is 2 4149641 - 1
has 1249167 decimal digits
takes 0.518 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
Actual2677.160667.1642%1000000000251003363688024,902.495028.5258%24,909.655676.5309%9.3667%
PrimeNet2610.074063.9344%170003400000.00632.8286%0.080364.9546%1.0202%
GPU722651.758266.1538%220004500000.00821.8707%1.766366.7870%0.6332%
Difference+2+5.4024+1.0103%+999978000+2510033186880+24,902.4868+26.6551%+24,907.8893+9.7438%+8.7335%

Known prime factors (7 factors, 310.8 bits, 0.00749022% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4149641398365537928.57048
24 × 3
-16168.707e-122.894e-65.889e-6
4149641522854767928.96263
32 × 7
2008-09-07998.735e-121.628e-63.312e-6
414964162078629371032.531748
22 × 11 × 17
2008-09-0711171.602e-102.048e-64.049e-6
41496411418868820680891547.01217096284
22 × 43 × 99397
2008-09-0743993976.752e-60.00100.0018
414964189542846398238571652.9911078922808
23 × 33 × 911 × 5483
2014-08-3191154830.00020.00020.0003
41496418521136983512101111859.564102673182855
3 × 5 × 67 × 9887 × 10333
2015-11-299887103330.03060.00180.0036
414964126252830903282681211961.187316326531660
22 × 3 × 5 × 41 × 6373 × 20177
2016-04-086373201770.09230.00130.0023

