is 2 3445027 - 1
has 1037057 decimal digits
takes 0.362 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L4787C7A8C93CBD26double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26934.654868.1159 %10000001266688501.19506.9935 %35.849870.3458 %
Target2641.033265.6250 %1900017000000.01681.8543 %1.050066.2624 %
Difference+5+33.6216+2.4909 %+981000+124968850+1.1781+5.1393%+34.7998+4.0834 %

Known prime factors (1 factor, 86.4 bits, 0.00250902% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34450271047076213774488005227594872786.43615196923184847143509
32 × 7 × 112 × 29323703 × 67984661
2021-05-1829323703679846614,549,0134.78659.0885

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-06Carsten Kossendeymother15000210000--0.0041.511%
2011-11-03USAFSSP4_2600600009450006--0.0163.115%
2014-07-18JossManual testing7863178631--0.0121.339%
2014-09-18HBendtzHAL90075000001000000012--0.1556.739%
2022-04-10JossManual testing1000000126668850--1.25110.622%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-03-22S485122USB-A2602610.045
2011-08-06markrManual testing212620.089
2012-08-18GrunwalderGIMPManual testing212630.463
2016-02-23Mark RoseManual testing2622630.285
2015-02-07VictordeHollanderManual testing2632640.570
2015-02-07VictordeHollanderManual testing2642651.085
2015-04-16Gordon SpenceManual testing2652662.169
2017-02-06Gordon SpenceManual testing2662674.338
2018-07-23TJAOIManual testing2672688.677
2021-01-03axnManual testing26826917.35


ECM factoring results:
Total ECM effort:3.826 GHz-days
Estimated T-Level:20.480
DigitsB1CompleteFacMiss
20110001.03835.400%
25500000.09690.839%
302500000.00699.396%


ECM Summary

B1B2factorcurvesGHz-days
500005000000223.092
50000500000050.735


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27ANONYMOUSv4_computers4787C7A8C93CBD260.362


PRP results:
dateuseridcompidcofactorsres64
2021-05-19RichD0Linux-7
104707621377448800522759487
41EBC68848D56D7B


CERT results:
dateuseridcompid
2021-05-20curtischum110--36l


P-1 factor-bounds graph:
B1 = 1000000, B2 = 126668850 (P-1 stage 2)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 60000, B2 = 945000 (P-1 stage 2)
B1 = 78631 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 210000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=20.48 ~= 51-bit
250
260
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Last modified: 2024-02-29T14:28:04+00:00