is 2 9929 - 1
has 2989 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-LECA5D56647C5498Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2672,992.639579.1045 %580000000002459903667164443502,369,785.226840.7649 %2,372,777.866387.6225 %
Target2440.000268.1818 %500500000.00001.2611 %0.000268.5831 %
Difference+23+2,992.6393+10.9227 %+57999999500+245990366716394350+2,369,785.2268+39.5039%+2,372,777.8661+19.0395 %

Known prime factors:
No known factors for M9929

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-02-11ANONYMOUSv4_computers1000000100000000--0.00126.806%
2001-05-27ANONYMOUSv4_computers1000000100000000--0.00126.806%
2001-05-27ANONYMOUSv4_computers30000000004290000000--0.54336.547%
2002-06-23ANONYMOUSv4_computers1073741824429000000048--0.22137.711%
2002-09-14ANONYMOUSv4_computers2147483648429000000048--0.40036.976%
2002-11-16ANONYMOUSv4_computers3221225472429000000048--0.58036.450%
2003-03-16ANONYMOUSv4_computers42900000004290000000--0.75936.036%
2004-09-02ANONYMOUSv4_computers10000000100000000012--0.01134.334%
2004-09-02ANONYMOUSv4_computers1000100000--1.10000e-63.585%
2004-09-02ANONYMOUSv4_computers1000010000006--1.13000e-510.648%
2004-09-02ANONYMOUSv4_computers100000010000000012--0.00126.806%
2004-09-02ANONYMOUSv4_computers1000001000000012--0.00018.820%
2005-04-11ANONYMOUSv4_computers100000010000000012--0.00126.806%
2005-04-11ANONYMOUSv4_computers100000005000000012--0.00225.537%
2015-02-12JayderHPJared13594919738021002640412--1.00046.845%
2016-05-19ANONYMOUSManual testing1000000000010000000000012--2.63545.977%
2016-10-30ANONYMOUSManual testing2000000000020000000000012--5.27047.422%
2016-10-30ANONYMOUSManual testing4000000000040000000000012--10.5448.795%
2016-11-03ANONYMOUSManual testing100000000000100000000000012--26.3550.510%
2023-06-11JacobZGreatLakes58000000000245990366716444350--6,218,66080.094%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-11ATH5960X100000000024100000000027--2.725
2023-07-09masserManual testing8200000003280000000016617--0.562
2023-08-21masserManual testing82000000014678000000065--1.719


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-09-22ANONYMOUSv4_computers2522530.060
1999-12-30ANONYMOUSv4_computers2532540.121
2000-03-01ANONYMOUSv4_computers2542550.242
2000-05-31ANONYMOUSv4_computers212560.967
2002-12-09ANONYMOUSv4_computers212571.934
2016-02-23LaurVManual testing2572581.934
2010-07-20George WoltmanManual testing25826011.60
2012-11-08bcp19Manual testing26026115.47
2015-01-05LaurVManual testing26126230.94
2015-01-20LaurVManual testing26226398.87
2018-07-31Anton RepkoManual testing263264197.7
2019-08-27monstedManual testing264265376.3
2022-06-15Anton RepkoManual testing265266752.6


ECM factoring results:
Total ECM effort:2,677.009 GHz-days
Estimated T-Level:50.780
DigitsB1CompleteFacMiss
20110006,816.6840.000%
25500002,201.6830.000%
30250000656.8320.000%
351000000156.8070.000%
40300000033.0830.000%
45110000006.1930.204%
50440000001.02835.764%
551100000000.15685.554%
602600000000.02297.868%
658000000000.00399.724%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002800.038
500005000000010,0004.997
250000250000006400.438
2500002500000004,0009.99
10000001000000001,5824.327
100000010000000001,0009.99
11000000110000000050012.74
44000000440000000014,0311,673
1100000001100000000011028.50
110000000149140361370200306.0
110000000149153279192100153.0
110000000149164461544100153.0
110000000149178813612100153.1
110000000149205675954100153.1
various11815.1081


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11MadPooManual testingECA5D56647C5498A1.21079e-6


PRP results:
No PRP results for M9929


CERT results:
No CERT results for M9929


P-1 factor-bounds graph:
B1 = 58000000000, B2 = 245990366716444350 (P-1 stage 2)
B1 = 100000000000, B2 = 1000000000000 (P-1 stage 2)
B1 = 100000000000 (P-1 stage 1)
B1 = 40000000000, B2 = 400000000000 (P-1 stage 2)
B1 = 58000000000 (P-1 stage 1)
B1 = 40000000000 (P-1 stage 1)
B1 = 20000000000, B2 = 200000000000 (P-1 stage 2)
B1 = 20000000000 (P-1 stage 1)
B1 = 10000000000, B2 = 100000000000 (P-1 stage 2)
B1 = 10000000000 (P-1 stage 1)
B1 = 1359491973, B2 = 80210026404 (P-1 stage 2)
B1 = 4290000000 (P-1 stage 1)
B1 = 3221225472, B2 = 4290000000 (P-1 stage 2)
B1 = 3221225472 (P-1 stage 1)
B1 = 3000000000, B2 = 4290000000 (P-1 stage 2)
B1 = 3000000000 (P-1 stage 1)
B1 = 2147483648, B2 = 4290000000 (P-1 stage 2)
B1 = 2147483648 (P-1 stage 1)
B1 = 1359491973 (P-1 stage 1)
B1 = 1073741824, B2 = 4290000000 (P-1 stage 2)
B1 = 1073741824 (P-1 stage 1)
B1 = 10000000, B2 = 1000000000 (P-1 stage 2)
B1 = 10000000, B2 = 50000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 10000, B2 = 1000000 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 1000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=50.78 ~= 152-bit
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Last modified: 2024-03-13T02:15:48+00:00