is 2 27143 - 1
has 8171 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- L-L tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2671,094.717577.6119%200000000120000000000.553413.5537%1,095.270980.6464%18.1464%
PrimeNet2400.000062.5000%500100000.00003.9998%0.000063.9999%1.4999%
GPU722440.000165.9091%500100000.00001.7075%0.000166.4912%0.5821%
Difference+23+1,094.7174+11.7028%+199999500+11999990000+0.5534+11.8462%+1,095.2708+14.1552%+14.1552%

Known prime factors (7 factors, 178.7 bits, 0.65853142% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2714354287515.7281
1
-111.609e-136.565e-101.336e-9
27143868577619.72816
24
2008-08-2616162.582e-121.050e-82.138e-8
271435211457722.31396
25 × 3
2008-08-2632322.101e-112.101e-84.276e-8
2714344948809825.422828
22 × 32 × 23
2008-08-269231.942e-106.410e-91.203e-8
27143152000801927.1802800
24 × 52 × 7
2008-08-2625251.058e-91.641e-83.340e-8
27143214809703927.6783957
3 × 1319
2008-08-26313191.223e-94.904e-88.815e-8
2714317806585918391340.69632801433
3 × 73 × 127 × 251
2008-08-263433431.013e-52.252e-74.583e-7

120 Composite Factors:
exponentprime factorscomposite factordigitsbits*
27143471524395991135.457
271432829143661591238.042
2714324401359941831341.150
2714345265516866891342.042
2714382516674838871342.908
27143116613743467611443.407
27143390415016747931445.150
271431320243997301771546.908
271431865787674026311547.407
271432342487853047131547.735
271437921456383770571549.493
2714311194715303672711649.992
2714368322549719960091652.601
2714396554403114937271653.100
27143326512469185721031754.858
27143966666129751637931756.424
271432457329114152857431857.770
2714315466390977237431031960.424
2714321194460014194875911960.878
2714371672085881521187991962.636
2714392798256830494994231963.009
27143101288015459866290972063.135
27143127166638078369546312063.463
27143430032102705752933592065.221
27143607727509690480407772065.720
27143800384829387801697512066.117
271432034631071936117034012167.463
271432706615322670600630392167.875
271433709026256647473405832168.330
271433825027432573338138172168.374
271435241648881900599576492168.829
271436880394821446290378892169.221
271439723472234318131433672169.720
2714317725382414685237555612270.586
2714359343395268113775091932272.330
2714383864933794362869164792272.829
27143283601220947926015074312374.586
27143356060029995934050751132374.915
27143503189119994161640302392375.414
27143839623966981288418325612376.152
271431701605693125210161840712477.171
271435037738968557081751764012478.737
2714314676346613547360104753272580.280
2714343450491232975590752725372581.846
2714380602431523060850603310712582.737
27143110454017002195985425300872683.192
27143146934026021818896421981932683.603
27143207649264232108807506834792684.102
27143373515993671854765798801432684.949
27143527858137184428401139643292685.448
27143695195853955168635018143272685.846
271432350903817119262283742255032787.603
271433221574898920092508415603912788.058
271433322330852302252320037284092788.102
271434171171121806864871100372072788.431
271434552775660894577078348954732788.557
2714314105409369638960349450378232890.188
2714315395859481600059580339066972890.315
2714319329430848389271813126594312890.643
2714319933965988676351053533013692890.687
2714327316627757123052967095845932891.142
2714392375068262688284055846623772892.900
27143121659135175194197650679705512993.297
27143171930427486499354465018939532993.796
27143309265552673778409999264242012994.643
27143437058496277168935048928999032995.142
27143581407233598120888245688674172995.554
27143796734828609645538006740768492996.008
271431477975568117615666741118369673096.900
271434375664200092404396701928513773098.465
27143127475371125551253977062809967931100.008
27143377400973236642396892299436984931101.574
27143764851492935976846494371622143931102.593
271431276235155199533915975157988136132103.332
271431803593749789323716978640413938332103.831
271432264403666895292732574258985640932104.159
271437657403584495902404906126829720132105.917
2714310821552116272730696431467141890333106.416
2714336229832994656412691457478714443933108.159
2714366045094712557674078624491730213733109.025
2714393335871169595904558424831702651133109.524
27143122516341540528992634445611718787134109.917
27143167890990580014085436300579059968734110.371
27143173141843765465389690245444318191334110.416
27143237265945873986699770012085703416134110.870
27143315628544903411886601937010546667934111.282
27143802348596664010017003750929342752934112.628
271431056703266530646506128344265727592735113.025
271431493348149149411498031627554401488135113.524
271435049969507369550467497755315445560935115.282
271436340213516227120277060183060380280735115.610
271436920255472292800924652808764727387335115.736
271438960080298375094663222042075461952135116.109
2714330299787973855622898942119608239656936117.867
2714341521492997015375065639952251325899336118.321
27143261335626942203185646658052887305635337120.975
27143664332415179851961397541820446882230337122.321
271431966808943780912675781152146971015999338123.887
271436651044633210697423146148923377795297738125.645
271439399351272495819610114354435701651103138126.144
2714357365250230149206878189425153553824904939128.753
2714381069390972874101993642965045793584484739129.252
27143274147694646570786229050642809593164578340131.010
27143344191171155421678480766157798864298360940131.338
27143486415879157888763982334998150602993652740131.837
271431644884589736700200314870847172506254130341133.595
271435506963635284003448888102622035923069563941135.338
271437782519665321744597297411639778515969161741135.837
2714314187127179811384339200125717093161023531142136.704
2714326317698938967595370694449422965976471231342137.595
2714336064613822868623428388352806599895636296142138.050
27143226990114842578016379417311602697266791968143140.704
271431361939382377333387260575636325919164223632144143.289
27143298956534868662695229788427042464155677415439346151.067
27143422489645071321548953484585688656296417881207946151.566
271431428708922299733849888889575824553964693733583147153.323
2714312322612364459032775189427594975626522335572244748156.432
2714373935603251118297594214869569225173668208315812748159.017
271431182949222927157101506629004473057889903869698521750163.017
2714364218764465046577569490368765828893669211374323647
5279
54178.745
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-12-22T01:05:42kkmrkkblmbrbkManual testing5000000001000000000012---0.668--13.609%
unknown20000000012000000000---0.553--13.554%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:59:00ANONYMOUSManual testing??19.72868.91156e-153.06440e-52.22206e-14


