is 2 181553 - 1
has 54653 decimal digits
takes 0.001 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
Actual267163.665373.1343 %10000000020000000001.360712.2448 %165.026076.4240 %
Target2440.000059.0909 %34003500000.00018.3884 %0.000262.5225 %
Difference+23+163.6652+14.0434 %+99996600+1999650000+1.3606+3.8564%+165.0258+13.9014 %

Known prime factors (2 factors, 46.4 bits, 0.02557485% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1815535446591722.37715
3 × 5
-353.088e-122.079e-84.082e-8
18155317429089824.05548
24 × 3
2008-07-2716161.244e-111.070e-72.177e-7

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2017-05-23kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 5446591
skipped known factor: 17429089
---41.869%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-07-27J FeitsmaManual testing??
24.055
8


ECM factoring results:
Total ECM effort:18.073 GHz-days
Estimated T-Level:30.497
DigitsB1CompleteFacMiss
201100066.7560.000%
25500009.9430.005%
302500001.11232.878%
3510000000.09990.542%
4030000000.00799.255%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002811.368
2500002500000047510.96
2500003125000070.184
25000035750000150.417
25000036000000210.585
25000038500000280.774
1000000143000000343.779


Lucas-Lehmer results:
No L-L results for M181553


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
5446591
17429089
229A2D8ECFC46D70
2017-09-22Oliver KruseManual testing
5446591
17429089
229A2D8ECFC46D70
2017-10-12kkmrkkblmbrbkc4.xlarge
5446591
17429089
229A2D8ECFC46D70
2020-04-17Oliver KruseAddPrpType5
5446591
17429089
594A8AAD7F0CE417
2023-08-24USAFSS6917th_Scty_Sq
5446591
17429089
594A8AAD7F0CE417


CERT results:
dateuseridcompid
2023-08-24curtiscwcm229--19l


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=30.5 ~= 85-bit
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270
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290
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Last modified: 2024-03-13T02:15:48+00:00