is 2 7432877 - 1
has 2237519 decimal digits
takes 1.621 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L41F4B5E929420A2Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27164.319467.6056 %9000016650000.05561.8646 %64.375068.2097 %
Target2673.997665.6716 %5000055000000.10972.4338 %4.107366.5071 %
Difference+4+60.3218+1.9340 %+40000-3835000-0.0541-0.5692 %+60.2677+1.7025 %

Known prime factors (1 factor, 71.3 bits, 0.00095870% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
743287728255297380081217800232271.259190069722531943
41 × 4635846891023
2018-02-0341463584689102364.31979,859149,154

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-15jkosterv4_computers35000376250--0.0171.688%
2002-12-31jkosterv4_computers35000376250--0.0171.688%
2012-07-01NesowaEPC9000016650006--0.0563.015%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-07-21ANONYMOUSv4_computers212630.132
2013-10-24NesowaManual testing2632640.264
2013-11-25David CampeauManual testing2642650.503
2015-06-21VictordeHollanderManual testing2652661.005
2016-05-20america64Manual testing2662672.011
2016-06-01america64Manual testing2672684.021
2016-06-12ramgeisManual testing2682698.043
2016-06-12ramgeisManual testing26927016.09
2016-06-12ramgeisManual testing27027132.17


ECM factoring results:
Total ECM effort:1.326 GHz-days
Estimated T-Level:0.769
DigitsB1CompleteFacMiss
20110000.15485.740%
25500000.01498.587%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.995
50000500000010.332


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-06curtiscv4_computers41F4B5E929420A2C1.621
2002-03-03jkosterv4_computers41F4B5E929420A2C1.621
2002-12-31jkosterv4_computers41F4B5E929420A2C1.621


PRP results:
dateuseridcompidcofactorsres64
2018-03-13ATHxps
2825529738008121780023
F026D13438966ACD
2019-06-04marssystemssystem11
2825529738008121780023
F026D13438966ACD


CERT results:
No CERT results for M7432877


P-1 factor-bounds graph:
B1 = 90000, B2 = 1665000 (P-1 stage 2)
B1 = 90000 (P-1 stage 1)
B1 = 35000, B2 = 376250 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
100
101
102
103
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105
100
101
102
103
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109
1010
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1013
TF factor-bounds graph:
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270
269
268
267
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265
264
263
this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=0.77 ~= -14-bit
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Last modified: 2024-02-09T03:30:02+00:00