is 2 178289 - 1
has 53671 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
Actual267166.661573.1343 %10000000020000000001.360712.2288 %168.022376.4197 %
Target2440.000059.0909 %32003500000.00018.2762 %0.000262.4766 %
Difference+23+166.6615+14.0434 %+99996800+1999650000+1.3606+3.9526%+168.0221+13.9430 %

Known prime factors (3 factors, 129.8 bits, 0.07278988% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
17828969889289826.059196
22 × 72
-49495.227e-113.276e-76.668e-7
178289189238051975991444.10553070591
3 × 7 × 19 × 23 × 5783
2008-07-272357831.500e-52.252e-63.934e-6
1782898813649868987559271859.6132471731253467
7 × 37 × 9543363913
2009-01-253795433639130.78383.47646.4930

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2017-06-01kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 69889289
skipped known factor: 18923805197599
---41.836%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-07-27J FeitsmaManual testing??
44.105
14


ECM factoring results:
Total ECM effort:19.169 GHz-days
Estimated T-Level:30.511
DigitsB1CompleteFacMiss
201100079.2620.000%
255000011.6060.001%
302500001.23429.108%
3510000000.10290.290%
4030000000.00799.316%


ECM Summary

B1B2factorcurvesGHz-days
10.004
5000050000002811.368
2500002500000075317.80


Lucas-Lehmer results:
No L-L results for M178289


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
69889289
18923805197599
881364986898755927
D01595171B6B9281
2017-09-22Oliver KruseManual testing
69889289
18923805197599
881364986898755927
D01595171B6B9281
2017-11-06kkmrkkblmbrbkc4.xlarge
69889289
18923805197599
881364986898755927
D01595171B6B9281
2020-04-17Oliver KruseAddPrpType5
69889289
18923805197599
881364986898755927
FF20EBE495B30686
2024-02-03Wentao HuangManual testing
69889289
18923805197599
881364986898755927
FF20EBE495B30686


CERT results:
dateuseridcompid
2024-02-03Naegi Makoto5700X


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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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=30.51 ~= 85-bit
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290
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Last modified: 2024-03-13T02:15:48+00:00