is 2 8713 - 1
has 2623 decimal digits
takes 0.000 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
Actualunknown4000000004000000000.070736.3180%0.070736.3180%36.3180%
PrimeNet2400.000065.0000%500100000.00002.9627%0.000066.0370%1.0370%
GPU722440.000368.1818%500100000.00001.2113%0.000368.5672%0.3854%
Difference-44-0.0003-68.1818%+399999500+399990000+0.0707+35.1067%+0.0705-32.2492%+35.9326%

Known prime factors (6 factors, 473.7 bits, 5.43682338% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
87131603193720.61392
22 × 23
-4231.635e-118.903e-101.439e-9
8713128495951330660391753.513737380645763
479 × 1539416797
-47915394167970.19030.01480.0277
871391048527580135097228821192582.913522486672673792592843
7 × 11 × 53 × 476183 × 268865287741
-476183268865287741148,012,3152.59024.8377
8713337970708661745957503704666632994.7711939462347421932500308187
17 × 23549 × 27043 × 45389 × 3946885057
-4538939468850578.718e+110.03800.0710
8713154368477483735575755029524639931100.28488585147184514848935515623
7 × 292 × 61 × 97 × 2543110939209051437
-84125431109392090514372.042e+1324,499,34245,757,948
8713407812110181563405007886025553031267937121.617234025083313189145534193748165403
239150519 × 978568159884232346299837
2017-09-122391505199785681598842323462998371.554e+139.427e+121.761e+13

57 Composite Factors:
exponentprime factorscomposite factordigitsbits*
8713206003809701655422625272374.125
87131459683620767795269315655300596732103.525
87135418322743315504868482367956085495935115.383
8713247482462522582488901433048696015200737120.897
871311699367168665329665468070920371623925664142136.425
8713653801520358311179964807820964440857478404743142.230
871343427867731388510464513413550858226642695785745148.283
87131983572436973823080765328593771449012384394356147153.797
871318756343549234075862370753023043344876257205471348157.038
871369623253551887940257134653010841052945983384763740
1
51168.896
871331800494459493743463214094442342306565115743409390
273
53174.409
871352402205061944083792645203662682599986461557626008
481
53175.130
871330771735388866780608892497926581156118434844336829
8897
54177.684
871314055022579681362324084383939284582031733280883536
239481
56183.197
871352172023730212886963578636005534147828043963138848
200296537
59195.055
871384010848339873321527782241995587105520095263955113
414679833
59195.742
871349333030773283500604712190428409423420981913396895
3213578121
60198.296
871322532913814587102308435815740773466921200573779519
114382262833
62203.810
871337130692161379168774344471934544556920746096298614
509128086801
62204.530
871383641823240111188889800524193620307058885285396459
462778006042641
65215.668
871313782854787890500787111096784926742337652270684963
4156483535720177
66216.388
871362953334548157362228553650567432486228568086654688
84521103818792921
67221.902
871359527665758277953724847636994158291843441696363264
690732584862755593
68225.143
871339540434128877858113074919120224046665952704033704
72820232067391858983
70231.196
871318060134973500691764650384603405474140786563210800
2836800447895692085759
72236.710
871322096576315962535628391000587917058828527756796238
5532235309081837725161
72237.0007
871310092634527426404602328161271415378989423675654819
057382041994562079396753
74242.514
871367038938220594940565619871832167791653970569924739
1433037917388253804006943
75248.568
871363390947212378079981874918809109350046528713437907
18432086308818156578532719
76251.809
871328953881968571494532245144043487432304190032633612
5391938620463238282044228487
78257.322
871347711436128423109143004762076226776776254589372191
5462588912435299449257251239
78258.043
871310747635648269026455021781918222857840510403990935
23213706357891426780807302968999
82269.180
871317710410380223373219833291915936664582402143717714
07003019043974678045313965768903
82269.901
871380892486122028097107036678600487461787852068579526
044492773565414120791542758709919
83275.414
871347501859415117508138027570208943272224834476714322
1928106971721605330168030094921903
84277.968
871376490640421035029616301233527272234940253923899371
8816214306293885029953080385606127
84278.655
871328393205948701450382424194766586249101855039993233
17307391110166896019501032722944907279
88290.513
871312968626750343259108532145387555129532605192138221
6097848503130656960554155809964431171367
90296.027
871376154648501300483224328834365986391427949059227064
3392587600315275614088074671968130436279
90298.581
871312549086342882453364223852812935901556543375165512
18094287824670344364195805761106740815063
91299.301
871357318084168693772540890266581410302170991583499633
648657979114573763960396020317807754679599
92304.814
871321276383089860718456418179744616113155572380131241
7405894359382715324869188465821510520130892623
96316.672
871320118607381304749056350131262729146824139443261722
96990235580496723392268166425565999127523296159
97319.914
871391891951312660675281147489151450926568418509725528
168092931510630856364959177001367167648050359607
98325.427
871361037966155208113448740190349658046656235557847341
21241419590970218737779500674304979343336646552217
100331.481
871334110148434983074804300430839310340298221550819745
83982079957018535298230088640857849153002061369452
39
102337.285
871397855640074266561024226131987239332792950252691952
50035395198306317888876931024541022748381908395988
428881
106352.093
871316125067879592787105302790976532949909784035183305
09576483789287694294525781003839766428738370594506
4945457
107352.814
871373651417537071707956924898099639021936720254006592
57522613327187664110377428442264522305464009911029
53038361
108358.327
871327339290860072286058834562704528179072937483106031
06155359516569359580362913109418854763276603104685
327876930297
112370.185
871325851595949087999137711697374040789564716396717628
44639451775599506479123670424888886660188354568518
6505102044201
113373.426
871311807743703551060269458629815905458249579635418159
11704545102785397278810832063663938630846376244129
316590429086673
115378.940
871343830159731831868503521159085960644992479862353207
25566529289447381293720759756628542024501707161209
784854999513638321
118390.798
871319371833525627036231325838774901907934390621129015
41104975781000550305450395294305212677136910988552
453035455923675708137
121399.585
871331056787905450585096807965443051314487059503059689
60388709437269615245845935583063056827497155738470
372839271688645429555281441
127420.198
871324892021778946269204545804390480276581301555567832
26131357014250057657083855808825200208750897375314
3263704378528745407221267317310659343
137453.098
871339906715071854206164843401778187246053206584775459
70651208645746592685433238045717899198267977415822
3008368013726634935639285214241227884082199
143473.710
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-27T06:11:54Seth_TrManual testing400000000400000000-
skipped known factor: 1603193
--0.071--29.999%


