is 2 4021 - 1
has 1211 decimal digits
takes 0.000 GHz-days to do one PRP test
Has been fully factored.
Last-known PrimeNet details:
-unknown- L-L tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actualunknown----0.00000.0000%-70.0000%
PrimeNet2400.000070.0000%500100000.00002.3902%0.000070.7171%0.7171%
GPU722440.000672.7273%500100000.00000.9510%0.000672.9866%0.2594%
Difference-44-0.0006-72.7273%-500-100000.0000-0.9510%-0.0006-72.9866%-72.9866%

Known prime factors (6 factors, 4,021.0 bits, 100.00000000% known):
Remaining cofactor is a certified-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
402110800407823.3651343
17 × 79
-17793.587e-101.468e-92.493e-9
402121925517722091340.996272637624
23 × 3 × 7 × 1033 × 1571
-103315715.365e-57.655e-81.515e-7
4021288935837429598526666048062367931101.189359283558106936740445222659
3 × 11 × 19 × 59 × 9712203879299779429763
-5997122038792997794297633.455e+133.813e+107.121e+10
4021180597895287677844825883971022198334110.476224568385087885905030942515571
32 × 11 × 103 × 7332698957 × 3003394223576899
-733269895730033942235768994.641e+1311,79122,022
402187551917636053983989710023026011341333076282520498
1857242045041249
66219.05510886833826915441928588662400648015584814260447711
7863372549744

24 × 61 × 89 × 6871 × 337097 × 541111711519220552390604624418884502368112559333
2021-05-193370975411117115192205523906046244188845023681125593334.058e+132.124e+363.968e+36
4021
click to show decimal representation
1,0623,525.9192021-05-19

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
4021236804515084284890632064.360
40213120624641125497934593672155134703735338124.553
40211950530772450302809002391021815947674708141133.841
4021633506782410957764913019023455109705953691143142.184
4021395970235370213468553257601699727283944027044746151.472
40216842131087298785120870925052057731053950187032277750165.549
402142766397018841011372568832742009464556000573017671
929
53174.837
402152181204112968143615698530756317818691593628407347
84963376135457
64211.665
402156357824217012992908399572147025026322141866540611
856661942357022730999
71235.030
402194559634409986090106035206066029407301314641326836
62485829983957820988343
73242.420
402111440999155388786312376064264324212649549875557498
313387202870956102992114513
77252.661
402119196211217322656447023362340569136334436961579010
38664791738096257895456849041
79260.051
402112356744736485513540969063111285707656968702282033
3686395339597894391448754531006791
84276.025
402120732689400505013994902625178661928405040730089667
483302487341676990447897420580359687
86283.416
402125296886640740494064487445966804612600995272859145
60592175559187867148775133171888939548801135071
97320.244
402115811692053471472590818644008542176901245923199897
20041147796928178744521371664027451990082181576767
100329.532
402127321667155286011727754866283199830556807755195482
62162165705468155466870098973560150592544862082877
3897
104343.609
402117077270953615766687018581848036698719945477764963
21226045295397768020957983416976374066584752447698
5344169
107352.896
402155464733635525746961162195185749582743147878504551
21669732034796213689817770099655077827849597541231
833041839
109361.240
402134667953433461839619624386623047429699349532892070
91492880366557374352591058091438945195281351107693
415830668303
112370.528
402159904169741026772615956490101953609370617354903570
44926762555673726990900367290870540015745158823150
3078207909228473
116384.604
402137442800693843528686066856265426782105686259049425
29540934556112883185934493194818382375973307147298
9722191460754399321
119393.892
402145685644846487082989193480848508558300250393697261
19586110851524451817502378710474877545640011056608
368712104388925309991776465793
130430.720
402149342355839951301652606619491059777262593245384065
57006066874358065008091541354126384076807319489587
0421696793226879640512352483585977751
137454.085
402110016814157267622155598302362998694055571759742937
99988148401309186290176207148572476487466526652330
5033440584984847995415404185290620816546737
143471.716
402110818566974185232720267899402944763626865562292994
57744859791053854477272313892089221506256888672151
69346306928154447183620499270642118101377094121959
150495.081
P-1 results:
Exponent "4021" not found


Trial Factoring results:
Exponent "4021" not found


ECM factoring results:
Total ECM effort:154.907 GHz-days
Estimated T-Level:43.407
DigitsB1CurvesCompleteFacMiss
20110009870 / 10098.7000.000%
25500009870 / 28035.2500.000%
302500009870 / 64015.4220.000%
3510000009778 / 15806.1890.205%
4030000009778 / 47002.08012.485%
45110000006610 / 97000.68150.587%
5044000000201 / 171000.01298.831%
55110000000201 / 465000.00499.569%

ECM Summary

B1B2factorcurvesGHz-days
30000003000000003,1689.85
1100000011000000920.711
1100000011000000006,40973.10
1100000001100000000020022.81
85000000014182957708936148.43


Lucas-Lehmer results:
Exponent "4021" not found


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T18:33:05Oliver KruseOliver-PC4F2A81DD755A7F__?
2017-09-21T19:21:09Oliver KruseManual testing4F2A81DD755A7F__?
2017-10-02T09:55:57kkmrkkblmbrbkManual testing
10800407
2192551772209
2889358374295985266660480623679
1805978952876778448258839710221983
4F2A81DD755A7F__no
2017-12-07T02:44:27ATHManual testing
10800407
2192551772209
2889358374295985266660480623679
1805978952876778448258839710221983
4F2A81DD755A7F__no
2020-04-17T12:32:13Oliver KruseIOS-1
10800407
2192551772209
2889358374295985266660480623679
1805978952876778448258839710221983
C46519742CF0F3__no
2021-05-20T12:54:20mnd9consult
10800407
2192551772209
2889358374295985266660480623679
1805978952876778448258839710221983
87551917636053983989710023026011341333076282520498
1857242045041249
PRP
2021-05-21T19:40:26Chad SteenersonLaura072713
10800407
2192551772209
2889358374295985266660480623679
1805978952876778448258839710221983
87551917636053983989710023026011341333076282520498
1857242045041249
PRP


P-1 factor-bounds graph:
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
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
TF factor-bounds graph:
220
230
240
250
260
270
280
290
2100
2110
2120
2130
2140
2150
2160
2170
2180
2190
2200
2210
2220
Last modified: 2021-05-21T19:40:26+00:00