ECM factoring results:
Total ECM effort:88.650 GHz-days
Estimated T-Level:37.174
DigitsB1CurvesCompleteFacMiss
20110003468 / 10034.6800.000%
25500003468 / 28012.3860.000%
302500003253 / 6405.0830.618%
3510000003054 / 15801.93314.464%
4030000002044 / 47000.43564.730%

ECM Summary

B1B2factorcurvesGHz-days
5000050000002040.096
250000250000001990.470
10000002000000001,00012.52
30000003000000002,00056.68
5000003500000300301.417
various4117.4626


Lucas-Lehmer results:
Exponent "27143" not found


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:36:50Oliver KrusePRP
54287
868577
5211457
44948809
152000801
214809703
1780658591839
F12D0DBF7972EC3Dno
2017-09-21T20:27:16Oliver KruseManual testing
54287
868577
5211457
44948809
152000801
214809703
1780658591839
F12D0DBF7972EC3Dno
2017-10-02T10:28:29kkmrkkblmbrbkManual testing
54287
868577
5211457
44948809
152000801
214809703
1780658591839
F12D0DBF7972EC__no
2017-12-07T02:55:10ATHManual testing
54287
868577
5211457
44948809
152000801
214809703
1780658591839
F12D0DBF7972EC__no
2020-04-17T13:49:41Oliver KruseManual testing
54287
868577
5211457
44948809
152000801
214809703
1780658591839
A85FE2DAE21D94__no


P-1 factor-bounds graph:
B1 = 500000000, B2 = 10000000000 (P-1 stage 2)
B1 = 200000000, B2 = 12000000000 (P-1 stage 2)
B1 = 500000000 (P-1 stage 1)
B1 = 200000000 (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:
267
2
210
220
230
240
250
260
270
280
290
2100
Last modified: 2020-04-17T13:49:41+00:00