is 2 1667 - 1
has 502 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
Actualunknown10000000001000000000000.188852.2683%0.188852.2683%-20.2317%
PrimeNet2400.000172.5000%500100000.00001.8529%0.000173.0095%0.5095%
GPU722440.001475.0000%500100000.00000.7166%0.001475.1791%0.1791%
Difference-44-0.0014-75.0000%+999999500+99999990000+0.1888+51.5517%+0.1874-22.9108%-22.9108%

Known prime factors (7 factors, 406.1 bits, 24.35974171% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
166713337513.7034
22
-446.551e-131.181e-102.403e-10
16672493833721.250748
22 × 11 × 17
-11171.947e-103.344e-106.609e-10
166710975529823.3883292
22 × 823
-48231.148e-91.435e-92.468e-9
1667137507497927.03541244
22 × 3 × 7 × 491
-74912.067e-89.852e-101.488e-9
1667413712308716571445.23412408887484
22 × 32 × 7 × 1723 × 28579
-1723285790.00399.407e-81.035e-7
16671498849352629768550813030412786.95444956489281036849154560
29 × 3 × 5 × 1735578899 × 3372770633
-173557889933727706331.660e+100.05390.1043
166756000505456850077558816625291676553268181534300766
8219881
57188.51316796792278599303406963594868529260128428774535322
9820

22 × 3 × 5 × 7 × 6529 × 1124827101561895931 × 54455859960308303546070911429
2019-11-021124827101561895931544558599603083035460709114299.802e+138.759e+161.636e+17

