is 2 81359 - 1
has 24492 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
Actual267365.219874.6269 %1000000000205052040293102,431.923226.8608 %2,797.143081.4423 %
Target2440.000061.3636 %500500000.00002.3421 %0.000062.2685 %
Difference+23+365.2198+13.2632 %+999999500+20505203979310+2,431.9232+24.5187%+2,797.1429+19.1738 %

Known prime factors (4 factors, 254.7 bits, 0.31305059% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
813593417079721.70421
3 × 7
-373.450e-126.999e-91.328e-8
8135910218749735118711649.8606280036465
5 × 19 × 66105647
2009-07-1519661056470.00120.00780.0146
8135913249573788980032548906278572890.0988142660178333087027192
23 × 11 × 13 × 19 × 13009 × 1491241 × 19310563
2016-09-091491241193105635.518e+90.00540.0066
81359101280928006802355322968454812993.03262243223249303921706860
22 × 3 × 5 × 11 × 19 × 3967 × 1251216138592027
2017-02-22396712512161385920273.522e+10148,269276,925

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-09-09kkmrkkblmbrbkManual testing5000000400000001222890.0980.01528.616%
2016-10-31kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 3417079
skipped known factor: 1021874973511871
skipped known factor: 1324957378898003254890627857
---40.394%
2022-01-24George WoltmanManual testing100000000020505204029310
skipped known factor: 3417079
skipped known factor: 1021874973511871
skipped known factor: 1324957378898003254890627857
--3,60364.652%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2024-01-24masserAragorn25000000147500000027--0.251
2024-01-27masserGimli25000000147500000065--0.251
2024-01-27masserLegolas25000000147500000014767--0.251


Trial Factoring results:
5758596061626364656667
No TF results for M81359


ECM factoring results:
Total ECM effort:56.385 GHz-days
Estimated T-Level:31.533
DigitsB1CompleteFacMiss
2011000114.4510.000%
255000020.3360.000%
302500002.7566.353%
3510000000.30773.592%
4030000000.02997.155%
45110000000.00299.767%


ECM Summary

B1B2factorcurvesGHz-days
10.001
5000050000002800.437
250000250000004613.607
250000250000001240.970
10000001000000001836.248
129115557890933105030.83
156962224809885105014.29


Lucas-Lehmer results:
No L-L results for M81359


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC3A91EE59D66C06__
2017-10-02kkmrkkblmbrbkManual testing
3417079
1021874973511871
1324957378898003254890627857
10128092800680235532296845481
3A91EE59D66C06E2
2017-12-07ATHxps
3417079
1021874973511871
1324957378898003254890627857
10128092800680235532296845481
3A91EE59D66C06E2
2020-04-17Oliver KruseAddPrpType5
3417079
1021874973511871
1324957378898003254890627857
10128092800680235532296845481
0C9F27AEF07525F6
2024-02-03Wentao HuangManual testing
3417079
1021874973511871
1324957378898003254890627857
10128092800680235532296845481
0C9F27AEF07525F6


CERT results:
No CERT results for M81359


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 20505204029310 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 5000000, B2 = 40000000 (P-1 stage 2)
B1 = 5000000 (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
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=31.53 ~= 88-bit
250
260
270
280
290
2100
JSON version of this page
Last modified: 2024-03-26T00:31:09+00:00