is 2 339211 - 1
has 102113 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
Actual26787.597271.6418 %2000000018200000001.217411.8933 %88.814675.0145 %
Target2440.000056.8182 %60008500000.000511.9909 %0.000561.9961 %
Difference+23+87.5971+14.8236 %+19994000+1819150000+1.2169-0.0976 %+88.8140+13.0184 %

Known prime factors (3 factors, 211.3 bits, 0.06230206% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3392113392111721.6945
5
-158.245e-131.256e-82.098e-8
33921186656878546792624043696632582.84212773300179945907421
33 × 47 × 16411 × 613347290219
2018-03-23164116133472902194,025,605344.57643.55
33921114126474991423713858482850302096933106.800208225484896181342269013244
22 × 33 × 67 × 487 × 66569 × 1692629 × 524411917
2021-06-2516926295244119175.072e+110.31110.5502

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-06-25George WoltmanManual testing200000001820000000233106.8001.21743.155%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-06-27George WoltmanManual testing1000000083000000027P-133106.8000.608


Trial Factoring results:
5758596061626364656667
No TF results for M339211


ECM factoring results:
Total ECM effort:13.422 GHz-days
Estimated T-Level:27.602
DigitsB1CompleteFacMiss
201100037.5350.000%
25500005.1410.585%
302500000.52059.434%
3510000000.04295.918%
4030000000.00399.726%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002812.154
2500002500000026510.16
25000025000000291.112


Lucas-Lehmer results:
No L-L results for M339211


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
3392111
2C12502EB4D5BC2C
2017-09-23Oliver KruseManual testing
3392111
2C12502EB4D5BC2C
2017-10-13kkmrkkblmbrbkc4.xlarge
3392111
2C12502EB4D5BC2C
2018-03-26Oliver KruseGTX-6
3392111
8665687854679262404369663
4B97E6C7048FE754
2018-04-07krackeri32450M
3392111
8665687854679262404369663
4B97E6C7048FE754
2021-06-26marssystemssystem11
3392111
8665687854679262404369663
141264749914237138584828503020969
4B97E6C7048FE754


CERT results:
dateuseridcompid
2021-06-26chuenkitCHAIN


P-1 factor-bounds graph:
B1 = 20000000, B2 = 1820000000 (P-1 stage 2)
B1 = 10000000, B2 = 830000000 (P-1 stage 2)
B1 = 20000000 (P-1 stage 1)
B1 = 10000000 (P-1 stage 1)
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108
100
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109
1010
1011
1012
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=27.6 ~= 75-bit
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Last modified: 2024-03-13T02:15:48+00:00