120 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1667332602507211134.953
16671463806302731237.091
166718339374874891340.738
1667273711364126571444.638
16673429207337660011548.285
166715092175210409131650.423
16673650488463356064091858.341
16675517681061352894091858.937
166745735338262371553371961.988
1667201284340781226566812064.126
16671031729407983569912812166.484
16674540711441975666815532168.621
166737637364581500231895292271.673
166756888544049706823125292272.269
166713760175114276871927146972580.187
166760559468501629468318723612582.325
1667501969531423468592787482732685.376
1667758722511990939900021992732685.972
166711323776037476503101573626492889.871
1667141870528473112515835011336572993.519
1667624381864985334678709491028412995.656
1667199901538160232231621933865781731100.657
16671510252010118241218656874564971332103.575
166718921272382459016236915461958340933107.222
166737378799776167535943797120664615333108.204
166783273809333094086099484818459041733109.360
1667164506645364192509927363888428368934110.342
16672061030228601898411116171266639837735113.989
166715571040995019721378101261398527955336116.906
1667498521052614746426882422198303974256137121.907
16672194025129222235504901252179969156019338124.045
166727487960158863519109056376183175515404939127.692
1667207670973750578024019736523272167339836140130.609
1667410252100928520299609687667970984498993740131.592
1667620092426094797897276587337851379480893740132.188
16675139865198084958120289074738398226370904141135.239
166722620897043896765466259460105972271231643342137.377
16675471532270083675235894404427729020263078976944145.295
16678270172686826319555977845324923848136679276944145.891
166768550382146859086450295389786017145108747981745148.942
1667301694903874451161023502419433352181416426692146151.080
16671546406955245268124558963630515919244975578552147153.438
16676805842405283811070698205347620613182553750267347155.575
166756412739537672202313018228174457147082422705768948158.627
166785267357420953143575366641529836550414852010068948159.223
166720624429562106140977242897940190814970239291149357
7
51167.141
166790769520159270188249901964721216118015719367314980
1
51169.279
166775237670721393416224872410916273497063827162683981
93
52172.330
166711372107459232520758646648980834300728828812582889
193
53172.926
166716972634383096142413872517536672756634887566690351
5609
54176.825
166721264254975916784090198731774627687403072163282615
50937
55180.473
166793585435412703643495260025974332542433817026721950
39481
55182.610
166722636402476735325137381776638660455523949547694921
87677233
58190.529
166728360136861380214941098048567820946689477344170024
304846769
59194.176
166712481489520992284932962829664196731184398176853906
5241558097
60196.314
166774687874127800948440193733151509019093773712296932
71048552897
61202.217
166723338644715156896536871479635564764729535321720108
171894020673
62203.860
166713965590852497279946873634110101761386644896022988
42259790493873
64209.763
166761463517165631627489904107657092946901497120698256
09769682292049
64211.901
166777004893361062956693687444258453377734948125233180
908722281947857
65215.548
166731126750456604752911225492389952726719781258578108
2688550553715801
66217.563
166718625908519975622265145365812642719161368297825859
659218825816784201
68223.466
166781973892843802901583285108382264863282526709875264
157498252729057513
68225.604
166710270142627564966534237094440749926988510031462349
33779629074338568809
70229.251
166715327974740371861847803003051081107505020126900229
409888756099427433817
71233.151
166723168098401848322192052091874511909227320993293932
250128422481166812817
71233.747
166719203734422529971648028864017739156235687888799463
9245141614556870065881
72236.798
166784516944022625395201731066139453854247787746199240
8825927758464880991353
72238.936
166720442919911233952146414865169226873079445343246835
9639686340098063684817329
75246.854
166730899292838545107307539874933036533336478008756117
4419962770631321782540329
75247.450
166725612020599328223186976095940458712671536937291845
03612453713344976068654897
76250.501
166711272024824297548958054872291018960541027451710592
756511398514646117781674961
77252.639
166757777368341776606877171844435689658124097594669186
945134514221475676307857561
77254.997
166725428213588433991382021130387936982056982915420635
8935319754666298307910555193
78257.135
166721077114406277595719211858986375262370032325846729
14879589899675749557308826049
79260.186
166731857872214878629582786364472781707345401138034024
09002737303943778069933189049
79260.782
166777057676157427460592084088923879297040108962010294
6287259016171821094917896291057
81268.700
166733913608462894414306201581598391552969398114296502
09120359567984420532603074609041
82270.838
166728110547483652429410712856330128687422912112981782
665749090491975471845827813015513
83273.889
166742488844172983628274562174297348963086561497795977
928869507422698168118698942346513
83274.485
166783936321350939559876539715528649754551616324901478
727924348694869735366850381958121
83275.467
166763413718177885106030199901658740047774111874912190
6722745269738718708111503588624769
84278.385
166779448213039247417448328867672250623574303756266804
39850523378906023895475694645634817
85282.032
166734965700037269463046612964407558533963896320712543
438679404358816750576115744469781921
86284.170
166711194587178574809100734101860056017764549069252110
21794327038543477660587683544175459777
88289.171
166784574875933845365912477608842261601716333007570388
69961253662505291410083123361488544153
88292.088
166710596008173044428065083621081448065666104891973303
7026286430304469640693959339488831554329
90295.735
166720932316808357765542559066839595920334272099437802
9400495762278773076759118588589766767793
90296.717
166746633754139706282865267710630360816747648522934319
1841667215933539002433655683993481480377
90297.873
166792124552914055631667219806743644571192414697082960
1921216798906654931741192005842433821009
90298.855
166711541873456355357476904605303436659538057118141541
111475621194386754051347972796555177533137
92302.502
166787198616621043816837923948867394921430785453171524
341312175010361053539486455378309657393193
92305.420
166727917430927306751904111027443969078949818699020197
78114411981511996524736364616021719382055241
94310.420
166712286651622147599595457105625399876459932348149954
400823268447018056824632277781920539870797033
95312.558
166715393396628741140266947672093193472825906778465373
3803750359869536138782827913187656402759448169
96316.205
166711629679498748613851673917060444460671223855889486
20140080478113185371056130855380515900653015041
97319.123
166722974325016731809808755777231092337191049312127048
98647993853267779988388932083506054263148337497
97320.105
166734725489291273133075470201185753194035547249524520
34707713896002009652225170448239977645299876497
97320.701
166728783504907283050202701442557685354965771597106273
894654582830061102016135269043151588052995644121
98323.752
166712667816683455846029313332574142285642307250381891
0573692913212006456306437164519802451115093604473
99325.890
166730640857274815214741937580093107850111702467583845
23326829402103238170514318719772024570760937719748
9
101333.808
166746313385067770977582754607321439034885209366690852
78689678023097880273172709826817658185536445284048
9
101334.404
166738388560494843404055342913939184957917849579060637
49330081712045249175891960832285127298628029056417
77
102337.455
166716895067110725061849295191654133566361145179834328
10321342383508530107758952463200605290522003402856
401
103339.593
166786599571135723551276999078233670445141250903923483
15071242268408379737037653494445648171111126904143
001
103341.951
166738113061475555771899068238175006856797977586802660
92804352038927304099627727278460087360534050818924
1913
104344.089
166731591419283152742870820556113370978630212017141622
52127243188342376969500511133059125060717072289237
15009
105347.140
166747750151145432724725558194631393537715834313073512
33052148644313546542473236687358473813411398315115
98009
105347.736
166711549784802371450033813367064024627268488633056274
94781051581337625605528711846554216096581090995205
55204337
108355.654
166750831390089948732981787309254006644911462707518708
87973164314317345477673499871282218512744263577199
19393681
108357.792
166742133475897940813166813375688402874199113767261781
95662104240292228164222831698160955093478359312155
587075033
109360.843
166763684376582663624966476964179889561251608223346143
39521650646920977023696555769929996524946781932870
182646033
109361.439
166795047610438769677302369041612691874709070839228840
31016555658294195564686914002023955042582713555910
1727622529
110365.339
166711908090268146792820051296919219204034249223247505
64757613901009438471465565926774524482552118769438
062997578497
112368.986
166752408316865108008777438100636450408361273326233341
37154961595797401516976474098596686273483739113810
657784121761
112371.124
166712676499804218711861816959079884715329948777827950
43216678028146696862462293720449934884029256506951
739741301669273
115379.042
166715881819990627377584102414701162652420478189045198
28217229659776288089393625276539183302379760802799
5446198704414489
116382.689
166769896972202994551306469194818833909631430235197407
38723572280314994403191523505298400482945262856089
2742866831926457
116384.827
166713069759007266290085346479082450103123481934298047
24126356934133222121728599133072566991946077356541
1774133749723599913
119392.374
166717431137587991051086826599152263702535787855773305
60567322243053478343749432663778882597158483370418
96831621820063652039681
123406.077
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-07T20:58:13kkmrkkblmbrbkManual testing100000000010000000000012---0.189--44.411%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-07-22T19:10:05ViliamF3100000000022100000000027--0.457