120 Composite Factors:
exponentprime factorscomposite factordigitsbits*
41496412082873200289648791857.531
414964124729986525204021691961.101
414964132458107294930706791961.493
4149641565228439683099450487932375.581
4149641741862326640671522302632375.974
41496418808143164369796135173932479.543
414964135670784089942823792162092581.561
414964146817904090067816727763192581.953
4149641555869717429109160786880092685.523
41496413394527310287358304683446072788.133
41496414455317092089302467549491372788.526
414964110458223080556400363021459772889.757
414964112930191342548688388187896232890.063
414964113726417785026265819189828072890.149
414964152898050461044752571765560072892.095
4149641162973975955816788317545313772993.719
4149641127049552869478838578484059927331100.003
41496412955323841322805170226946764623132104.543
414964112090375582656131318369944724787933106.576
414964135088606816470531039690872128504133108.113
414964137249323223275522048605017009076933108.199
414964146053796419092124600938656746243133108.505
4149641186506395040543621771729659931830334110.523
4149641763006860052974015917131783741812734112.555
41496412214393384856853302684848296074583335114.092
41496412350753205091571855429226930836269735114.179
41496412906391315887527092807897261138890335114.485
414964117748447858954334294407782036869156936117.095
414964154681317920183389421663007640432235936118.719
4149641210727602781671904392835183753913075937120.665
4149641223703968331851454808143553121417143137120.751
4149641276579978485637966824831326890243536937121.057
4149641649232154486640431517342654418195444937122.288
4149641852117202254421891504584770431552415937122.680
414964150612163354459828440454119178879045460139128.573
414964166428464363025539556383894366502478439139128.965
4149641788706210420859680517176961267972584480140132.535
41496414816388961516497638984960994950448994602341135.145
41496416321510508212160781587720268881856578919341135.537
414964114838846648726724239847877701715053142795342136.768
414964118346245341380311269123838698775805264044742137.075
414964119475986214813412057526738843311939434582342137.161
414964175055394473980777627113727111749469596062342139.107
4149641231238693066105489064861397642903080092855343140.730
4149641303955637539686842297874750530075085588919943141.125
4149641398941774032399336749406230096619867416140943141.517
4149641936459062900775156362150351797452438117328943142.748
41496411157806137285671361928466830274423265943591144143.054
41496411229102519322657016134206131912522909142659944143.141
41496414736642007199603250036010463635498237525899944145.087
414964114593153695921928612391420090500741085966108945146.710
414964189115951473548998998877338512301366412037344745149.321
4149641110179931652879615441762116471054406637947815346149.627
4149641116964686239125571082322927169850683065356157746149.713
4149641339454126863020387433779650034987099903650838346151.250
41496411388723573867122362893004809197936143566915284747153.282
414964126462810878062032010093611857463034635222993296748157.535
4149641108260664369479212039647146948005683054197684930349159.567
4149641314193373049540762630873637899544099517692902313749161.104
4149641333541042782010090027287816951108592737786167603349161.190
4149641412378801881051560196502999581533830220730501636749161.497
41496412518271928255080339687531897518905185618169824164150164.107
41496417758561707068742249098914211174719611368854310195150165.730
414964129899482524374185007102745660943536465100531224955
1
51167.677
414964131740658572864923709638830667230932244290986056535
9
51167.763
414964139243070789786307048703360671515351888022737983984
1
51168.069
414964192117526138457289649971138502585619740144311447796
1
51169.300
414964112090425298446310108242915395187443914553219624621
51
52169.692
414964115892465404414941718262104728358553536809977209616
33
52170.087
414964148963208513802313849912068980802502572541792067186
63
52171.710
414964118869149367748278148875405776837742276545586650717
463
53173.656
414964120031090075015400164563366538258587496155462041629
367
53173.743
414964124765758530367608797900209925737004039105150486798
233
53174.049
414964158134095085994738017509729185449163216088521357489
793
53175.280
414964176300999754764488348225492642178838938301368388061
263
53175.672
414964146594700043685768534641244089429457569147411858417
1849
54178.282
414964155321961224813536673858073435971837112374330282302
33839
55181.852
414964172610074064170155201091147544306635922555804009055
71649
55182.244
414964143127317697524352714510900984460195008937260861415
7670711
57188.137
414964156604604444169255322333303779714272527978378926171
4177401
57188.529
414964113287125661939542345313885585328607729130248684846
06074721
58189.760
414964116427750285876171490236774295040849955954813481678
33744079
58190.066
414964117439352420872491741286659517391053364761307875804
63699311
58190.152
414964167206736587428647441288969809631714589752277055001
27982911
58192.099
414964120705770774547718082404333574824273739191301092957
961888921
59193.722
414964112644384497112988962054304854803518626507593844671
4361632783
60196.332
414964115633086968702236322703599427612893758616141885200
1233959617
60196.638
414964116595754642541842208675986462667483613781550594790
3268216353
60196.725
414964148164087665739495919387171178494133106783754508412
8625290087
60198.262
414964119704165795045947380439944655512188469929224218355
30002199383
61200.294
414964179796959544288801698261738815412132527674560716967
99139925079
61202.312
414964198658246961622232861814415994789517348092922731391
89499696121
61202.618
414964110473350933928189574454540668096790351051477501553
466983142489
62202.704
