is 2 338477 - 1
has 101892 decimal digits
takes 0.002 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
Actual26787.787171.6418 %2000000018200000001.217411.8913 %89.004575.0140 %
Target2440.000056.8182 %60008500000.000511.9873 %0.000561.9945 %
Difference+23+87.7871+14.8236 %+19994000+1819150000+1.2169-0.0960 %+89.0040+13.0194 %

Known prime factors (3 factors, 175.7 bits, 0.05192122% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33847793446730171033.12113804
22 × 7 × 17 × 29
-17296.721e-91.820e-73.567e-7
338477499213881553490330872065.43673744136463259
105563 × 698579393
2014-10-1010556369857939330.5340.39350.7330
3384771716255121568540906367112477.184253526106880015615
5 × 67 × 359 × 34217 × 61608623
2014-07-02342176160862398,5520.03490.0646

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-06-18George WoltmanManual testing200000001820000000
skipped known factor: 9344673017
skipped known factor: 49921388155349033087
skipped known factor: 171625512156854090636711
--1.21743.151%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-06-18George WoltmanManual testing1000000083000000027--0.608


Trial Factoring results:
5758596061626364656667
No TF results for M338477


ECM factoring results:
Total ECM effort:7.673 GHz-days
Estimated T-Level:26.430
DigitsB1CompleteFacMiss
201100023.7060.000%
25500003.0104.927%
302500000.28675.134%
3510000000.02297.837%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.038
5000050000002702.070
50000500000060.046
250000250000001445.519


Lucas-Lehmer results:
No L-L results for M338477


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop0BE36E85F74610__
2017-10-13Oliver KruseGTX-0
9344673017
49921388155349033087
171625512156854090636711
0BE36E85F746105B
2017-12-12ATHxps
9344673017
49921388155349033087
171625512156854090636711
0BE36E85F746105B
2020-04-18Oliver KruseAddPrpType5
9344673017
49921388155349033087
171625512156854090636711
776E4697B418606F


CERT results:
No CERT results for M338477


P-1 factor-bounds graph:
B1 = 20000000, B2 = 1820000000 (P-1 stage 2)
B1 = 20000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.43 ~= 71-bit
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280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00