is 2 3388261 - 1
has 1019969 decimal digits
takes 0.356 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual273564.550569.8630%2371782716649990280141.563412.3038%706.113973.5710%3.7080%
PrimeNet2600.045363.3333%140002800000.00432.8455%0.049764.3767%1.0433%
GPU722641.050565.6250%180003200000.00521.7909%1.055766.2406%0.6156%
Difference+9+563.5000+4.2380%+23699827+16649670280+141.5582+10.5129%+705.0581+7.3304%+3.0924%

Known prime factors (7 factors, 341.7 bits, 0.01008524% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
338826172576550631032.7571071
32 × 7 × 17
-9172.080e-101.437e-62.789e-6
3388261201872590391134.2332979
32 × 331
2008-09-0793311.111e-94.042e-65.194e-6
33882614677426545291238.76769024
25 × 3 × 719
2008-09-07327192.097e-81.057e-51.115e-5
33882615209968403893831548.88876882631
7 × 61 × 180053
2008-09-30611800531.397e-50.00150.0028
33882612490802379631139511857.78936756353475
33 × 52 × 23 × 167 × 14177
2015-07-16167141770.00940.00010.0002
338826158631888036472496091962.346865220950164
22 × 3 × 41 × 53 × 181 × 183319
2016-07-281811833190.45370.00150.0028
33882611409582775456343063372166.93420800976894288
24 × 25307 × 51371599
2019-06-1725307513715994.99650.42990.7961

120 Composite Factors:
exponentprime factorscomposite factordigitsbits*
33882611465121627724908644572166.990
338826133947148448234567303272271.524
338826194424421305664095376312273.000
338826137812153564590084213961292581.645
3388261105174981754410122463829372683.121
33882612436924451249517264084656072787.655
338826118077384501462387737210839132890.546
338826150282472852571430559117530892892.022
3388261425530019061153739907836203672995.103
33882611165054516955819194276532340793096.556
33882611183617111737915358367744657513096.579
338826110230265567008320369332210342313199.691
3388261274246349502267628904351732916131101.113
3388261284556126250497688559009823014331101.167
33882616593219891703052538115794645027332105.701
33882616852998793598980923851911617575332105.757
338826112977001698221801532970603958223333106.678
3388261305470284130662356691081255450124734111.235
33882617343881722800518638272069818442007135115.822
33882617633237388308272478780612615486003135115.878
3388261146040446243512233114754311420719515937120.136
3388261176863570817595556479899121870491824137120.412
3388261491948251558469322337795233103137167337121.888
33882613510992131393725495088100144637240748738124.723
33882613649328436786250955665322688758673960738124.779
338826182646499468696457647449562904460947223339129.280
338826184555638136554205226536555652177849197739129.313
338826185902847236581181297231214294686524731339129.336
3388261235192573283441397933086245621887559008140130.789
33882611990385406974400186898673497131356919214341133.870
33882612065210210389591755640094816266468316400941133.923
33882615536282097902405342596472186745853553627941135.346
338826147851315728490970945811097485750671618219942138.458
338826194182602077659055992745265247567173729567942139.435
3388261133099037854897048453969967476495158326764743139.933
3388261261970094831546413223324881276932491305408743140.910
33882612216997954216950206582537800561993872936356144143.992
33882616069897222153606428052271810343720960538325744145.445
33882616166607754462611917169072204768997863752163344145.467
338826153299360367556346634081153089305123601196947345148.579
3388261142881481579003873801701391243475275942069766346150.002
3388261148252842689951662274345812783582496726777176946150.055
33882611059911184082005889567732888283663717674544001747152.893
33882612948156318488935923052899097492140979235979220147154.369
33882613435046731569720331803318270597287479996665155947154.589
33882613570390718657322517795078569788248663438323039947154.645
338826125481569818562833085858331645777502618152465668148157.480
338826168309345994540138261379839499574887698221822511148158.903
338826170877307640335860668601999746165345680213202499348158.956
3388261599819785308211655855177389250697978900959036567949162.037
33882611642240779568532719527252712372011831546985405862350163.490
33882611668406293441151262190756864039678350256064876408750163.513
33882611706946570270566995772861125753353826251848223010350163.546
338826138657293049017669239357080979573330670040113719325
7
51168.047
338826140180425798037653814573535932074725537744070453057
7
51168.103
338826176086611061925411033767877493493156354163783259689
7
51169.024
338826196598690596802222305571145690573041932523043336467
61
