is 2 333008591 - 1
has 100245575 decimal digits
takes 4,953.503 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual278183.828662.8205 %299000080730000155.84485.4813 %339.673464.8584 %
Target2811,470.632664.1975 %1900000400000000508.79794.0328 %1,979.430565.6414 %
Difference-3-1,286.8040-1.3770 %+1090000-319270000-352.9531+1.4485%-1,639.7571-0.7829 %

Known prime factors (1 factor, 85.3 bits, 0.00002561% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
333008591466842726938847536942385292685.27170094697187383904
25 × 7 × 257 × 21647 × 56247899
2020-12-03216475624789923,53066.540123.45

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2020-12-03William WallaceBraveHeart-RT299000080730000622685.271155.84.246%


Trial Factoring results:
57585960616263646566676869707172737475767778798081
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-09-08Architects Cubeda3_bu22642650.011
2010-11-02Architects Cubedm1_622652660.022
2011-11-28laleraManual testing2662670.045
2011-11-29laleraManual testing2672680.090
2011-12-04laleraManual testing2682690.180
2011-12-04laleraManual testing2692700.359
2011-12-04laleraManual testing2702710.718
2013-01-13LaurVManual testing2712721.436
2013-06-23Greg Lawlerorange-core2722732.872
2013-07-08Greg Lawlerorange-core2732745.745
2013-07-15Greg Lawlerorange-core27427511.49
2013-09-24Preben SManual testing27527622.98
2020-05-16KrieselManual testing27627745.96
2020-05-16KrieselManual testing27727891.91


ECM factoring results:
No ECM results for M333008591


Lucas-Lehmer results:
No L-L results for M333008591


PRP results:
No PRP results for M333008591


CERT results:
No CERT results for M333008591


P-1 factor-bounds graph:
B1 = 2990000, B2 = 80730000 (P-1 stage 2)
B1 = 2990000 (P-1 stage 1)
103
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105
106
107
103
104
105
106
107
108
TF factor-bounds graph:
278
277
276
275
274
273
272
271
270
269
268
267
266
265
this exponent TF target: 81
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00