is 2 13633 - 1
has 4104 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
Actual2672,179.558279.1045 %1000000000001221545218131338101,903,262.352640.7111 %1,905,441.910987.6113 %
Target2440.000268.1818 %500500000.00001.3893 %0.000268.6239 %
Difference+23+2,179.5581+10.9227 %+99999999500+122154521813083810+1,903,262.3526+39.3218%+1,905,441.9107+18.9874 %

Known prime factors (2 factors, 162.3 bits, 1.19034895% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
13633158238369271770820792063.779580350507121583
112 × 17 × 73 × 3864855103
2014-04-231213864855103183.250.06020.1125
136334486606773173926440929063839513098.50216454950389400449060841575
3 × 52 × 11 × 56149 × 480635863 × 739068053
2009-06-094806358637390680538.576e+120.14150.2797

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-02-06Lisander ViaeneManual testing5000050000--1.42986e-56.213%
2022-03-04Ethan O'ConnorManual testing1000000000248016220902450
skipped known factor: 15823836927177082079
skipped known factor: 448660677317392644092906383951
--6,27066.428%
2023-05-20JacobZGreatLakes800000000035524619698317750
skipped known factor: 15823836927177082079
skipped known factor: 448660677317392644092906383951
--898,06676.641%
2024-01-29ANONYMOUS2650v4100000000000122154521813133810
skipped known factor: 15823836927177082079
skipped known factor: 448660677317392644092906383951
--3,088,11079.379%


Trial Factoring results:
5758596061626364656667
No TF results for M13633


ECM factoring results:
Total ECM effort:484.386 GHz-days
Estimated T-Level:39.553
DigitsB1CompleteFacMiss
2011000999.6360.000%
2550000229.5810.000%
3025000044.9590.000%
3510000007.0050.091%
4030000000.91140.232%
45110000000.10190.366%
50440000000.01099.012%


ECM Summary

B1B2factorcurvesGHz-days
10.006
5000050000001160.022
250000250000005510.516
50000050000000100.019
10000001000000001,4215.848
30000003000000002854.579
30000005280000001,00015.40
3000000229727998501,200458.0


Lucas-Lehmer results:
No L-L results for M13633


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
15823836927177082079
448660677317392644092906383951
216983602A83849A
2017-10-02kkmrkkblmbrbkManual testing
15823836927177082079
448660677317392644092906383951
216983602A83849A
2017-12-07ATHManual testing
15823836927177082079
448660677317392644092906383951
216983602A83849A
2020-04-17Oliver KruseManual testing
15823836927177082079
448660677317392644092906383951
7ABE88CA259A86EF


CERT results:
No CERT results for M13633


P-1 factor-bounds graph:
B1 = 100000000000, B2 = 122154521813133810 (P-1 stage 2)
B1 = 8000000000, B2 = 35524619698317750 (P-1 stage 2)
B1 = 1000000000, B2 = 248016220902450 (P-1 stage 2)
B1 = 100000000000 (P-1 stage 1)
B1 = 8000000000 (P-1 stage 1)
B1 = 1000000000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
101
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104
105
106
107
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109
1010
1011
101
102
103
104
105
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107
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109
1010
1011
1012
1013
1014
1015
1016
1017
1018
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=39.55 ~= 115-bit
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2120
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Last modified: 2024-03-13T02:15:48+00:00