is 2 3484141 - 1
has 1048831 decimal digits
takes 0.366 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26934.265868.1159 %10000001146568501.09536.9001 %35.361170.3160 %
Target2641.021665.6250 %1900018000000.01771.8872 %1.039366.2737 %
Difference+5+33.2442+2.4909 %+981000+112856850+1.0777+5.0129%+34.3218+4.0423 %

Known prime factors (1 factor, 24.3 bits, 0.00069794% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
348414120904847824.3173
3
-136.419e-131.689e-73.099e-7

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2020-10-21JossManual testing116138116138
skipped known factor: 20904847
---1.643%
2020-11-15JossManual testing34841434841416
skipped known factor: 20904847
---5.282%
2022-01-14JossManual testing1000000114656850
skipped known factor: 20904847
--1.14710.496%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2021-02-24JossManual testing265266
2022-06-03LordJuliusManual testing266267
2021-04-02JossManual testing267268
2021-12-23JossManual testing268269


ECM factoring results:
Total ECM effort:0.442 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.442


Lucas-Lehmer results:
No L-L results for M3484141


PRP results:
dateuseridcompidcofactorsres64
2017-11-07Oliver KruseGTX-3
20904847
6930D1C79C218428
2017-12-16kkmrkkblmbrbkc4.xlarge
20904847
6930D1C79C218428


CERT results:
No CERT results for M3484141


P-1 factor-bounds graph:
B1 = 1000000, B2 = 114656850 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 348414, B2 = 3484141 (P-1 stage 2)
B1 = 348414 (P-1 stage 1)
B1 = 116138 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
269
268
267
266
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00