is 2 136733 - 1
has 41161 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
Actual267217.313473.1343 %2600000000678600000000182.639222.8033 %399.952679.2606 %
Target2440.000059.0909 %24002250000.00016.7293 %0.000161.8438 %
Difference+23+217.3134+14.0434 %+2599997600+678599775000+182.6391+16.0741%+399.9525+17.4168 %

Known prime factors (8 factors, 395.5 bits, 0.28924864% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
136733820399619.6463
3
-135.108e-135.137e-99.427e-9
13673340199503825.261147
3 × 72
2008-07-2649493.269e-112.270e-74.619e-7
136733155055223927.208567
34 × 7
2008-07-2681811.308e-103.752e-77.636e-7
136733398166497928.5691456
24 × 7 × 13
2008-07-2616162.615e-107.411e-81.508e-7
1367333830727722837648471858.4101400805848931
3 × 486281 × 960217
2014-06-094862819602170.28080.00240.0046
1367331042465514544439407912166.499381204798601815
32 × 5 × 29 × 19997 × 14607739
2014-06-091999714607739108.010.00380.0069
136733124839998551263428162412373.40245651012758903640
23 × 3 × 5 × 11 × 19 × 181 × 1579 × 6368867
2015-06-261579636886713,9900.00160.0030
1367331122976813215154393780541628173096.503410645862087116641110976
26 × 129995683 × 49358112877573
2017-01-11129995683493581128775731.174e+1112,45723,264

247 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2017-01-08kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 820399
skipped known factor: 40199503
skipped known factor: 155055223
skipped known factor: 398166497
skipped known factor: 383072772283764847
skipped known factor: 104246551454443940791
skipped known factor: 12483999855126342816241
---41.355%
2021-02-23Seth_TrManual testing200000000020000000000012
skipped known factor: 820399
skipped known factor: 40199503
skipped known factor: 155055223
skipped known factor: 398166497
skipped known factor: 383072772283764847
skipped known factor: 104246551454443940791
skipped known factor: 12483999855126342816241
---53.556%
2021-04-20Seth_TrManual testing2600000000678600000000
skipped known factor: 820399
skipped known factor: 40199503
skipped known factor: 155055223
skipped known factor: 398166497
skipped known factor: 383072772283764847
skipped known factor: 104246551454443940791
skipped known factor: 12483999855126342816241
---56.859%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-07-26J FeitsmaManual testing??27.2089
2008-07-26J FeitsmaManual testing??28.5699
2008-07-26J FeitsmaManual testing??25.2618
2022-04-25LordJuliusManual testing259260
2022-04-25LordJuliusManual testing260261
2022-04-25LordJuliusManual testing261262
2022-04-25LordJuliusManual testing262263
2022-04-25LordJuliusManual testing263264
2022-11-20LordJuliusManual testing264265
2022-11-20LordJuliusManual testing265266


ECM factoring results:
Total ECM effort:214.934 GHz-days
Estimated T-Level:36.040
DigitsB1CompleteFacMiss
2011000284.2410.000%
255000063.0440.000%
3025000011.3360.001%
3510000001.67118.805%
4030000000.20881.224%
45110000000.02297.797%
50440000000.00299.788%


ECM Summary

B1B2factorcurvesGHz-days
10.003
10.003
5000050000002650.889
500005000000160.054
250000500000003267.505
100000010000000050034.70
300000040000000035080.81
300000052800000035090.97


Lucas-Lehmer results:
No L-L results for M136733


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseDoppelherz
820399
155055223
398166497
40199503
104246551454443940791
383072772283764847
12483999855126342816241
112297681321515439378054162817
425E44E0E56F0AD3
2017-10-09Chang Chia-Tchehomura425E44E0E56F0A__
2017-10-13kkmrkkblmbrbkManual testing
820399
40199503
155055223
398166497
383072772283764847
104246551454443940791
12483999855126342816241
112297681321515439378054162817
425E44E0E56F0AD3
2020-04-17Oliver KruseAddPrpType5
820399
40199503
155055223
398166497
383072772283764847
104246551454443940791
12483999855126342816241
112297681321515439378054162817
256793488A1288D8
2024-02-03Wentao HuangManual testing
820399
155055223
398166497
40199503
104246551454443940791
383072772283764847
12483999855126342816241
112297681321515439378054162817
256793488A1288D8


CERT results:
dateuseridcompid
2024-02-03Naegi Makoto1035G1


P-1 factor-bounds graph:
B1 = 2600000000, B2 = 678600000000 (P-1 stage 2)
B1 = 2000000000, B2 = 200000000000 (P-1 stage 2)
B1 = 2600000000 (P-1 stage 1)
B1 = 2000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
1010
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
266
265
264
263
262
261
260
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=36.04 ~= 103-bit
250
260
270
280
290
2100
2110
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Last modified: 2024-02-09T03:30:02+00:00