is 2 4045567 - 1
has 1217838 decimal digits
takes 0.505 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
Actual2677.344867.1642 %180000965936400.98256.4802 %8.327369.2920 %
Target2651.803466.1538 %2200018000000.02151.7528 %1.824966.7471 %
Difference+2+5.5414+1.0103 %+158000+94793640+0.9610+4.7274%+6.5025+2.5449 %

Known prime factors (3 factors, 172.3 bits, 0.00425947% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
40455677573948714731239.46293608
23 × 11701
-8117012.284e-80.00010.0002
404556728744742918865531651.352355262228
22 × 19 × 4674503
2014-06-251946745030.00010.04610.0860
404556734317885269642184117952392581.505424141847973870957
33 × 7 × 7499 × 12457 × 24023291
2022-09-061245724023291141,4130.23880.4421

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-09-06USAFSSUSAFSACS1800009659364022581.5051.0377.855%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2014-06-25TJAOIManual testing??
51.352
16
6.65140e-5


ECM factoring results:
Total ECM effort:0.477 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.477


Lucas-Lehmer results:
No L-L results for M4045567


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
2874474291886553
757394871473
677525103C087A3A
2018-01-08Oliver KruseGTX-3
757394871473
2874474291886553
677525103C087A3A
2022-09-12Perigbruinneall
757394871473
2874474291886553
3431788526964218411795239
4AC224F2B85A13D3


CERT results:
dateuseridcompid
2022-09-12volkiwork-linux


P-1 factor-bounds graph:
B1 = 180000, B2 = 96593640 (P-1 stage 2)
B1 = 180000 (P-1 stage 1)
100
101
102
103
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105
106
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
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290
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Last modified: 2024-03-13T02:15:48+00:00