is 2 10011629 - 1
has 3013801 decimal digits
takes 2.920 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L73E3CBB1A5308FC3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26911.924865.2174 %11000044000000.14543.2153 %12.070266.3358 %
Target2685.953664.7059 %6500075000000.19882.5683 %6.152465.6123 %
Difference+1+5.9712+0.5115 %+45000-3100000-0.0534+0.6470%+5.9178+0.7234 %

Known prime factors (1 factor, 79.6 bits, 0.00079536% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
100116299344414768194391733029292479.62846667803851872616
23 × 3 × 7 × 5351 × 51912641887
2016-06-0553515191264188713,1181,196.22,234.1

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-09ANONYMOUSv4_computers5500055000--0.0230.744%
2004-12-13ANONYMOUSv4_computers5500055000--0.0230.744%
2011-04-30James Heinrichi7-92011000044000006--0.1453.597%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-07-26ANONYMOUSv4_computers212640.196
2011-04-25James HeinrichManual testing2642650.373
2015-04-19ThaManual testing2652660.746
2015-11-05VictordeHollanderManual testing2662671.493
2016-03-11mikrManual testing2672682.986
2021-01-29ViliamFManual testing268269


ECM factoring results:
Total ECM effort:0.887 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.444
50000500000010.444


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-09-29ANONYMOUSv4_computers73E3CBB1A5308FC32.920
2003-11-08ANONYMOUSv4_computers73E3CBB1A5308FC32.920
2004-01-27ANONYMOUSv4_computers73E3CBB1A5308FC32.920
2004-12-13ANONYMOUSv4_computers73E3CBB1A5308FC32.920


PRP results:
dateuseridcompidcofactorsres64
2019-12-06mrhx
934441476819439173302929
C86B3AACEC0C5576
2021-01-17rucio
934441476819439173302929
C86B3AACEC0C5576


CERT results:
dateuseridcompid
2021-01-17LastCucumberCukeLap


P-1 factor-bounds graph:
B1 = 110000, B2 = 4400000 (P-1 stage 2)
B1 = 110000 (P-1 stage 1)
B1 = 55000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
269
268
267
266
265
264
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.38 ~= -15-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00