414964130395688740943623709371091373491122023692934485744
849423893231
62204.241
414964112435026166439665238581662392080147783935512279834
1298490070879
63206.274
414964128925351146182916336056017977433944311952433276534
23336245860513
64210.814
414964122549323646074071915371414653190005882172454445313
7601820862629337
66217.098
414964169472369920731201810457251895816478126487952887672
4352285033045007
66218.722
414964126772847710668560587132756430390725754777400545988
36337481067338207
67220.668
414964128421489151689781234499065513415997537771744603818
74338216195969663
67220.754
414964135139362599250380587040290489485024487635427407312
14034975110886737
67221.060
414964182484654936016076460216125956620014887479406056248
85406305548515577
67222.291
414964110826110953881556668357204631055022711849086501385
380504226669336407
68222.684
414964166111767100964240164284754062052625622427880033863
179467062495026561
68225.294
414964178494605880805107678827018489433929698685637577385
1435005768389863671
69228.864
414964110302417015698118571894187620350720568104931035178
91751621467886008761
70229.256
414964141722220689837547592653845753347166561730403495497
65208951327578001593
70231.274
414964149536858764027886208678170571737126189868303227262
174082274374880897023
71234.843
414964165017127088927143878766145004837283148951686160983
127608503461253030193
71235.236
414964111322141788252574158893743159250144563525118822527
10595810014529552036704031
76249.324
414964113998311051688093660010680561479694633475036899338
41851704796830029531182769
76249.630
414964114860311088199788223644981260734856766684219224013
15638131308339344486933521
76249.716
414964143127495037646085565860487306691209991529576070838
38348515587899919208205559
76251.253
414964117643670911912256384728485456187004737761647089187
612570803725653199714080231
77253.286
414964141041278868565184347823011585597669274500659241770
1536742556675138134862469657
78257.826
414964125900582746977708425140938252271871899253189444575
512077701007108422065711658641
80263.805
414964159198358066377629989986090572875782304782427005997
2433690676323115544765261576465777
84278.286
414964170286304374752057115840417079506261147799627206887
10175516176691437579867817683399047
85281.855
414964192250774436725603364814746214575450705902620903534
17389993852979135659309885798811177
85282.248
414964136749529297152067506073433281288066647473926645943
81638350039668732426716831705652088487207049
94310.817
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2019-08-27T22:14:33alpertronManual testing30000000100000000012-
skipped known factor: 398365537
skipped known factor: 522854767
skipped known factor: 6207862937
skipped known factor: 141886882068089
skipped known factor: 8954284639823857
skipped known factor: 852113698351210111
skipped known factor: 2625283090328268121
--14.98--13.599%
2021-09-27T07:37:11Seth_TrManual testing1000000000251000000000-
skipped known factor: 398365537
skipped known factor: 522854767
skipped known factor: 6207862937
skipped known factor: 141886882068089
skipped known factor: 8954284639823857
skipped known factor: 852113698351210111
skipped known factor: 2625283090328268121
--2,644--24.603%
2021-12-19T03:44:34Seth_TrManual testing10000000002510033636880-
skipped known factor: 398365537
skipped known factor: 522854767
skipped known factor: 6207862937
skipped known factor: 141886882068089
skipped known factor: 8954284639823857
skipped known factor: 852113698351210111
skipped known factor: 2625283090328268121
--24,902--28.526%
2022-03-18T19:34:37Seth_TrManual testing2000000000200483100090-
skipped known factor: 398365537
skipped known factor: 522854767
skipped known factor: 6207862937
skipped known factor: 141886882068089
skipped known factor: 8954284639823857
skipped known factor: 852113698351210111
skipped known factor: 2625283090328268121
--2,317--24.432%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-07T23:38:00Will EdgingtonManual testing??47.012152.23366e-61.1244.85160e-6
2008-09-07T23:38:00Will EdgingtonManual testing??28.96291.17515e-131.1242.55248e-13
2008-09-07T23:38:00Will EdgingtonManual testing??32.531102.23240e-111.1244.84891e-11
2014-08-31T10:35:00TJAOIManual testing??52.991161.08906e-51.1242.36488e-5
2015-11-29T11:31:50TJAOIManual testing259260*59.564180.0121.0870.025
2022-06-21T17:31:13LordJuliusManual testing260261--0.037--
2016-04-08T11:05:56TJAOIManual testing261262*61.187190.0181.0500.037
2022-06-21T17:31:13LordJuliusManual testing262263--0.237--
2022-06-21T17:31:13LordJuliusManual testing263264--0.473--
2022-06-21T17:31:13LordJuliusManual testing264265--0.900--
2022-06-21T17:31:13LordJuliusManual testing265266--1.801--
2019-06-18T03:32:20Seth_TrManual testing266267--3.602--


ECM factoring results:
Total ECM effort:0.544 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.544


Lucas-Lehmer results:
No L-L results for M4149641


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20T06:39:45kkmrkkblmbrbkManual testing
398365537
522854767
6207862937
141886882068089
8954284639823857
852113698351210111
2625283090328268121
473ED6A9D3E6A561no
2018-01-15T13:55:14Oliver KruseGTX-3
398365537
522854767
6207862937
141886882068089
8954284639823857
852113698351210111
2625283090328268121
473ED6A9D3E6A5__no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 2510033636880 (P-1 stage 2)
B1 = 1000000000, B2 = 251000000000 (P-1 stage 2)
B1 = 2000000000, B2 = 200483100090 (P-1 stage 2)
B1 = 2000000000 (P-1 stage 1)
B1 = 1000000000 (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
1010
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
267
266
265
264
263
262
261
260
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-06-21T17:31:13+00:00