52172.690
338826118292158070881164278668187114134350750112168224510
521
53173.611
338826119012885851087629580497539742934030006319029308392
481
53173.667
338826143058565092433675256134489100742228559173791384650
2239
54178.168
338826144053220306252757456262915732993282199510202722148
0191
54178.201
338826144755111990710636224846253513954290091297072151447
7879
54178.224
338826112253458756372138241114672726784617465752107779325
10023
55179.677
338826110369845081907986991935311601723522021562847340864
217769
56182.758
338826110759679943528702209306719831616176306472753056011
316447
56182.812
338826128843854805114579440194117039587217140345671301082
925857
56184.234
338826120585609754481284391502845718328854693762474327534
9422583
57187.070
338826121396701631396666311427451551741967580661782458521
5563663
57187.125
338826124930384303018582703606392766800807513264308091833
3193217
57187.346
338826169344178181268243426898615928308939609444210358298
6191801
57188.822
338826149576567080749300480942340951021707005065602624477
22886993
58191.660
338826151440305064769214220194186858968163591114452803848
88989559
58191.713
338826113789784623764588507653499095501623883433383907142
571528329
59193.135
338826111918817108500628447358124614427214408722881753243
6314758249
60196.247
338826112108717382734235150587587026099574211627416596724
0708122481
60196.270
338826133152340021559268662243784124669162977011826487694
7992643297
60197.723
338826128056129861907779433147927763630138291718981374815
99275510191
61200.804
338826155221037800009476591758150005741435576964740270592
15950139511
61201.781
338826178038478852705381342292348755354669393210321217304
56463100023
61202.280
338826115359801269067311426352209191583643842952331188956
077806601983
62203.257
338826113275817363632699479841091110592852958376942553252
6503432417823
63206.368
338826135588953432220567358734013075616563877991411643920
6728388396513
63207.791
338826136926853335921258627938827520155199684059829825413
8596407849319
63207.844
338826131250421294861632621438229663092015216039086213971
24779719186057
64210.925
338826185560225731380275178103893295492731158014279098363
55934228799609
64212.378
338826186923440736860158132239160529860553509018506650168
05582786488321
64212.401
338826188931376982445932617761819279136394660834014127540
50040724196449
64212.434
338826120140327536544663517175889923410388090435184137301
5662311601990431
66216.935
338826120933874886277670576924053923517473790871014288843
8294228909663991
66216.991
338826114940325485955328060273350240653728416717653632264
14939903636487729
67219.826
338826141556703658947887908869543702155661989117408678753
52096922097477737
67221.302
338826150327612586685559866834721027978382058464401592294
30175583616738463
67221.579
338826196287677516591519147309155479486803242367811205684
080888999799828407
68225.837
338826110008150019234461590268303196013328110232202053689
6006115416614779727
69225.892
338826124060824840776715536111083679268417388008203511929
56670795311225062711
70230.480
338826156637636115415564214623380097046156468232402560662
679670718954601366449
71235.037
338826110725037639573611490143491430473415950609461262448
1434472353021933636289
72235.958
338826111147613944712019806126286266053216972479176332117
9887777706816745789929
72236.014
338826125829234806422682802384844726855675667576728298801
80243991711783025995319
73240.548
338826126800236407410736245039266480593811953279282432733
33044923141222981452097
73240.601
338826171844342186314472225431156105748466964410301787310
74521648275409775331007
73242.024
338826162096660547077493212469894791604457536866018572453
336147525742482671270367
74245.135
338826163086034975725357739142616694641220885871058095029
136017997022610896019223
74245.158
338826117272264402746868460354851548105271350284206930195
0853344081624400904915751
75246.611
338826114617155011608169470106298496417008535134181602742
39993154096469492424702153
76249.692
338826140657800911053186141432251560923537468513562041937
04599688458915898596255809
76251.168
338826130160422071195376393496352645644980424943461199879
563199134327475877467832431
77254.059
338826169882275023280170544232973509195159019365556110516
1204042550938230624594774641
78258.593
338826119437842882911292173772583214807263478357041045245
91450104868364755199859720873
79260.069
338826177838623725716990592634885176872499760845714467109
1400647775643160005462861381207
81268.715
