is 2 35339 - 1
has 10639 decimal digits
takes 0.000 GHz-days to do one PRP test
Has been fully factored.
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-
Cofactor is a certified prime

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267840.825176.1194 %----840.825176.1194 %
Target2440.000163.6364 %500500000.00001.8450 %0.000164.3073 %
Difference+23+840.8250+12.4830 %-500-500000.0000-1.8450 %+840.8250+11.8121 %

Known prime factors (5 factors, 35,339.0 bits, 100.00000000% known):
Remaining cofactor is a certified-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3533957766257420891342.39381731596
22 × 3673 × 5563
-367355633.020e-53.604e-67.136e-6
353392911486305088871548.0494119367137
3 × 23 × 211 × 523 × 541
2008-08-265235410.00205.002e-71.016e-6
3533970280284559540462113512272.57499437285378109825
33 × 52 × 359 × 69539 × 5900959
2009-04-0169539590095949,1190.00040.0006
3533941538304384668990779608921372891.74758771193843443491298012
22 × 87397061 × 168115475426123
2015-04-21873970611681154754261232.025e+108,743.516,330
35339
click to show decimal representation
10,56235,084.2382015-04-21

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2008-08-26ANONYMOUSManual testing1548.0490.0010.000%


Trial Factoring results:
5758596061626364656667
No TF results for M35339


ECM factoring results:
Total ECM effort:0.260 GHz-days
Estimated T-Level:25.464
DigitsB1CompleteFacMiss
201100013.9620.000%
25500001.35425.815%
302500000.09391.142%
3510000000.00599.503%


ECM Summary

B1B2factorcurvesGHz-days
10.012
5000050000003370.211
25000025000000110.038


Lucas-Lehmer results:
No L-L results for M35339


PRP results:
dateuseridcompidcofactorsres64
2017-11-09kkmrkkblmbrbkc4.large
5776625742089
291148630508887
7028028455954046211351
4153830438466899077960892137
Probable Prime!


CERT results:
No CERT results for M35339


P-1 factor-bounds graph:
101
102
103
104
105
106
107
108
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.46 ~= 68-bit
250
260
270
280
290
2100
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00