is 2 547853 - 1
has 164921 decimal digits
takes 0.008 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L2710DAFD917F7038double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26754.237070.1493 %100000006000000000.891210.3622 %55.128273.2424 %
Target2440.000054.5455 %900016000000.002014.8380 %0.002061.2900 %
Difference+23+54.2370+15.6038 %+9991000+598400000+0.8892-4.4758 %+55.1262+11.9524 %

Known prime factors (1 factor, 96.2 bits, 0.01756445% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
547853927536612568493491847646328232996.22784651960705562759704487
151 × 2811260597 × 199415526221
2021-01-2228112605971994155262213.847e+10285.95429.10

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-12-07Alex Kruppav4_computers1000004000000--0.00724.058%
2002-04-28ANONYMOUSv4_computers163841638400--0.00219.611%
2002-06-29ANONYMOUSv4_computers32768327680012--0.00422.306%
2002-09-07ANONYMOUSv4_computers65536655360012--0.00924.954%
2003-05-11ANONYMOUSv4_computers1310721310720012--0.01827.549%
2011-06-23JossManual testing400000400000--0.00816.883%
2011-06-26JossManual testing434940434940--0.00917.141%
2011-08-01JossManual testing724900724900--0.01518.713%
2012-07-14JossManual testing10957061095706--0.02319.981%
2013-10-09David Campeaui5-2500k12250003797500012--0.06832.049%
2015-09-29mikrDell862895537104506212--0.60039.323%
2019-03-29alexlaptop1000000060000000012--0.89140.793%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-03-27ANONYMOUSv4_computers212540.004
2022-03-07LordJuliusManual testing254255
2001-04-08ANONYMOUSv4_computers212560.018
2002-01-08ANONYMOUSv4_computers212570.035
2003-12-13ANONYMOUSv4_computers212580.070
2016-02-23Mark RoseManual testing2582610.491
2015-07-10NRManual testing2612620.561
2015-09-13Gordon SpenceManual testing2622645.375
2017-11-24BloodERazorManual testing2642656.820
2018-06-04chuenkitManual testing26526613.64
2020-09-02YxinityManual testing26626727.28


ECM factoring results:
Total ECM effort:45.335 GHz-days
Estimated T-Level:29.106
DigitsB1CompleteFacMiss
201100054.8330.000%
25500007.7930.041%
302500000.82143.990%
3510000000.06793.475%
4030000000.00499.552%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002804.290
2500002500000018014.65
2500003850000027726.39


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11MadPooManual testing2710DAFD917F70380.008


PRP results:
dateuseridcompidcofactorsres64
2021-01-22mnd9vv
92753661256849349184764632823
6CBD4864C78BA741
2021-01-24Sébastien BROUCKEPortable_Seb
92753661256849349184764632823
6CBD4864C78BA741


CERT results:
dateuseridcompid
2021-03-26curtiscwcm231--19l


P-1 factor-bounds graph:
B1 = 10000000, B2 = 600000000 (P-1 stage 2)
B1 = 8628955, B2 = 371045062 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 8628955 (P-1 stage 1)
B1 = 1225000, B2 = 37975000 (P-1 stage 2)
B1 = 1225000 (P-1 stage 1)
B1 = 1095706 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 724900 (P-1 stage 1)
B1 = 434940 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
103
104
105
106
107
108
109
1010
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
267
266
265
264
262
261
258
257
256
255
254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=29.11 ~= 80-bit
250
260
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290
2100
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Last modified: 2024-03-13T02:15:48+00:00