is 2 3067 - 1
has 924 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
Actual2679,688.267982.0896 %600000000003148064229044334601,025,878.823939.6158 %1,035,567.091789.1849 %
Target2440.000872.7273 %500500000.00000.8725 %0.000872.9652 %
Difference+23+9,688.2671+9.3623 %+59999999500+314806422904383460+1,025,878.8239+38.7433%+1,035,567.0910+16.2197 %

Known prime factors (3 factors, 113.3 bits, 3.69508640% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
306722063999824.3953597
3 × 11 × 109
-111097.287e-109.773e-101.339e-9
306718132492895611340.722295606340
22 × 5 × 14780317
-5147803174.776e-54.817e-58.996e-5
30673258936342394491548.21153129056772
22 × 11 × 113 × 10685651
-113106856510.01223.483e-56.504e-5

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-07-08ViliamF31000000000191000000000
skipped known factor: 22063999
skipped known factor: 1813249289561
skipped known factor: 325893634239449
--0.67947.259%
2022-03-03mikrNitron60000000000314806422904433460
skipped known factor: 22063999
skipped known factor: 1813249289561
skipped known factor: 325893634239449
--500,00078.702%


Trial Factoring results:
5758596061626364656667
No TF results for M3067


ECM factoring results:
Total ECM effort:1,446.934 GHz-days
Estimated T-Level:51.776
DigitsB1CompleteFacMiss
201100010,892.8330.000%
25500003,764.1900.000%
302500001,142.1140.000%
351000000285.9810.000%
40300000063.2150.000%
451100000012.4100.000%
50440000002.20211.058%
551100000000.35570.099%
602600000000.05394.807%
658000000000.00799.272%


ECM Summary

B1B2factorcurvesGHz-days
30000003000000002,9256.877
1100000011000000008,41479.66
4300000043000000007,352272.1
44000000440000000050018.94
1100000001100000000011,1561,056
850000000850000000001813.17


Lucas-Lehmer results:
No L-L results for M3067


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
22063999
1813249289561
325893634239449
94B47A70F468CF48
2017-09-21Oliver KruseManual testing
22063999
1813249289561
325893634239449
94B47A70F468CF48
2017-10-12kkmrkkblmbrbkManual testing
22063999
1813249289561
325893634239449
94B47A70F468CF48
2020-04-17Oliver KruseIOS-1
22063999
1813249289561
325893634239449
09DA7D4DBC8A9CD0
2024-02-03Wentao HuangManual testing
22063999
1813249289561
325893634239449
09DA7D4DBC8A9CD0


CERT results:
No CERT results for M3067


P-1 factor-bounds graph:
B1 = 60000000000, B2 = 314806422904433460 (P-1 stage 2)
B1 = 60000000000 (P-1 stage 1)
B1 = 1000000000, B2 = 191000000000 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=51.78 ~= 155-bit
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Last modified: 2024-02-09T03:30:02+00:00