is 2 4461971 - 1
has 1343188 decimal digits
takes 0.557 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LCAFB5BB4728D0BF7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual271107.145167.6056 %750000012441625350123.870512.7811 %231.015671.7460 %
Target2651.635164.6154 %2600027500000.03152.0879 %1.666665.3542 %
Difference+6+105.5100+2.9902 %+7474000+12438875350+123.8389+10.6931%+229.3490+6.3918 %

Known prime factors (2 factors, 168.6 bits, 0.00377933% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
44619713188887283339559266813032478.07735734065543451081
1019 × 3967 × 8839873397
2022-07-183967883987339716,57387.100162.68
446197118191052664495117318703014312890.555203845482909852140665
5 × 7 × 112 × 19441 × 363019 × 6820241
2022-07-15363019682024160,878,6640.12930.1336

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-12-31ANONYMOUSv4_computers25000275000--0.0071.708%
2001-04-01ANONYMOUSv4_computers2000020000--0.0040.505%
2011-07-06USAFSSP4_2600500008125006--0.0172.672%
2014-08-22JossManual testing6438564385--0.0121.090%
2014-12-01Nesowanewfs260000559000012--0.1005.275%
2021-04-24Architects Cubedrdt122200013864000--0.1756.110%
2022-07-15xsslocal17500000750000012890.5551.3566.588%
2022-07-18xsslocal175000001244162535022478.077137.718.539%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-04-05ANONYMOUSv4_computers212600.017
2002-06-15David Campeauv4_computers212610.034
2010-10-09markrut2612620.069
2012-02-03GrunwalderGIMPManual testing212630.358
2016-02-23Mark RoseManual testing2622630.220
2014-09-19JayderManual testing2632640.440
2014-09-19monstManual testing2642650.837
2015-06-24snme2pm1Manual testing2652661.675
2018-06-25ramgeisManual testing26626810.05
2021-07-21MadPooManual testing26826913.40
2021-08-18SRBaseManual testing26927026.80
2021-08-22SRBaseManual testing27027153.59


ECM factoring results:
Total ECM effort:2.015 GHz-days
Estimated T-Level:2.308
DigitsB1CompleteFacMiss
20110000.46263.031%
25500000.04395.819%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000122.015


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-16ANONYMOUSv4_computersCAFB5BB4728D0BF70.557
1998-10-11ANONYMOUSv4_computersCAFB5BB4728D0BF70.557
1999-04-13ANONYMOUSv4_computersCAFB5BB4728D0BF70.557
1999-10-15ANONYMOUSv4_computersCAFB5BB4728D0BF70.557
2001-05-27ANONYMOUSv4_computersCAFB5BB4728D0BF70.557
2001-08-31ANONYMOUSv4_computersCAFB5BB4728D0BF70.557
2001-11-03ANONYMOUSv4_computersCAFB5BB4728D0BF70.557


PRP results:
dateuseridcompidcofactorsres64
2022-07-18xsslocal1
1819105266449511731870301431
318888728333955926681303
DAEDD866AF4FF9F4


CERT results:
dateuseridcompid
2022-07-18curtiscgrn201--15l


P-1 factor-bounds graph:
B1 = 7500000, B2 = 12441625350 (P-1 stage 2)
B1 = 7500000 (P-1 stage 1)
B1 = 222000, B2 = 13864000 (P-1 stage 2)
B1 = 260000, B2 = 5590000 (P-1 stage 2)
B1 = 260000 (P-1 stage 1)
B1 = 222000 (P-1 stage 1)
B1 = 50000, B2 = 812500 (P-1 stage 2)
B1 = 64385 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 25000, B2 = 275000 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
271
270
269
268
266
265
264
263
262
261
260
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=2.31 ~= -9-bit
250
260
270
280
290
2100
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Last modified: 2024-03-13T02:15:48+00:00