is 2 266477 - 1
has 80218 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
Actual267111.506571.6418 %2000000018200000001.169911.6705 %112.676474.9513 %
Target2440.000056.8182 %50006000000.000410.5911 %0.000461.3916 %
Difference+23+111.5065+14.8236 %+19995000+1819400000+1.1695+1.0794%+112.6760+13.5597 %

Known prime factors (3 factors, 166.5 bits, 0.06248732% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
26647737988961131031.8237128
23 × 34 × 11
-81811.656e-98.026e-71.633e-6
2664776632128986229294491859.2021244409271012
22 × 86599 × 3592447
2014-08-288659935924470.30640.00280.0036
266477530277294460663914588172375.48999497760493525504
29 × 11 × 17666505769447
2015-02-275121766650576944739,9289,537.017,812

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-07-03George WoltmanManual testing200000001820000000
skipped known factor: 3798896113
skipped known factor: 663212898622929449
--1.01342.663%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-07-03George WoltmanManual testing1000000083000000027--0.506


Trial Factoring results:
5758596061626364656667
No TF results for M266477


ECM factoring results:
Total ECM effort:14.805 GHz-days
Estimated T-Level:27.657
DigitsB1CompleteFacMiss
201100038.1920.000%
25500005.2150.544%
302500000.53158.782%
3510000000.04395.816%
4030000000.00399.718%


ECM Summary

B1B2factorcurvesGHz-days
10.007
5000050000002741.999
50000500000070.051
250000250000001866.627
25000034250000743.094
2500003643735580.336
25000036750000140.603
25000055133578572.087


Lucas-Lehmer results:
No L-L results for M266477


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
3798896113
663212898622929449
53027729446066391458817
D1DEDAC312AD2242
2017-09-22Oliver KruseManual testing
3798896113
663212898622929449
53027729446066391458817
D1DEDAC312AD2242
2017-11-06kkmrkkblmbrbkc4.xlarge
3798896113
663212898622929449
53027729446066391458817
D1DEDAC312AD2242
2020-04-17Oliver KruseAddPrpType5
3798896113
663212898622929449
53027729446066391458817
2ADB59CF87B6E6CC


CERT results:
No CERT results for M266477


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
1011
1012
1013
1014
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=27.66 ~= 75-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00