is 2 4205743 - 1
has 1266055 decimal digits
takes 0.525 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LCB0A136AA0294FEAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272227.387668.0556 %620000015965654250158.370611.9903 %385.758271.8858 %
Target2651.734764.6154 %2200022500000.02591.8753 %1.760665.2789 %
Difference+7+225.6529+3.4402 %+6178000+15963404250+158.3447+10.1151%+383.9976+6.6069 %

Known prime factors (1 factor, 73.0 bits, 0.00173672% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
420574397235836375196149392892273.0421155988803585908
22 × 2307821 × 125225137
2022-04-012307821125225137544.211.62852.3045

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-08-07Carsten Kossendeymother25000337500--0.0081.793%
2011-08-10Squeeky_SquirrelT7500_2200500007375006--0.0162.583%
2011-12-05Squeeky_SquirrelP4_26007500013687506--0.0263.238%
2015-07-25David Campeaui5-2500k11450003091500012--0.5008.216%
2021-04-30Dylan Delgadolaptop-ryzen737002000000172000000--2.03710.990%
2022-04-01DRobinsonPEi3-910062000001596565425022273.042176.018.634%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-01-21ANONYMOUSv4_computers212600.018
2001-12-01David Campeauv4_computers212610.037
2011-01-25markrut2612620.073
2012-01-19GrunwalderGIMPManual testing212630.379
2016-02-23Mark RoseManual testing2622630.233
2013-11-06JayderManual testing2632640.467
2013-11-19David CampeauManual testing2642650.888
2015-06-07snme2pm1Manual testing2652661.777
2017-12-27YxinityManual testing2662673.554
2018-11-09chuenkitManual testing2672687.107
2018-12-15YxinityManual testing267268
2021-01-22ANONYMOUSManual testing26827199.5
2021-01-25ANONYMOUSManual testing271272113.7


ECM factoring results:
Total ECM effort:1.993 GHz-days
Estimated T-Level:2.308
DigitsB1CompleteFacMiss
20110000.46263.031%
25500000.04395.819%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.993


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-17ANONYMOUSv4_computersCB0A136AA0294FEA0.525
2000-03-15ANONYMOUSv4_computersCB0A136AA0294FEA0.525


PRP results:
dateuseridcompidcofactorsres64
2022-04-07Poaooffice-CN2
9723583637519614939289
66B9EAD62D2F9D27


CERT results:
dateuseridcompid
2022-04-07KristapsKapp


P-1 factor-bounds graph:
B1 = 6200000, B2 = 15965654250 (P-1 stage 2)
B1 = 2000000, B2 = 172000000 (P-1 stage 2)
B1 = 6200000 (P-1 stage 1)
B1 = 1145000, B2 = 30915000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1145000 (P-1 stage 1)
B1 = 75000, B2 = 1368750 (P-1 stage 2)
B1 = 50000, B2 = 737500 (P-1 stage 2)
B1 = 75000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 25000, B2 = 337500 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
272
271
268
267
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
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Last modified: 2024-03-13T02:15:48+00:00