is 2 3396469 - 1
has 1022440 decimal digits
takes 0.357 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LE9073B0C83803801double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26935.150368.1159 %10000001233424501.16746.9557 %36.317770.3337 %
Target2641.047965.6250 %1900016000000.01601.8188 %1.064066.2502 %
Difference+5+34.1023+2.4909 %+981000+121742450+1.1514+5.1368%+35.2537+4.0835 %

Known prime factors (1 factor, 69.6 bits, 0.00204808% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33964698717726151945101725192169.563128335134987911
619 × 207326550869
2021-07-0661920732655086935.1501,720.23,212.9

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-11Carsten Kossendeymother15000206250--0.0041.499%
2011-10-24USAFSSP4_2600600009450006--0.0163.108%
2014-07-04JossManual testing7889778897--0.0121.338%
2014-10-14JossManual testing9779497794--0.0151.499%
2015-10-31Squeeky_SquirrelP4_260016500043725006--0.0605.080%
2016-09-16JossManual testing29161752470006--0.0865.636%
2021-06-06NumberwangManual testing100000030000000--0.5198.619%
2022-04-06JossManual testing1000000123342450--1.22210.571%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.045
2009-03-26S485122USB-A2602610.045
2011-08-22Grant McCrackenthumper2612620.090
2012-11-15GrunwalderGIMPManual testing212630.470
2016-02-23Mark RoseManual testing2622630.289
2015-02-18VictordeHollanderManual testing2632640.578
2015-02-18VictordeHollanderManual testing2642651.100
2015-04-05Gordon SpenceManual testing2652662.200
2017-03-12Gordon SpenceManual testing2662674.400
2018-09-03TJAOIManual testing2672688.801
2021-06-21TJAOIManual testing26826917.60


ECM factoring results:
Total ECM effort:5.363 GHz-days
Estimated T-Level:20.737
DigitsB1CompleteFacMiss
20110001.59320.333%
25500000.14786.300%
302500000.00999.074%


ECM Summary

B1B2factorcurvesGHz-days
500005000000364.636
50000675000050.728


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-12ANONYMOUSv4_computers7285BDA7165422F50.357
1999-09-14ANONYMOUSv4_computersE9073B0C838038010.357


PRP results:
dateuseridcompidcofactorsres64
2021-07-07tottenhoff2018pc
871772615194510172519
45AE729BF3F6EA89


CERT results:
dateuseridcompid
2021-07-07metaphysisothello.dns


P-1 factor-bounds graph:
B1 = 1000000, B2 = 123342450 (P-1 stage 2)
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 291617, B2 = 5247000 (P-1 stage 2)
B1 = 165000, B2 = 4372500 (P-1 stage 2)
B1 = 291617 (P-1 stage 1)
B1 = 165000 (P-1 stage 1)
B1 = 60000, B2 = 945000 (P-1 stage 2)
B1 = 97794 (P-1 stage 1)
B1 = 78897 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 206250 (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
1010
1011
1012
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=20.74 ~= 52-bit
250
260
270
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Last modified: 2024-02-09T03:30:02+00:00