is 2 13109417 - 1
has 3946328 decimal digits
takes 5.355 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LB3F0D529349D77CBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2699.106965.2174 %480000158400000.78005.3246 %9.886967.0694 %
Target2684.546764.7059 %90000120000000.43763.1728 %4.984465.8257 %
Difference+1+4.5602+0.5115 %+390000+3840000+0.3423+2.1519%+4.9025+1.2438 %

Known prime factors (1 factor, 103.4 bits, 0.00078898% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
131094171367282863894108728550140468232132103.431521488813687942312213480
23 × 5 × 192 × 239 × 2113 × 2917 × 3361 × 7294163
2021-05-27336172941631.136e+100.23730.4396

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-07-29ANONYMOUSv4_computers1550002053750--0.1533.344%
2001-11-03Team Prime Ribv4_computers1550002053750--0.1533.344%
2021-05-27Dylan DelgadoManual testing4800001584000012232103.4310.8475.854%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-05-05David Barleyv4_computers212640.150
2013-05-26lycornManual testing2642650.285
2014-05-26NesowaManual testing2652660.570
2015-07-09NesowaManual testing2662671.140
2017-12-22ANONYMOUSManual testing2672682.280
2018-01-07ramgeisManual testing2682694.560


ECM factoring results:
Total ECM effort:1.242 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000021.242


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-11-24Team Prime Ribv4_computersB3F0D529349D77CB5.355
2004-11-03Muniav4_computersB3F0D529349D77CB5.355


PRP results:
dateuseridcompidcofactorsres64
2022-06-08ATHec2-PRPCF
13672828638941087285501404682321
9D228C3E6232BCB4


CERT results:
dateuseridcompid
2022-06-08lajo321ln027


P-1 factor-bounds graph:
B1 = 480000, B2 = 15840000 (P-1 stage 2)
B1 = 480000 (P-1 stage 1)
B1 = 155000, B2 = 2053750 (P-1 stage 2)
B1 = 155000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
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
290
2100
2110
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Last modified: 2024-03-13T02:15:48+00:00