434751892438526285740129.618
5837719110117347828387715274804453419890654847940129.694
5837719213673074765894058438053454415591656060940130.651
5837719225240029611625458423909952835718547402340130.727
5837719251828980959499920514578723528804473396940130.888
5837719265461463455464998089420174873130403794340130.964
5837719515980906423765220681737109226059015293740131.923
5837719543912960344935732938100538175184163023940131.999
5837719608120353964206627494711616978752522741740132.160
5837719641040274655107542615896159652482201879940132.236
58377191243882541993252334504235720472337724132941133.192
58377191311218743395293029392685947845838669986341133.268
58377191770186770627155073186119180721011826978341133.701
583771911892673363630943959616165646096742809124942136.449
583771928718603823580762596395230975452098035045742137.721
583771958742598720310832921932559163438307412180942138.753
583771969232348487783990893172718654870721794316942138.990
583771979304365995937736871615394977342575639636942139.186
583771993465859918368893364479189643392176336012942139.423
5837719191180167983143873165239372839134421141007343140.456
5837719198949244728042700661590898122066207565559143140.513
5837719234475895558751871336191748298850630433023143140.750
5837719461664701901578962178937850960681794441788943141.728
5837719479609786290645148990937614518663148218524743141.783
58377191158168817157190308875813852895245624987087144143.055
583771910504519945106451760256177244502138066909483345146.236
583771921486518065973018943453497057633025453700692145147.268
583771925323396290572539271209215677379940943286476145147.505
583771951885962139676125204188106975140264451919835345148.540
583771961151312518218396417943776951806021315286547345148.777
5837719125082230130160067792857899790799743672516860146149.810
5837719168864966377466998321530786124988715720478844146150.243
5837719178006283987344371009971385947910424216936132746150.319
58377194517094937136805474373358190690083723707441180747154.984
58377196098221017403416934539983365262495304738829468747155.417
58377197974681389076152180456063222596045238757421036147155.804
58377199398731636580957259806947576321731962874404580147156.041
583771912473633897165877735203408176628787483873466931948156.450
583771914701068520808090124364380427977212745145250107948156.687
583771919224678344364112307328049617028970359281591033748157.074
583771930121515926653269226894917437077509313072245996748157.721
583771935500358054356097456724631554287478961824064564748157.958
583771946424038071705889322929940773189586789915976724148158.345
583771972614368735505612242549658963036269538211612683948158.991
5837719658607858702093071545427724634831040420871270049749162.172
5837719694260864449296069040809188609827959446160830155949162.248
58377191590416014199481662429013209363710233820357596412150163.444
58377191676511420662504482015420310143083438342587522628750163.520
58377193253123664868596089161772470258500318623487931217750164.476
58377193429227905331941072852745095402838288517600125851950164.552
58377193834038604801580651156151065928904711150479039625750164.713
58377194041590031049927203113004392904651206494700385827950164.789
58377194629566120878762489462034391132768210547030481947950164.985
58377195456274356433865296396834269337526965873105241763950165.222
583771911160561181764074664246953428950362377623021084494
3
51166.255
583771926950688480866538276701631102661254604351048996979
9
51167.527
583771918106323035865987493452379568116329696762496269400
97
52170.275
583771924444108707443250085402064590213270169053779131365
77
52170.708
583771949999313256933918729656186897949170416342369860922
49
52171.740
583771958927762049401044074538651108917962047133249815712
09
52171.977
583771961322436719878884974076106793215501384034568631541
03
52172.035
583771912073908237219069715070745299617463341970643985143
457
53173.012
583771912543225690622575277086029973513811348185469595538
911
53173.067
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737
53173.249
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53173.304
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169
53174.282
583771930289567220466418391848031208161954697002345419966
423
53174.339
583771935698418507767263074040196943769779012725539914626
343
53174.576
583771973019492390143091381166140519463766791215581927779
791
53175.609
583771998578623954259690572126821139986161304590960934849
231
53176.042
583771966228230533485561645611856989261776333028560962749
5993
54178.790
583771915992891223636985027373431920215117948790668520797
52449
55180.062
583771932712732042923936968661334020002166438761703418021
49913
55181.094
583771938554291334069600175026571027272947949419155034230
39433
55181.331
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11833
55181.527
583771946553949861424384938355006985356484874758257049182
75951
55181.603
583771952049512573128590786803910256383221041382479941519
98153
55181.764
583771954867155190642912891858680178992082424752402518377
24991
55181.840
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353761
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923367
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642473
56184.068
583771927101049375032463968295418321351761872460018471743
400031
56184.144
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0873513
57187.325
583771938447676761553099337384099457702936899377922518103
9163927
57187.971
583771950278264997047427102275124235386238846962077066073
3294081
57188.358
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1398321
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0764111
57189.243
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06516233
58189.630
583771914309353829540623763823474180896637063536830181315
75578553
58189.867
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05354807
58190.275
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60574087
58190.512
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92108561
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583771939514254948964009638130345613560202872539971558729
61494801
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1454363041
60195.998
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583771929166047300376462315486890959921076524865104410363
422047940457654874851427797316999
83273.942
583771913066388971737832689364665833907347488577911387338
15323971331105005559520503027953057
85279.428
583771913773723442393274189690262499584987460345042506773
80428346945915936259417334255107879
85279.504
583771918594962238616530122606982161517922312712850082226
89666856051229284265240170705331239
85279.937
583771938035150027226804120840939252153987826528824700482
50520447809517084408126984016168143
85280.969
583771944827141100920281197135115343280013142043470169939
19592782067454929353879878351816863
85281.206
583771991847843760916113304358124821885705408251305165508
89984738038980415238436858543267399
85282.241
583771910824924442623694518744996898526177704586813392630
690679514587696678871983475319902359
86282.478
583771922141890901695068518078369371255667134542425237581
315473472773838897943455131078683583
86283.511
583771920082558876877367048766845969570129813372056305246
6447785688582294332246139679488452809
87286.692
583771948495660690767606553666197328518881684301261618480
7066856320458432083007648510722667537
87287.964
583771999195669578303247233557479329147479359746723411700
2838348817554063976074453205709209769
87288.996
583771911690918199622721807953914917243915290244854640493
17271750707011639332810708561806109529
88289.233
583771976277908468343306083308476603718350064408305143971
435326201274441150604190273678893947522887
92305.227
583771911723633753242155397829684816331756560100148849941
376843476669435115451750355082176191925479519
95312.491
583771928310404468161325043962233516906365031908564510430
173440021188959097270265351571322710836948567
95313.763
583771957907645493454981196736065802761942697524921842289
991041831046977745557517785010248829143978879
95314.795
583771968248296470475175892279101032169723648644431611530
627792589927603508554603300557890560941353039
95315.032
583771930575236306710661656265822074030562819309215649241
08799747932253956216136425087884462123065018777
97320.517
583771917848964097469828772442062419876983055403125700159
35999076657930442625350333694126230312904321065635
15407
105346.316
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2019-08-07T15:21:16alpertronlaptop230000000100000000062683.4307.7092.06915.4213.095%
2021-11-09T22:56:53Seth_TrManual testing20000000040200000000-
skipped known factor: 58377191
skipped known factor: 2615298113
skipped known factor: 3082315633
skipped known factor: 6304736521
skipped known factor: 15224771153
skipped known factor: 2339991283961
skipped known factor: 129587066069103932633
skipped known factor: 13031004675066694649982977
--611.4--20.045%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08T01:43:00Will EdgingtonManual testing??33.826115.53281e-112.2091.18122e-10
2008-09-08T01:43:00Will EdgingtonManual testing??41.090131.91171e-82.2094.08137e-8
2008-09-08T01:43:00Will EdgingtonManual testing??31.284102.37605e-122.2095.07273e-12
2008-09-08T01:43:00Will EdgingtonManual testing??31.521102.80035e-122.2095.97858e-12
2008-09-08T01:43:00Will EdgingtonManual testing??32.554101.14560e-112.2092.44578e-11
2019-06-18T03:32:01Seth_TrManual testing26626766.812211.7532.1043.565
2021-08-06T09:33:38Seth_TrManual testing266267
skipped known factors(?)
--2.560--
2019-12-28T07:29:41Seth_TrManual testing267268--5.120--


