is 2 8377 - 1
has 2522 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
Actualunknown100000000100000000000.094340.9570%0.094340.9570%
Target2440.000368.1818%500100000.00001.1967%0.000368.5626%
Difference-44-0.0003-68.1818%+99999500+9999990000+0.0943+39.7604%+0.0940-27.6055%

Known prime factors (6 factors, 259.7 bits, 3.10015942% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
837750263515.6173
3
-135.214e-131.635e-103.000e-10
8377134033617.0328
23
-882.088e-121.179e-92.400e-9
8377787439619.58747
47
-1478.422e-125.169e-106.563e-10
83772596871721.308155
5 × 31
-5313.447e-119.459e-101.500e-9
83774307980284483131548.61425713144828
22 × 32 × 7 × 192 × 53 × 5333
-36153330.00799.315e-81.083e-7
837725362705650038636132783941810664537288492942137.54215138298704809977398104298561934187232
25 × 3 × 17 × 9275918324025721444916849609028301
2021-03-243292759183240257214449168496090283011.674e+137.450e+221.391e+23

57 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-27Seth_TrManual testing400000000400000000-
skipped known factor: 50263
skipped known factor: 134033
skipped known factor: 787439
skipped known factor: 2596871
skipped known factor: 430798028448313
--0.059--29.938%
unknown10000000010000000000-
skipped known factor: 50263
skipped known factor: 134033
skipped known factor: 787439
skipped known factor: 2596871
skipped known factor: 430798028448313
--0.094--40.957%


Trial Factoring results:
No TF results for M8377


ECM factoring results:
Total ECM effort:2,090.752 GHz-days
Estimated T-Level:46.229
DigitsB1CompleteFacMiss
20110004,606.3000.000%
25500001,300.3460.000%
30250000348.4570.000%
35100000071.8870.000%
40300000012.4490.000%
45110000001.86715.466%
50440000000.24678.214%
551100000000.02997.136%
602600000000.00399.697%


ECM Summary

B1B2factorcurvesGHz-days
30000003000000003,48922.20
1100000030114149530617137.9
11000000365788846627,2001,931


Lucas-Lehmer results:
No L-L results for M8377


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PCA93C1F7945B46E__?
2017-09-21Oliver KruseManual testingA93C1F7945B46E__?
2017-10-02kkmrkkblmbrbkManual testing
50263
134033
787439
2596871
430798028448313
A93C1F7945B46E__no
2017-12-07ATHManual testing
50263
134033
787439
2596871
430798028448313
A93C1F7945B46E__no
2020-04-17Oliver KruseManual testing
50263
134033
787439
2596871
430798028448313
F39A8EB32D3705__no
2021-03-24Bruno VictalManual testing
50263
134033
787439
2596871
430798028448313
253627056500386361327839418106645372884929
F39A8EB32D370564no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 10000000000 (P-1 stage 2)
B1 = 400000000 (P-1 stage 1)
B1 = 100000000 (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
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1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=46.23 ~= 137-bit
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Last modified: 2023-04-26T21:34:10+00:00