is 2 309677 - 1
has 93223 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
Actual26795.951371.6418 %10000000197616018600111.113817.3156 %207.065176.5522 %
Target2440.000056.8182 %55007500000.000511.4444 %0.000561.7601 %
Difference+23+95.9513+14.8236 %+9994500+197615268600+111.1133+5.8713%+207.0646+14.7921 %

Known prime factors (4 factors, 163.8 bits, 0.05288156% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3096774335479722.0487
7
-171.807e-121.368e-82.098e-8
3096771126474861671236.713181879
239 × 761
2008-07-212397614.043e-82.758e-65.015e-6
3096771171272736491236.769189112
23 × 7 × 11 × 307
2008-07-21113075.715e-82.797e-73.187e-7
3096773466316783926245124312168.232559666488619795
5 × 23 × 4866665118433
2014-01-15234866665118433325.142,734.05,106.3

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-02-06Lisander ViaeneManual testing5000050000
skipped known factor: 4335479
skipped known factor: 112647486167
skipped known factor: 117127273649
--0.0019.799%
2023-03-18Denial140i5-8400100000065871826020
skipped known factor: 4335479
skipped known factor: 112647486167
skipped known factor: 117127273649
--43.7448.917%
2024-02-22Denial140i5-84001000000010000000
skipped known factor: 4335479
skipped known factor: 112647486167
skipped known factor: 117127273649
--0.10125.635%
2024-02-24Denial140i5-840010000000197616018600
skipped known factor: 4335479
skipped known factor: 112647486167
skipped known factor: 117127273649
--108.954.369%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-07-21J FeitsmaManual testing??
36.713
12
2008-07-21J FeitsmaManual testing??
36.769
12


ECM factoring results:
Total ECM effort:13.441 GHz-days
Estimated T-Level:27.577
DigitsB1CompleteFacMiss
201100037.3600.000%
25500005.0750.625%
302500000.51559.723%
3510000000.04195.953%
4030000000.00399.728%


ECM Summary

B1B2factorcurvesGHz-days
10.008
5000050000002802.138
250000250000001445.498
25000033000000502.072
2500003461919670.296
25000036750000783.429


Lucas-Lehmer results:
No L-L results for M309677


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop3691394EC51993__
2017-10-12Oliver KruseGTX-1
4335479
112647486167
117127273649
346631678392624512431
3691394EC51993DA
2017-12-11ATHxps
4335479
112647486167
117127273649
346631678392624512431
3691394EC51993DA
2020-04-18Oliver KruseAddPrpType5
4335479
112647486167
117127273649
346631678392624512431
849C4FD17FBE8C82


CERT results:
No CERT results for M309677


P-1 factor-bounds graph:
B1 = 10000000, B2 = 197616018600 (P-1 stage 2)
B1 = 1000000, B2 = 65871826020 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=27.58 ~= 75-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00