is 2 11215907 - 1
has 3376325 decimal digits
takes 3.795 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD45466B08C5C7531double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27285.265866.6667 %61891071856732107.83367.6863 %93.099469.2288 %
Target2685.314364.7059 %8000095000000.29102.8775 %5.605365.7215 %
Difference+4+79.9515+1.9608 %+6109107+176173210+7.5426+4.8088%+87.4941+3.5073 %

Known prime factors (1 factor, 122.8 bits, 0.00109495% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11215907931334958686143054698797980267496175137122.809415184861414303388347816177625
3 × 53 × 53 × 1223 × 15139 × 155581 × 355573 × 20395079
2021-12-27355573203950791.500e+100.71011.0181

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-01-27ANONYMOUSv4_computers650001105000--0.0602.428%
2015-02-01Sid & AndyHamm13000024375006--0.1253.314%
2021-12-27LaurVManual testing6189107185673210237122.8098.91410.381%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-03-15ANONYMOUSv4_computers212640.175
2013-11-23lycornManual testing2642650.333
2015-05-07NesowaManual testing2652660.666
2015-12-28VictordeHollanderManual testing2662671.333
2017-12-27ramgeisManual testing2672697.995
2021-08-07SRBaseManual testing26927010.66
2021-08-14SRBaseManual testing27027121.32
2021-10-30SRBaseManual testing27127242.64


ECM factoring results:
Total ECM effort:1.029 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000021.029


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-11-25ANONYMOUSv4_computersD45466B08C5C75313.795
2004-02-23ANONYMOUSv4_computersD45466B08C5C75313.795


PRP results:
dateuseridcompidcofactorsres64
2021-12-29LaurVtrabi
9313349586861430546987979802674961751
193E644FE7A4E8A6


CERT results:
dateuseridcompid
2021-12-29Ben Deloi-022d4d5ac5cde4eb0


P-1 factor-bounds graph:
B1 = 6189107, B2 = 185673210 (P-1 stage 2)
B1 = 6189107 (P-1 stage 1)
B1 = 130000, B2 = 2437500 (P-1 stage 2)
B1 = 130000 (P-1 stage 1)
B1 = 65000, B2 = 1105000 (P-1 stage 2)
B1 = 65000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
272
271
270
269
267
266
265
264
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.38 ~= -15-bit
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2130
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Last modified: 2024-03-13T02:15:48+00:00