is 2 203657 - 1
has 61307 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267145.901873.1343%30000000102640764025803,739.164623.1721%3,885.066479.3597%6.2253%
PrimeNet2400.000055.0000%2200500000.000012.6794%0.000060.7057%5.7057%
GPU722440.000059.0909%3600800000.00018.8921%0.000162.7286%3.6377%
Difference+23+145.9018+14.0434%+29996400+10264076322580+3,739.1645+14.2800%+3,885.0663+16.6311%+16.6311%

Known prime factors (6 factors, 374.6 bits, 0.18395070% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2036576109711722.54315
3 × 5
-352.753e-122.079e-84.082e-8
2036571584553695814011547.171389025100
22 × 52 × 113 × 173 × 199
2014-02-271731990.00011.166e-62.354e-6
2036574488215365223291291858.6391101905499252
22 × 3 × 107 × 257 × 3339229
2014-07-2825733392290.34330.00120.0023
2036571351351441221487323912166.873331771419892635
3 × 5 × 2626873 × 8419933
2014-07-2826268738419933128.030.01970.0357
2036571326029005101143109405731832786.777325554487471862766663
3 × 7 × 132 × 91731329239747187
2020-05-3116991731329239747187112,977,05933,415,68562,411,194
20365776398390126098207969983125832892.62618756632506149606438763
23 × 802516307 × 1016185906783
2019-11-2080251630710161859067839.448e+9375.25691.38

57 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2036579681165145405510851112169.714
20365727421698787273760250717192581.182
2036578256366765296774539253490012789.416
2036577111818244573792903076227892972932105.810
20365781016539987855101681104032248011333109.320
2036572141288920531096639165955243985979135114.044
2036574667720845357136083144935736979351335115.168
2036576065156302306918781879298957424511743938125.512
20365743451154158873192811646763396203349831939128.353
2036572101164160789591033175023127892971616938341133.948
20365713082656471946966978375267579688820353040142136.587
203657121057351428549484918260413391222406106878343139.797
2036575951503755426704609825132443849384943714760744145.416
20365737056352176923907057754553512465071071335012945148.055
203657342892428442277359595023455665240191394813020746151.265
2036571791931207144924707409548288314278923441807055347153.650
20365712837505785981933020890803729742095510695717831348156.491
203657103241074603904260027816041369173017177943497595349159.499
203657739625431653874502049429748560898838037661525171349162.339
20365736361967961071846848399319768643469533848454311157
7
51167.959
20365796105658345100630615325971646342259117007655151520
39
52172.683
20365720949736418704948489686703523359303150069944555140
177
53173.807
20365710948181807536625079031898682144921395620566425644
0183
54176.193
20365710130648125023900197766552763947312785336624418212
61689
55179.403
20365763077312915929450043880797392969144395527034463647
79583
55182.041
20365794304772713123446631268387372096789966584289312590
38857407
58192.587
20365758717779795330311897739385755334541029203195776345
079350729
59195.226
20365754333146475485155003743631376997007148322034398158
8233480007
60198.436
20365728394112169259507675506337796077623915710436734235
49694584753
61200.821
20365761895332286587898301196482853969300345011812910822
22575161879
61201.946
20365716359102632342642379164081783703849929852936932887
4016111050153
63206.670
20365780425731773309714843983114301919472087021643751979
97021809038337
64212.289
20365757617490719787016624097341027956085072352966484031
593556526979377
65215.130
20365746336817735940722157509130552470445280147095424792
1174909666434937
66218.137
20365733195982268588288186307750580398376154118176510480
93427563367047977
67220.978
20365717347981945575867589962550260241121569167912812996
269228051105836383
68223.364
20365716052555927497891901932926929509128874706642121097
8930313381608246289
69226.574
20365799949389302952797913044961278795032658771717161168
4193847860341335783
69229.212
20365749137797809843987118914691726469471972426909406955
329582113921426990607
71234.832
20365745468530574402795348215048754222095979123645374927
3609131447095696438881
72238.042
20365728310456502627212551367726753686475670301279053490
20729478513023865373207
73240.680
20365713690065944258805834377418818756967511134875314687
3437095851116703641668399
75246.276
20365798076477528349072630050524923418149286212793140335
1291303901059100042612479
75249.117
20365712743889051994416095622163326486453996084497662573
00136056142883701278051170137
79259.460
20365727779958140426507716973831373920703624670750650729
28211720102766494585292073391
79260.584
20365773423175795745038600882572056588442807968857361364
481523920355628511801691806737
80265.309
20365783642346490363412853159893908566450729423370193773
7254232329622086523241475722689
81268.818
20365777861479123749855957999783119630879330871412298496
55471563712794121419223292748900407
85282.003
20365772047328164902260360212586599508300870789343488677
248663166644675190007759807350852281
86285.213
20365744859438481419721553523686020243103149671821547815
9547775992959907430468426250230923007
87287.851
20365721692644587912805400436407551065450869420079446991
018099666740267302539312553153879846999
89293.447
20365761443964321942478367282993200002831979191875446788
341881401688897755913705932344646956494471
92304.915
20365744018835340971315404765480268546846042157123059554
9761607084543805099817500180329383040600791
93307.756
20365713253578925786133419590572401522764689685542301815
4940184732979345281264765838442344393888107289
96315.990
20365737540486470137950144785094366698250257442037252787
2647064560594077197181284185611345301210790907881
99327.457
20365797361260751798125072040230801476390717826954612570
22154353847609705939905049853144611437168433917640
933871
106352.086
20365759484916578912927453201999057031912060900524069292
10208369940063334408780322204330601708839378955938
3907721921281
113374.628
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-05-05T03:32:48Oliver KruseOllaptop300000003000000000-
skipped known factor: 6109711
skipped known factor: 158455369581401
skipped known factor: 448821536522329129
skipped known factor: 135135144122148732391
--1.282--12.376%
2022-02-06T18:22:42Oliver KruseThreadripper-PC3000000010264076402580-
skipped known factor: 6109711
skipped known factor: 158455369581401
skipped known factor: 448821536522329129
skipped known factor: 135135144122148732391
--3,739--23.172%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-02-27T11:33:00TJAOIManual testing??47.171155.22076e-50.0020.000


