is 2 4399729 - 1
has 1324451 decimal digits
takes 0.549 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LF20035F1B893A3E5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26813.547466.1765 %2237739626566811.00007.5704 %14.547468.7371 %
Target2651.658264.6154 %2600025000000.02912.0318 %1.687365.3343 %
Difference+3+11.8892+1.5611 %+2211739+60156681+0.9709+5.5386%+12.8601+3.4027 %

Known prime factors (1 factor, 80.7 bits, 0.00183529% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
439972920302522343227057569704472580.748230724691716547287
32 × 7 × 4783 × 158597 × 4827899
2018-12-17158597482789962,4850.07470.0888

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-08-08Carsten Kossendeymother25000356250--0.0081.835%
2012-01-14Squeeky_SquirrelT7500_220011000022550006--0.0413.884%
2018-12-17Ismo Laitela6600K2237739626566811222580.7481.0009.654%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2002-02-10David Campeauv4_computers212610.035
2010-11-03markrut2612620.070
2012-02-29GrunwalderGIMPManual testing212630.363
2016-02-23Mark RoseManual testing2622630.223
2014-07-09JayderHPJared2632640.446
2014-07-10lycornManual testing2642650.849
2015-06-20snme2pm1Manual testing2652661.698
2018-05-07chuenkitManual testing2662673.397
2018-10-30chuenkitManual testing2672686.794


ECM factoring results:
Total ECM effort:1.458 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.458


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-03-15Murray Hendersonv4_computersF20035F1B893A3E50.549


PRP results:
dateuseridcompidcofactorsres64
2018-12-18Oliver KruseGTX-4
2030252234322705756970447
BB3CF9D525F9FDD3
2018-12-19Carlos PinhoHomeComputer
2030252234322705756970447
BB3CF9D525F9FDD3


CERT results:
No CERT results for M4399729


P-1 factor-bounds graph:
B1 = 2237739, B2 = 62656681 (P-1 stage 2)
B1 = 2237739 (P-1 stage 1)
B1 = 110000, B2 = 2255000 (P-1 stage 2)
B1 = 110000 (P-1 stage 1)
B1 = 25000, B2 = 356250 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
TF factor-bounds graph:
268
267
266
265
264
263
262
261
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=1.73 ~= -11-bit
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Last modified: 2024-03-13T02:15:48+00:00