Trial Factoring results:
Exponent "1667" not found


ECM factoring results:
Total ECM effort:46,699.744 GHz-days
Estimated T-Level:61.744
DigitsB1CurvesCompleteFacMiss
2011000164747 / 1001,647.4700.000%
2550000164747 / 280588.3820.000%
30250000164747 / 640257.4170.000%
351000000164747 / 1580104.2700.000%
403000000164747 / 470035.0530.000%
4511000000163319 / 970016.8370.000%
5044000000158569 / 171009.2730.009%
55110000000146002 / 465003.1404.329%
60260000000127048 / 1120001.13432.163%
65800000000125584 / 3600000.34970.550%

ECM Summary

B1B2factorcurvesGHz-days
1100000011000000004,75022.20
44000000440000000012,567234.9
1100000001100000001,42845.24
1100000001100000000018,954885.8
26000000010.075
260000000260000000001,464161.7
85000000085000000000125,58445,350


Lucas-Lehmer results:
Exponent "1667" not found


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T18:22:01Oliver KruseOliver-PC6AA1928FDBF7A1__?
2017-09-21T19:20:53Oliver KruseManual testing6AA1928FDBF7A1__?
2017-10-02T09:48:53kkmrkkblmbrbkManual testing
13337
2493833
10975529
137507497
41371230871657
149884935262976855081303041
6AA1928FDBF7A1__no
2017-12-07T02:30:19ATHManual testing
13337
2493833
10975529
137507497
41371230871657
149884935262976855081303041
6AA1928FDBF7A1__no
2019-11-02T20:00:13mnd975204b
13337
2493833
10975529
137507497
41371230871657
149884935262976855081303041
56000505456850077558816625291676553268181534300766
8219881
1E52297415B7A0F4no
2019-11-05T10:55:33Christoph ZengerManual testing
13337
2493833
10975529
137507497
41371230871657
149884935262976855081303041
56000505456850077558816625291676553268181534300766
8219881
1E52297415B7A0F4no
2019-11-08T01:03:30ynagata.orgMAGI-1
13337
2493833
10975529
137507497
41371230871657
149884935262976855081303041
56000505456850077558816625291676553268181534300766
8219881
1E52297415B7A0F4no
2020-04-17T12:30:44Oliver KruseIOS-1
13337
2493833
10975529
137507497
41371230871657
149884935262976855081303041
56000505456850077558816625291676553268181534300766
8219881
1E52297415B7A0F4no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 100000000000 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
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
1025
1026
1027
1028
1029
TF factor-bounds graph:
210
220
230
240
250
260
270
280
290
2100
2110
2120
2130
2140
2150
2160
2170
2180
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Last modified: 2021-07-22T19:10:05+00:00