is 2 3116783 - 1
has 938246 decimal digits
takes 0.265 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
Actual26938.304568.1159 %3116783313220985021.424011.5482 %59.728571.7980 %
Target2641.142065.6250 %1400012000000.00971.5087 %1.151766.1436 %
Difference+5+37.1625+2.4909 %+3102783+3131009850+21.4143+10.0395%+58.5768+5.6544 %

Known prime factors (2 factors, 113.8 bits, 0.00364972% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31167836233567722.5721
1
-111.793e-131.234e-72.512e-7
311678328091401771800847895996349192891.182450647378591978458173
3 × 23 × 29 × 5011 × 275083 × 163381021
2022-08-11275083163381021197,571,3591.13062.0518

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2020-09-07JossManual testing49867262335666
skipped known factor: 6233567
---6.077%
2021-12-04JossManual testing31167833116783
skipped known factor: 6233567
--0.3855.503%
2021-12-16JossManual testing31167836233566
skipped known factor: 6233567
--0.4066.623%
2021-12-16JossManual testing31167839350349
skipped known factor: 6233567
--0.4277.275%
2021-12-16JossManual testing311678312467132
skipped known factor: 6233567
--0.4487.735%
2021-12-18JossManual testing3116783162134700
skipped known factor: 6233567
--1.79411.762%
2022-08-11JossManual testing3116783313220985022891.18226.4416.214%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2021-01-02JossManual testing264265
2021-01-03JossManual testing265266
2021-02-19JossManual testing266267
2021-03-23JossManual testing267268
2021-12-04JossManual testing268269


ECM factoring results:
Total ECM effort:0.351 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.351


Lucas-Lehmer results:
No L-L results for M3116783


PRP results:
dateuseridcompidcofactorsres64
2017-10-30Oliver KruseGTX-1
6233567
B1C72A9690C84C97
2017-12-12Chang Chia-Tcheex01
6233567
B1C72A9690C84C97
2022-08-12LordJuliusWhitebox
6233567
2809140177180084789599634919
B1C72A9690C84C97


CERT results:
dateuseridcompid
2022-08-12StephenCLippNancysLaptop


P-1 factor-bounds graph:
B1 = 3116783, B2 = 3132209850 (P-1 stage 2)
B1 = 3116783, B2 = 162134700 (P-1 stage 2)
B1 = 3116783, B2 = 12467132 (P-1 stage 2)
B1 = 3116783, B2 = 9350349 (P-1 stage 2)
B1 = 3116783, B2 = 6233566 (P-1 stage 2)
B1 = 3116783 (P-1 stage 1)
B1 = 498672, B2 = 6233566 (P-1 stage 2)
B1 = 498672 (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:
269
268
267
266
265
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
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2100
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Last modified: 2024-03-13T02:15:48+00:00