is 2 3213349 - 1
has 967315 decimal digits
takes 0.273 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LB795F698EB32093Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26818.549167.6471 %10000001199121000.92297.5101 %19.472170.0768 %
Target2641.107765.6250 %1600013000000.01061.6170 %1.118366.1808 %
Difference+4+17.4415+2.0221 %+984000+118612100+0.9123+5.8931%+18.3538+3.8960 %

Known prime factors (1 factor, 66.4 bits, 0.00206601% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3213349965640659130148798332066.38815025455671484
22 × 3 × 167 × 509 × 14730319
2014-05-06509147303196.25100.09910.1850

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-03Carsten Kossendeymother15000191250--0.0031.450%
2011-09-26USAFSSP4_26006000010350006--0.0143.150%
2021-01-17JossManual testing32133432133496---5.099%
2022-02-07JossManual testing1000000119912100
skipped known factor: 96564065913014879833
--1.13910.476%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-05-20David Campeauv4_computers212600.024
2009-04-07S485122USB-A2602610.048
2011-10-24markrManual testing212620.096
2013-01-03dbaughManual testing2622630.305
2022-04-03LordJuliusManual testing263266
2021-05-19JossManual testing267268


ECM factoring results:
Total ECM effort:0.948 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
10.353
50000500000060.595


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-01-04ANONYMOUSv4_computersB795F698EB32093F0.273


PRP results:
dateuseridcompidcofactorsres64
2017-11-01Oliver KruseGTX-0
96564065913014879833
67837E1B7461D5F6
2017-12-14kkmrkkblmbrbkold
96564065913014879833
67837E1B7461D5F6


CERT results:
No CERT results for M3213349


P-1 factor-bounds graph:
B1 = 1000000, B2 = 119912100 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 321334, B2 = 3213349 (P-1 stage 2)
B1 = 321334 (P-1 stage 1)
B1 = 60000, B2 = 1035000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
266
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
250
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270
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Last modified: 2024-03-13T02:15:48+00:00