is 2 3586171 - 1
has 1079546 decimal digits
takes 0.377 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
Actual2678.285767.1642 %10000001303648501.22578.3721 %9.511469.9132 %
Target2640.992565.6250 %2000020000000.01951.9791 %1.012066.3053 %
Difference+3+7.2932+1.5392 %+980000+128364850+1.2062+6.3931%+8.4994+3.6079 %

Known prime factors (3 factors, 159.6 bits, 0.00444907% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3586171494891599928.88369
3 × 23
-3231.012e-116.228e-79.298e-7
358617110115737145606241531959.811141038131556
22 × 7 × 7043 × 715189
2015-12-1670437151890.02360.00690.0111
358617121391082445741910111672270.857298244038638173
19 × 53 × 65519 × 4520381
2022-05-2165519452038181.2520.04690.0701

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-03-04JossManual testing9000090000
skipped known factor: 494891599
--0.0141.450%
2022-03-22JossManual testing100000100000
skipped known factor: 494891599
--0.0151.531%
2022-05-21JossManual testing10000013036485022270.8571.3028.074%
2022-10-04JossManual testing1000000130364850
skipped known factor: 494891599
skipped known factor: 1011573714560624153
skipped known factor: 2139108244574191011167
--1.45510.703%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2015-12-16TJAOIManual testing259260*
59.811
19
0.017


ECM factoring results:
Total ECM effort:0.444 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.444


Lucas-Lehmer results:
No L-L results for M3586171


PRP results:
dateuseridcompidcofactorsres64
2017-11-09kkmrkkblmbrbkc4.large
494891599
1011573714560624153
9135429AE6AAEA36
2017-11-25Oliver KruseThreadripper-PC
494891599
1011573714560624153
9135429AE6AAEA36
2022-05-27XZT600G2Mini5
494891599
1011573714560624153
2139108244574191011167
9135429AE6AAEA36


CERT results:
dateuseridcompid
2022-05-27Chad SteenersonLulabelle14


P-1 factor-bounds graph:
B1 = 1000000, B2 = 130364850 (P-1 stage 2)
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00