is 2 346711 - 1
has 104371 decimal digits
takes 0.003 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
Actual26785.702371.6418 %100000088660353606.803410.8133 %92.505774.7082 %
Target2440.000056.8182 %60008500000.000712.0276 %0.000762.0119 %
Difference+23+85.7023+14.8236 %+994000+8865185360+6.8027-1.2143 %+92.5050+12.6963 %

Known prime factors (1 factor, 24.4 bits, 0.00705134% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34671122882927824.44833
3 × 11
-3116.492e-124.830e-88.582e-8

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-02-06Lisander ViaeneManual testing5000050000
skipped known factor: 22882927
--0.0019.950%
2023-11-11Gabriel Lignelli7000070000
skipped known factor: 22882927
--0.00110.924%
2024-02-16Denial140i5-840010000008866035360
skipped known factor: 22882927
--5.89744.967%


Trial Factoring results:
5758596061626364656667
No TF results for M346711


ECM factoring results:
Total ECM effort:17.487 GHz-days
Estimated T-Level:27.025
DigitsB1CompleteFacMiss
201100030.1490.000%
25500004.0491.745%
302500000.40566.701%
3510000000.03296.826%
4030000000.00299.789%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002812.939
250000250000001447.532
435188144099632507.016


Lucas-Lehmer results:
No L-L results for M346711


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
22882927
598FD5D1120A1292
2017-09-23Oliver KruseManual testing
22882927
598FD5D1120A1292
2017-10-13Oliver KruseGTX-0
22882927
598FD5D1120A1292
2017-12-13ATHxps
22882927
598FD5D1120A1292
2020-04-18Oliver KruseAddPrpType5
22882927
DAB170DA0563DC2E


CERT results:
No CERT results for M346711


P-1 factor-bounds graph:
B1 = 1000000, B2 = 8866035360 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 70000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
100
101
102
103
104
105
106
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=27.02 ~= 73-bit
250
260
270
280
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Last modified: 2024-03-18T20:19:30+00:00