is 2 5477 - 1
has 1649 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-daysProbability
Actual2675,425.217780.5970 %46000000000193133522175293700966,739.206039.4748 %972,164.423788.2563 %
Target2440.000470.4545 %500500000.00001.0484 %0.000470.7643 %
Difference+23+5,425.2173+10.1425 %+45999999500+193133522175243700+966,739.2060+38.4264%+972,164.4233+17.4920 %

Known prime factors (6 factors, 693.7 bits, 12.66643196% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
54772062528364638534811857.51718828997303620
22 × 3 × 5 × 7 × 44830945961
-7448309459616.69200.22440.4191
547731993450981666521138972271.438292070941954231524
22 × 3 × 7 × 19 × 127 × 181 × 14519 × 548323
-1451954832388,8764.006e-65.126e-6
54771147839106856690475324667068413096.53510478721077749593530442460
22 × 5 × 11 × 19 × 14561 × 172163386527845627
-145611721633865278456273.488e+12861,7691,609,544
5477663652752254157671732455334929129786983313956746152.217605854256211573554621558640614505922022379
3 × 89 × 2963916329183 × 765580675176583582429491839
2020-10-1329639163291837655806751765835824294918392.506e+133.832e+157.157e+15
547714461933122954624150239780251792040345135134768748156.66313202422058567303405367701526193208275639159
33503 × 19796498055679291 × 19905887411196811277483
2020-10-0719796498055679291199058874111968112774832.668e+139.964e+101.861e+11
547794446068448914233302128361493603395405261669835948159.37086220621187615695912112800341065725219336927
3 × 28740207062538565304037600113688575073112309
2021-04-053287402070625385653040376001136885750731123092.640e+131.439e+322.687e+32

57 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-08-27Seth_TrManual testing400000000400000000
skipped known factor: 3199345098166652113897
--0.03729.283%
2022-01-24Ethan O'ConnorHighland2017HiveOS13000000001300000000
skipped known factor: 3199345098166652113897
--0.11932.303%
2023-07-11ANONYMOUSGreatLakes46000000000193133522175293700
skipped known factor: 206252836463853481
skipped known factor: 3199345098166652113897
skipped known factor: 114783910685669047532466706841
--4,882,44078.708%


Trial Factoring results:
5758596061626364656667
No TF results for M5477


ECM factoring results:
Total ECM effort:121,730.380 GHz-days
Estimated T-Level:47.725
DigitsB1CompleteFacMiss
20110001,250.6000.000%
2550000498.5970.000%
30250000153.4420.000%
35100000044.3720.000%
40300000011.1520.001%
45110000002.5847.548%
50440000000.54557.988%
551100000000.10590.029%
602600000000.01998.159%
658000000000.00399.694%


ECM Summary

B1B2factorcurvesGHz-days
30000003000000003,82315.15
110000001100000000180.262
11000000090051415378213.971
11000000090051415378213.971
11000000090051415378213.971
110000000248311808745030016,327
2600000007203861749498203,153
2600000007300371108030640102,223


Lucas-Lehmer results:
No L-L results for M5477


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PCDE09DB183FC696__
2017-10-02kkmrkkblmbrbkManual testing
206252836463853481
3199345098166652113897
114783910685669047532466706841
DE09DB183FC696C9
2017-12-07ATHManual testing
206252836463853481
3199345098166652113897
114783910685669047532466706841
DE09DB183FC696C9
2020-04-17Oliver KruseIOS-1
206252836463853481
3199345098166652113897
114783910685669047532466706841
886704DC892AEE44
2020-10-07M Millercruncher
206252836463853481
3199345098166652113897
114783910685669047532466706841
144619331229546241502397802517920403451351347687
886704DC892AEE44
2020-10-07mnd9f4
206252836463853481
3199345098166652113897
114783910685669047532466706841
144619331229546241502397802517920403451351347687
886704DC892AEE44
2020-10-13ATHec2-PRPCF
206252836463853481
3199345098166652113897
114783910685669047532466706841
144619331229546241502397802517920403451351347687
6636527522541576717324553349291297869833139567
886704DC892AEE44
2021-04-05mikrNitron
206252836463853481
3199345098166652113897
114783910685669047532466706841
6636527522541576717324553349291297869833139567
144619331229546241502397802517920403451351347687
944460684489142333021283614936033954052616698359
886704DC892AEE44
2021-04-06Joe S.11600k
206252836463853481
3199345098166652113897
114783910685669047532466706841
144619331229546241502397802517920403451351347687
6636527522541576717324553349291297869833139567
944460684489142333021283614936033954052616698359
886704DC892AEE44


CERT results:
No CERT results for M5477


P-1 factor-bounds graph:
B1 = 46000000000, B2 = 193133522175293700 (P-1 stage 2)
B1 = 46000000000 (P-1 stage 1)
B1 = 1300000000 (P-1 stage 1)
B1 = 400000000 (P-1 stage 1)
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=47.72 ~= 142-bit
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Last modified: 2024-03-13T02:15:48+00:00