ECM factoring results:

Old Calculation Method

Total ECM effort:11.595 GHz-days
Estimated T-Level:28.203
DigitsB1CurvesCompleteFacMiss
2011000691 / 1006.9100.096%
2550000691 / 2802.4688.439%
30250000410 / 6400.64152.670%

New Calculation Method

Total ECM effort:11.595 GHz-days
Estimated T-Level:28.203
DigitsB1CompleteFacMiss
201100043.2310.000%
25500005.8120.299%
302500000.59055.440%
3510000000.04795.389%
4030000000.00399.691%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000002811.372
250000250000003488.497
2500002500000030.073
2500002500000020.049
25000031250000150.396
25000038464196140.403
25000038500000280.806


Lucas-Lehmer results:
No L-L results for M203657


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T02:27:28Oliver KruseOllaptopA7C0003DA3FC97__?
2017-09-22T10:02:51Oliver KruseManual testingA7C0003DA3FC97__?
2017-10-12T07:31:49kkmrkkblmbrbkc4.xlargeA7C0003DA3FC97__no
2019-11-20T15:41:28mnd927016b
6109711
158455369581401
448821536522329129
135135144122148732391
7639839012609820796998312583
6420975A2BF5756Ano
2019-11-21T00:33:43mnd9printer
6109711
158455369581401
448821536522329129
135135144122148732391
7639839012609820796998312583
6420975A2BF5756Ano
2019-11-21T12:49:09marssystemssystem03
6109711
158455369581401
448821536522329129
135135144122148732391
7639839012609820796998312583
6420975A2BF5756Ano
2020-05-31T08:57:41CrypticCluecruncher
6109711
158455369581401
448821536522329129
135135144122148732391
132602900510114310940573183
7639839012609820796998312583
6420975A2BF5756Ano


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10264076402580 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (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
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-05-02T10:36:49+00:00