is 2 731191 - 1
has 220111 decimal digits
takes 0.015 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LCC5F86C20D49B452double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26740.637770.1493 %2565000923400000.21597.3742 %40.853672.3505 %
Target2440.000054.5455 %1200022500000.003916.5823 %0.003962.0829 %
Difference+23+40.6377+15.6038 %+2553000+90090000+0.2121-9.2081 %+40.8497+10.2676 %

Known prime factors (1 factor, 67.4 bits, 0.00922079% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7311911976596879067763161272167.422135162828800393
135162828800393
2014-03-22113516282880039340.638213,261398,312

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-02ANONYMOUSv4_computers2000200000--0.00011.759%
2002-01-28ANONYMOUSv4_computers4096409600--0.00114.663%
2002-03-24ANONYMOUSv4_computers8192819200--0.00217.446%
2002-05-11ANONYMOUSv4_computers163841638400--0.00320.196%
2002-07-14ANONYMOUSv4_computers32768327680012--0.00622.903%
2002-11-16ANONYMOUSv4_computers65537655370012--0.01225.560%
2003-06-23ANONYMOUSv4_computers1310721310720012--0.02428.161%
2011-07-10JossManual testing299143299143--0.00916.453%
2011-08-20JossManual testing498571498571--0.01418.036%
2011-10-13JossManual testing997143997143--0.02920.178%
2012-03-29JossManual testing14957151495715--0.04321.423%
2012-11-05JossManual testing24684072468407--0.07122.949%
2013-11-04David Campeaui5-2500k25650009234000012--0.18435.532%
2016-03-17alpertronManual testing5000001500000012---29.508%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-05-31ANONYMOUSv4_computers212550.007
2001-03-25ANONYMOUSv4_computers212560.013
2001-10-25ANONYMOUSv4_computers212570.026
2003-09-21ANONYMOUSv4_computers212580.053
2008-10-16Sturle Sundekraus.ifi2582590.053
2008-10-16Sturle Sundekraus.ifi2592600.105
2010-06-26Architects Cubedm1_f22602610.210


ECM factoring results:
Total ECM effort:11.225 GHz-days
Estimated T-Level:25.654
DigitsB1CompleteFacMiss
201100014.6920.000%
25500001.60920.008%
302500000.13187.737%
3510000000.00999.133%


ECM Summary

B1B2factorcurvesGHz-days
10.058
5000050000002786.185
25000025000000444.982


Lucas-Lehmer results:
No L-L results for M731191


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-3
197659687906776316127
980BD76CDA4EADC9
2017-09-28Oliver KruseManual testing
197659687906776316127
980BD76CDA4EADC9
2017-11-09kkmrkkblmbrbkc4.large
197659687906776316127
980BD76CDA4EADC9
2020-04-20Oliver KruseAddPrpType5
197659687906776316127
BFAA7C6941EB96A6


CERT results:
No CERT results for M731191


P-1 factor-bounds graph:
B1 = 2565000, B2 = 92340000 (P-1 stage 2)
B1 = 2565000 (P-1 stage 1)
B1 = 2468407 (P-1 stage 1)
B1 = 1495715 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 997143 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 498571 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 299143 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
261
260
259
258
257
256
255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
250
260
270
JSON version of this page
Last modified: 2024-03-03T02:29:32+00:00