338826121650911303309761266027345678684350619814762442927
66350739694737628764433253666271
82270.191
338826150165575754576013780990520008017990199044393662800
901612176170940033998290464602881
83274.725
338826152142145381640971865707330746882872466874066757603
377917470909132974330775454438441
83274.781
338826112535613719207048098868940311471961067237902091587
00486549844482418491903581833597313
85279.368
338826129508029463255116906164721461262636466422765663782
902020655332073638938310565032010967
86283.925
338826114107315881295965582485286437953475235287296986372
782345860109768414107017480083695229999
89292.826
338826115713484603903001750970465526135464845476579876605
620559721979307625858803437796575035480073
92302.947
338826136408444486350865183596362069119456716317892142859
2078346575249470891217084923769721574036503
93307.482
338826110127054725982038798128894414051715251202723451316
51819127753079269610458956492102019012691359
94308.958
338826173498670005301621530302605470734849536725762695836
16226645697379574928689483338600937799981702902700
617
103341.714
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2019-08-27T22:19:05alpertronManual testing30000000100000000012-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--12.62--9.015%
2021-06-08T03:01:34Jocelyn LaroucheManual testing3557673737943496-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--1.125--5.157%
2021-08-04T02:32:48Jocelyn LaroucheManual testing3557673805708716-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--1.181--5.239%
2021-08-04T11:40:58Jocelyn LaroucheManual testing3557673839591326-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--1.209--5.277%
2021-08-04T20:39:36Jocelyn LaroucheManual testing3557673873473936-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--1.237--5.314%
2021-08-13T15:48:15Jocelyn LaroucheManual testing355767323717827012-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--2.480--6.254%
2021-09-16T05:28:18Jocelyn LaroucheManual testing355767335576740512-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--3.464--6.641%
2021-11-22T08:05:10Jocelyn LaroucheManual testing974593423717827012-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--3.371--6.798%
2021-12-17T13:24:49Jocelyn LaroucheManual testing9940000724077900-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--7.439--8.036%
2021-12-17T15:20:31Jocelyn LaroucheManual testing99400001431693900-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--13.31--8.791%
2021-12-17T16:01:17Jocelyn LaroucheManual testing99400002139309900-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--19.18--9.237%
2021-12-17T17:13:30Jocelyn LaroucheManual testing99400002846925900-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--25.05--9.555%
2021-12-17T22:30:09Jocelyn LaroucheManual testing99400003554541900-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--30.92--9.802%
2022-02-01T06:54:25Jocelyn LaroucheManual testing1000000010036460280-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--84.71--10.963%
2022-02-01T21:23:16Jocelyn LaroucheManual testing1000000011052583080-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--93.15--11.070%
2022-06-04T15:56:25Jocelyn LaroucheManual testing2371782716649990280-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--141.6--12.304%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-30T14:47:00markrManual testing??48.888152.90087e-60.7686.26275e-6
2008-09-07T19:48:00Will EdgingtonManual testing??34.233114.35547e-100.7689.40339e-10
2008-09-07T19:48:00Will EdgingtonManual testing??38.767121.01619e-80.7682.19393e-8
2015-07-16T11:42:00TJAOIManual testing257258*57.789180.0040.7570.008
2022-04-24T06:27:46LordJuliusManual testing2126234.233111.11102e-90.7682.39867e-9
2022-04-24T06:27:46LordJuliusManual testing2126257.789180.0090.7570.020
2022-04-24T06:27:46LordJuliusManual testing2126238.767122.09694e-80.7684.52726e-8
2022-04-24T06:27:46LordJuliusManual testing2126248.888151.39678e-50.7683.01553e-5
2022-04-24T06:27:46LordJuliusManual testing2126232.757102.08014e-100.7684.49099e-10
2016-07-28T13:17:31TJAOIManual testing262263*62.346190.2720.7230.553
2022-04-24T06:27:46LordJuliusManual testing26226362.346190.2720.7230.553
2022-04-24T06:27:46LordJuliusManual testing263264--0.579--
2022-04-24T06:27:46LordJuliusManual testing264265--1.103--
2021-01-20T02:26:27Jocelyn LaroucheManual testing265266--2.205--
2021-01-20T15:08:36Jocelyn LaroucheManual testing266267
skipped known factors(?)
