is 2 13835923 - 1
has 4165028 decimal digits
takes 6.139 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LFB4EBE93D44AC166double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27269.119666.6667 %76200037669359013.66697.0316 %82.786569.0105 %
Target2698.628865.2174 %90000110000000.44032.7927 %9.069166.1888 %
Difference+3+60.4909+1.4493 %+672000+365693590+13.2266+4.2389%+73.7175+2.8218 %

Known prime factors (1 factor, 96.6 bits, 0.00069811% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
138359231192544881967473643044375529213096.5904309596410617035246020
22 × 5 × 13 × 19 × 41467 × 64453 × 326410333
2022-07-02644533264103331.316e+911.48021.368

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-02-24ANONYMOUSv4_computers1500001800000--0.1542.906%
2022-07-02James Heinrichi3-810076200037669359023096.59015.459.070%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-07-17lalerav4_computers212560.001
2000-08-10ANONYMOUSv4_computers212650.270
2014-07-08NesowaManual testing2652660.540
2015-08-30NesowaManual testing2662671.080
2017-12-23ANONYMOUSManual testing2672682.160
2018-01-14ramgeisManual testing2682694.321
2021-08-08SRBaseManual testing2692708.642
2021-09-04SRBaseManual testing27027117.28
2021-10-22ANONYMOUSManual testing27127234.57


ECM factoring results:
Total ECM effort:0.728 GHz-days
Estimated T-Level:0.192
DigitsB1CompleteFacMiss
20110000.03896.227%
25500000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.728


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-31ANONYMOUSv4_computersFB4EBE93D44AC1666.139
2005-05-12ANONYMOUSv4_computersFB4EBE93D44AC1666.139


PRP results:
dateuseridcompidcofactorsres64
2022-10-19Funky Waddlemain
119254488196747364304437552921
5F90C46EDBE83998


CERT results:
dateuseridcompid
2022-10-19daveward2005Davy


P-1 factor-bounds graph:
B1 = 762000, B2 = 376693590 (P-1 stage 2)
B1 = 762000 (P-1 stage 1)
B1 = 150000, B2 = 1800000 (P-1 stage 2)
B1 = 150000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
109
TF factor-bounds graph:
272
271
270
269
268
267
266
265
256
this exponent TF target: 69
TF double-checked to: 67
ECM T-Level=0.19 ~= -16-bit
250
260
270
280
290
2100
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Last modified: 2024-03-13T02:15:48+00:00