is 2 3986677 - 1
has 1200110 decimal digits
takes 0.497 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
Actual2677.453367.1642 %39866775031526505.639311.3223 %13.092670.8819 %
Target2651.830066.1538 %2000018000000.02121.7024 %1.851266.7300 %
Difference+2+5.6233+1.0103 %+3966677+501352650+5.6181+9.6199%+11.2414+4.1519 %

Known prime factors (4 factors, 157.2 bits, 0.00394419% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3986677119600311926.83415
3 × 5
-352.250e-125.622e-71.104e-6
3986677669761737929.31984
22 × 3 × 7
2008-09-07471.827e-117.529e-71.472e-6
3986677118563773991133.4651487
1487
2008-09-07114873.794e-101.482e-52.731e-5
39866772274787576319731482472167.62428529870570399
11 × 359 × 569 × 1753 × 7243
2018-12-28175372439.39910.00040.0006

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2018-12-28JossManual testing110001100012167.6240.0020.303%
2020-07-08JossManual testing6310001993338512
skipped known factor: 119600311
skipped known factor: 669761737
skipped known factor: 11856377399
skipped known factor: 227478757631973148247
---7.218%
2022-01-31JossManual testing10000001013050500
skipped known factor: 119600311
skipped known factor: 669761737
skipped known factor: 11856377399
skipped known factor: 227478757631973148247
--10.7212.672%
2022-08-18JossManual testing3986677414691200
skipped known factor: 119600311
skipped known factor: 669761737
skipped known factor: 11856377399
skipped known factor: 227478757631973148247
--5.03312.745%
2022-10-05JossManual testing3986677503152650
skipped known factor: 119600311
skipped known factor: 669761737
skipped known factor: 11856377399
skipped known factor: 227478757631973148247
--6.26713.035%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-09-07Will EdgingtonManual testing??
29.319
9
2008-09-07Will EdgingtonManual testing??
33.465
11


ECM factoring results:
Total ECM effort:0.475 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.475


Lucas-Lehmer results:
No L-L results for M3986677


PRP results:
dateuseridcompidcofactorsres64
2017-11-12Oliver KruseGTX-3
119600311
669761737
11856377399
DBBD065796B3E399
2017-12-19kkmrkkblmbrbkc4.xlarge
119600311
669761737
11856377399
DBBD065796B3E399
2018-12-29ZeroC1-16
119600311
669761737
11856377399
227478757631973148247
DBBD065796B3E399


CERT results:
No CERT results for M3986677


P-1 factor-bounds graph:
B1 = 1000000, B2 = 1013050500 (P-1 stage 2)
B1 = 3986677, B2 = 503152650 (P-1 stage 2)
B1 = 3986677, B2 = 414691200 (P-1 stage 2)
B1 = 3986677 (P-1 stage 1)
B1 = 631000, B2 = 19933385 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 631000 (P-1 stage 1)
B1 = 11000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00