--4.411--
2019-06-18T03:32:25Seth_TrManual testing26626766.934210.6380.7231.296
2021-01-20T21:14:09Jocelyn LaroucheManual testing267268--8.822--
2021-01-21T03:09:29Jocelyn LaroucheManual testing268269--17.64--
2021-01-21T22:38:21Jocelyn LaroucheManual testing269270--35.29--
2021-01-22T11:42:06Jocelyn LaroucheManual testing270271--70.58--
2021-02-13T19:37:38Jocelyn LaroucheManual testing271272--141.2--
2021-10-31T00:04:03Jocelyn LaroucheManual testing272273--282.3--


ECM factoring results:
Total ECM effort:0.439 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.439


Lucas-Lehmer results:
No L-L results for M3388261


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-05T03:16:04ATHec2-1xd
7257655063
20187259039
467742654529
520996840389383
249080237963113951
5863188803647249609
0D6FFE24E2D343__no
2017-11-21T01:52:52Oliver KruseGTX-3
7257655063
20187259039
467742654529
520996840389383
249080237963113951
5863188803647249609
0D6FFE24E2D343__no
2019-06-19T03:58:48Niels_Mache_NextcloudSuperDry-X
7257655063
20187259039
467742654529
520996840389383
249080237963113951
5863188803647249609
140958277545634306337
0D6FFE24E2D3439Eno


P-1 factor-bounds graph:
B1 = 23717827, B2 = 16649990280 (P-1 stage 2)
B1 = 10000000, B2 = 11052583080 (P-1 stage 2)
B1 = 10000000, B2 = 10036460280 (P-1 stage 2)
B1 = 9940000, B2 = 3554541900 (P-1 stage 2)
B1 = 9940000, B2 = 2846925900 (P-1 stage 2)
B1 = 9940000, B2 = 2139309900 (P-1 stage 2)
B1 = 9940000, B2 = 1431693900 (P-1 stage 2)
B1 = 30000000, B2 = 1000000000 (P-1 stage 2)
B1 = 9940000, B2 = 724077900 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 23717827 (P-1 stage 1)
B1 = 3557673, B2 = 355767405 (P-1 stage 2)
B1 = 9745934, B2 = 237178270 (P-1 stage 2)
B1 = 3557673, B2 = 237178270 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 9940000 (P-1 stage 1)
B1 = 9745934 (P-1 stage 1)
B1 = 3557673, B2 = 87347393 (P-1 stage 2)
B1 = 3557673, B2 = 83959132 (P-1 stage 2)
B1 = 3557673, B2 = 80570871 (P-1 stage 2)
B1 = 3557673, B2 = 73794349 (P-1 stage 2)
B1 = 3557673 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-06-04T15:56:25+00:00