Trial Factoring results:
No TF results for M8713


ECM factoring results:
Total ECM effort:801.814 GHz-days
Estimated T-Level:43.211
DigitsB1CompleteFacMiss
20110002,266.5000.000%
2550000570.7050.000%
30250000137.6480.000%
35100000026.7740.000%
4030000004.4321.189%
45110000000.64252.616%
50440000000.08292.104%
551100000000.01099.053%


ECM Summary

B1B2factorcurvesGHz-days
5000050000008,0471.024
30000003000000003,78528.89
11000000365788846622,400771.9


Lucas-Lehmer results:
No L-L results for M8713


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T18:56:37Oliver KruseOliver-PCAA9369A75D480F__?
2017-09-21T19:21:40Oliver KruseManual testingAA9369A75D480F__?
2017-10-02T10:02:38kkmrkkblmbrbkManual testing
1603193
12849595133066039
9104852758013509722882119
33797070866174595750370466663
1543684774837355757550295246399
4078121101815634050078860255530312679
AA9369A75D480F__no
2017-12-07T02:54:31ATHManual testing
1603193
12849595133066039
9104852758013509722882119
33797070866174595750370466663
1543684774837355757550295246399
4078121101815634050078860255530312679
AA9369A75D480F__no
2020-04-17T13:46:55Oliver KruseManual testing
1603193
12849595133066039
9104852758013509722882119
33797070866174595750370466663
1543684774837355757550295246399
4078121101815634050078860255530312679
C52860B351B94D__no


P-1 factor-bounds graph:
B1 = 400000000 (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
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
TF factor-bounds graph:
220
230
240
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2021-08-27T06:11:54+00:00