ECM factoring results:

Old Calculation Method

Total ECM effort:16.335 GHz-days
Estimated T-Level:2.500
DigitsB1CurvesCompleteFacMiss
201100050 / 1000.50060.501%
255000050 / 2800.17983.620%

New Calculation Method

Total ECM effort:16.335 GHz-days
Estimated T-Level:2.500
DigitsB1CompleteFacMiss
20110001.78616.768%
25500000.15885.366%
302500000.01099.023%


ECM Summary

B1B2factorcurvesGHz-days
5000071333495016.34


Lucas-Lehmer results:
No L-L results for M5837719


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20T06:30:49kkmrkkblmbrbkManual testing
58377191
2615298113
3082315633
6304736521
15224771153
2339991283961
B23E14B1716E569Cno
2018-08-23T18:51:34Oliver KruseGTX-6
58377191
2615298113
3082315633
6304736521
15224771153
2339991283961
B23E14B1716E56__no
2019-06-18T17:36:53Niels_Mache_NextcloudSuperDry-X
58377191
2615298113
3082315633
6304736521
15224771153
2339991283961
129587066069103932633
F726036C6AED0F36no
2019-06-19T18:16:54kkmrkkblmbrbkc5.large
58377191
2615298113
3082315633
6304736521
15224771153
2339991283961
129587066069103932633
F726036C6AED0F36no
2019-08-10T20:02:11Chang Chia-Tcheexbbbe-lt
58377191
2615298113
3082315633
6304736521
15224771153
2339991283961
129587066069103932633
13031004675066694649982977
F726036C6AED0F36no


P-1 factor-bounds graph:
B1 = 200000000, B2 = 40200000000 (P-1 stage 2)
B1 = 200000000 (P-1 stage 1)
B1 = 30000000, B2 = 1000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2021-11-09T22:56:53+00:00