is 2 55691 - 1
has 16765 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
Actual267533.549776.1194 %63000000082076369316942076,908.862430.9000 %77,442.412283.4985 %
Target2440.000063.6364 %500500000.00002.1039 %0.000064.4014 %
Difference+23+533.5497+12.4830 %+629999500+820763693119420+76,908.8624+28.7962%+77,442.4121+19.0971 %

Known prime factors (4 factors, 190.4 bits, 0.34192398% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5569115615756411030.54014020
22 × 5 × 701
-57012.568e-97.382e-81.226e-7
55691570672359931135.732512356
22 × 13 × 59 × 167
2008-08-26591678.219e-81.116e-72.065e-7
55691468297092707911445.412420442345
5 × 79 × 1064411
2008-08-267910644118.416e-59.987e-50.0002
556915034145015325881178277432478.7364519711457260491981
3 × 617 × 743 × 3286362584017
2016-07-0374332863625840171,099,217307.94575.15

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-09-29kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 1561575641
skipped known factor: 57067235993
skipped known factor: 46829709270791
---39.692%
2023-04-22JacobZGreatLakes630000000820763693169420
skipped known factor: 1561575641
skipped known factor: 57067235993
skipped known factor: 46829709270791
skipped known factor: 503414501532588117827743
--120,67771.047%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-02ATHcolab-Pp215000000150000000027--0.176
2021-11-14fbaurubuntu50000000400000000065--0.493


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??35.73211
2008-08-26ANONYMOUSManual testing??45.41214


ECM factoring results:
Total ECM effort:124.630 GHz-days
Estimated T-Level:33.363
DigitsB1CompleteFacMiss
2011000192.0320.000%
255000037.3920.000%
302500005.5540.387%
3510000000.67351.035%
4030000000.06893.403%
45110000000.00699.409%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.329
250000250000005223.230
25000025000000620.384
100000010000000046412.84
1000000330801471041.132
100000041350859555017.48
1927713431730506215056.96
278142674431907555032.28


Lucas-Lehmer results:
No L-L results for M55691


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOllaptop
1561575641
57067235993
46829709270791
503414501532588117827743
B4B2E6BEE984FF6D
2017-09-21Oliver KruseManual testing
1561575641
57067235993
46829709270791
503414501532588117827743
B4B2E6BEE984FF6D
2017-10-02kkmrkkblmbrbkManual testing
1561575641
57067235993
46829709270791
503414501532588117827743
B4B2E6BEE984FF6D
2017-12-07ATHxps
1561575641
57067235993
46829709270791
503414501532588117827743
B4B2E6BEE984FF6D
2020-04-17Oliver KruseAddPrpType5
1561575641
57067235993
46829709270791
503414501532588117827743
94D0B1FCAAC8B5AD
2024-02-03Wentao HuangManual testing
1561575641
57067235993
46829709270791
503414501532588117827743
94D0B1FCAAC8B5AD


CERT results:
No CERT results for M55691


P-1 factor-bounds graph:
B1 = 630000000, B2 = 820763693169420 (P-1 stage 2)
B1 = 630000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
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
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=33.36 ~= 94-bit
250
260
270
280
290
2100
JSON version of this page
Last modified: 2024-02-09T03:30:02+00:00