is 2 3226793 - 1
has 971362 decimal digits
takes 0.275 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LB43B12DE6B7B959Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26936.998668.1159 %40000001500000001.47538.1051 %38.473970.7002 %
Target2641.103165.6250 %1600014000000.01131.6526 %1.114366.1931 %
Difference+5+35.8955+2.4909 %+3984000+148600000+1.4640+6.4525%+37.3596+4.5071 %

Known prime factors (1 factor, 70.3 bits, 0.00217989% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
322679314947668924732266785992270.340231618032590443
3 × 17 × 71 × 89 × 718710247
2021-06-308971871024774.0524.83259.0257

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-03Carsten Kossendeymother15000191250--0.0031.451%
2011-09-06USAFSSP4_26006000010350006--0.0143.152%
2014-06-09JossManual testing7989179891--0.0101.335%
2014-09-29JossManual testing9978299782--0.0121.501%
2015-12-18Squeeky_SquirrelP4_260015500039525006--0.0454.904%
2016-05-08JossManual testing37816268069166--0.0906.054%
2020-03-30mikrMSI400000015000000012--1.47511.830%
2022-03-12JossManual testing1000000134343300--1.25910.636%
2022-09-11JossManual testing1000000241175550--2.14511.438%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-05-27David Campeauv4_computers212600.024
2009-04-07S485122USB-Z2602610.048
2011-10-11markroldgamer2612620.095
2013-01-03dbaughManual testing2622630.304
2015-02-15VictordeHollanderManual testing2632640.608
2015-02-15VictordeHollanderManual testing2642651.158
2015-06-24ThaManual testing2652662.316
2017-03-19Gordon SpenceManual testing2662674.632
2018-12-10TJAOIManual testing2672689.263
2021-02-01ViliamFManual testing26826918.53


ECM factoring results:
Total ECM effort:6.235 GHz-days
Estimated T-Level:20.960
DigitsB1CompleteFacMiss
20110002.07712.532%
25500000.19282.531%
302500000.01298.796%


ECM Summary

B1B2factorcurvesGHz-days
50000490000070.816
500005000000434.948
50000500000040.471


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-22ANONYMOUSv4_computersB43B12DE6B7B959F0.275


PRP results:
dateuseridcompidcofactorsres64
2021-07-01marssystemssystem11
1494766892473226678599
CD03A7E1A633FC91


CERT results:
dateuseridcompid
2021-07-01Knut Andreas BrungotMediaPrime


P-1 factor-bounds graph:
B1 = 1000000, B2 = 241175550 (P-1 stage 2)
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 134343300 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 378162, B2 = 6806916 (P-1 stage 2)
B1 = 378162 (P-1 stage 1)
B1 = 155000, B2 = 3952500 (P-1 stage 2)
B1 = 155000 (P-1 stage 1)
B1 = 60000, B2 = 1035000 (P-1 stage 2)
B1 = 99782 (P-1 stage 1)
B1 = 79891 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=20.96 ~= 53-bit
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Last modified: 2024-02-29T14:28:04+00:00