is 2 3391331 - 1
has 1020893 decimal digits
takes 0.356 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
Actual27070.459268.5714 %3391331341484528028.822011.0081 %99.281272.0311 %
Target2641.049565.6250 %1800016000000.01591.7912 %1.065466.2407 %
Difference+6+69.4097+2.9464 %+3373331+3413245280+28.8061+9.2169%+98.2158+5.7904 %

Known prime factors (4 factors, 148.1 bits, 0.00436688% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33913316782663722.6931
1
-111.648e-131.523e-73.099e-7
339133188174607826.39413
13
2008-09-071132.644e-122.519e-73.099e-7
33913315854035062002071549.05686308813
17 × 41 × 123829
2014-04-22411238293.453e-50.00100.0019
339133110888297111044891649.952160531324
22 × 40132831
2014-05-164401328312.299e-50.33300.6219

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2020-04-28JossManual testing33913333913316
skipped known factor: 6782663
skipped known factor: 88174607
skipped known factor: 585403506200207
---5.221%
2020-07-02JossManual testing33913367826626
skipped known factor: 6782663
skipped known factor: 88174607
skipped known factor: 585403506200207
---6.020%
2021-09-02JossManual testing33913313391331
skipped known factor: 6782663
skipped known factor: 88174607
skipped known factor: 585403506200207
--0.4435.688%
2021-09-03JossManual testing33913313730464112
skipped known factor: 6782663
skipped known factor: 88174607
skipped known factor: 585403506200207
--0.6849.582%
2021-09-04JossManual testing33913317121795112
skipped known factor: 6782663
skipped known factor: 88174607
skipped known factor: 585403506200207
skipped known factor: 1088829711104489
--0.92610.610%
2021-09-05JossManual testing339133110513126112
skipped known factor: 6782663
skipped known factor: 88174607
skipped known factor: 585403506200207
skipped known factor: 1088829711104489
--1.16711.224%
2021-09-06JossManual testing339133113904457112
skipped known factor: 6782663
skipped known factor: 88174607
skipped known factor: 585403506200207
skipped known factor: 1088829711104489
--1.40811.662%
2022-07-24JossManual testing33913313414845280
skipped known factor: 6782663
skipped known factor: 88174607
skipped known factor: 585403506200207
skipped known factor: 1088829711104489
--30.1716.533%


Trial Factoring results:
5758596061626364656667686970
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-09-07Will EdgingtonManual testing??
26.394
8
2014-04-22TJAOIManual testing??
49.056
15
2014-05-16TJAOIManual testing??
49.952
16
2021-01-30JossManual testing265266
2021-01-31JossManual testing266268
2021-08-26JossManual testing268269
2021-11-21JossManual testing269270


ECM factoring results:
Total ECM effort:0.377 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.377


Lucas-Lehmer results:
No L-L results for M3391331


PRP results:
dateuseridcompidcofactorsres64
2017-11-05Oliver KruseGTX-0
6782663
88174607
585403506200207
1088829711104489
4FD905F399C4FE58
2017-12-15kkmrkkblmbrbkc4.xlarge
6782663
88174607
585403506200207
1088829711104489
4FD905F399C4FE58


CERT results:
No CERT results for M3391331


P-1 factor-bounds graph:
B1 = 3391331, B2 = 3414845280 (P-1 stage 2)
B1 = 3391331, B2 = 139044571 (P-1 stage 2)
B1 = 3391331, B2 = 105131261 (P-1 stage 2)
B1 = 3391331, B2 = 71217951 (P-1 stage 2)
B1 = 3391331, B2 = 37304641 (P-1 stage 2)
B1 = 3391331 (P-1 stage 1)
B1 = 339133, B2 = 6782662 (P-1 stage 2)
B1 = 339133, B2 = 3391331 (P-1 stage 2)
B1 = 339133 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
270
269
268
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