is 2 4297457 - 1
has 1293664 decimal digits
takes 0.536 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LDD6F7C6615636820double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual271111.246867.6056 %620000035561477490351.449413.7783 %462.696272.0690 %
Target2651.697764.6154 %2400025000000.02871.9815 %1.726465.3165 %
Difference+6+109.5491+2.9902 %+6176000+35558977490+351.4206+11.7968%+460.9698+6.7525 %

Known prime factors (1 factor, 75.8 bits, 0.00176325% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4297457646385886494993645993992375.7757520562584977507
13 × 1191283 × 485614933
2022-08-0811912834856149333,170.84.98858.9367

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-08-08Carsten Kossendeymother20000275000--0.0061.600%
2011-07-04USAFSSP4_2600500007750006--0.0162.625%
2014-08-21JossManual testing6493564935--0.0121.088%
2016-02-12Squeeky_SquirrelP4_260015000036000006--0.0614.476%
2022-07-08Kevin_9611P-155000025850000--0.3497.499%
2022-08-08DRobinsonPE5600G62000003556147749022375.775390.619.821%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-03-23ANONYMOUSv4_computers212600.018
2001-11-24David Campeauv4_computers212610.036
2012-02-03GrunwalderGIMPManual testing212630.371
2016-02-23Mark RoseManual testing2612630.343
2014-05-05JayderManual testing2632640.457
2014-05-18lycornManual testing2642650.869
2015-06-13snme2pm1Manual testing2652661.739
2018-04-27chuenkitManual testing2662673.478
2018-11-18chuenkitManual testing2672686.956
2021-01-23ANONYMOUSManual testing26827197.38


ECM factoring results:
Total ECM effort:2.062 GHz-days
Estimated T-Level:2.308
DigitsB1CompleteFacMiss
20110000.46263.031%
25500000.04395.819%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000122.062


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-11ANONYMOUSv4_computersDD6F7C66156368200.536
2000-02-16ANONYMOUSv4_computersDD6F7C66156368200.536


PRP results:
dateuseridcompidcofactorsres64
2022-08-10LordJuliusWhitebox
64638588649499364599399
9D6E46DE037A9E2D


CERT results:
dateuseridcompid
2022-08-10ag6if-jim8300_old8100


P-1 factor-bounds graph:
B1 = 6200000, B2 = 35561477490 (P-1 stage 2)
B1 = 6200000 (P-1 stage 1)
B1 = 550000, B2 = 25850000 (P-1 stage 2)
B1 = 550000 (P-1 stage 1)
B1 = 150000, B2 = 3600000 (P-1 stage 2)
B1 = 150000 (P-1 stage 1)
B1 = 50000, B2 = 775000 (P-1 stage 2)
B1 = 64935 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 275000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
271
268
267
266
265
264
263
261
260
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=2.31 ~= -9-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00