is 2 9774689 - 1
has 2942475 decimal digits
takes 2.851 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L99B0DC9B98A59B43double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2673.039964.1791%5000050000000.13523.5119%3.175165.4371%1.2580%
PrimeNet2640.364162.5000%4000011000000.04133.5161%0.405563.8185%1.3185%
GPU722686.097964.7059%6500015000000.06062.5587%6.158465.6089%0.9031%
Difference-1-3.0580-0.5268%-15000+3500000+0.0746+0.9532%-2.9833-0.1718%-0.1718%

Known prime factors (1 factor, 70.6 bits, 0.00072221% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
977468917823259076730486966172270.59491170466276372
22 × 7 × 23 × 373 × 643 × 590267
2015-01-1564359026733.9350.01390.0254

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-08-24T00:00:00ANONYMOUSv4_computers105000997500---0.065--2.837%
2003-08-08T00:00:00StephenVRv4_computers45000303750---0.025--1.750%
2003-08-25T00:00:00StephenVRv4_computers45000303750---0.025--1.750%
unknown500005000000---0.135--3.512%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-06-26T00:00:00ANONYMOUSv4_computers21264--0.364--
1999-07-27T00:00:00ANONYMOUSv4_computers21264--0.364--
2013-08-25T00:12:00NesowaManual testing264265--0.382--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.444 GHz-days
Estimated T-Level:0.050
DigitsB1CurvesCompleteFacMiss
20110001 / 1000.01099.000%
25500001 / 2800.00499.643%

New Calculation Method

Total ECM effort:0.444 GHz-days
Estimated T-Level:0.050
DigitsB1CompleteFacMiss
20110000.03896.227%
25500000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.444


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-10-07T00:00:00ANONYMOUSv4_computers99B0DC9B98A59B432.851
2003-08-25T00:00:00StephenVRv4_computers99B0DC9B98A59B432.851


PRP results:
dateuseridcompidcofactorsres64PRP
2019-10-25T08:11:46mnd975203
1782325907673048696617
1B20523F47699D__no
2020-12-30T17:38:24kutensrigel
1782325907673048696617
1B20523F47699D73no


P-1 factor-bounds graph:
B1 = 50000, B2 = 5000000 (P-1 stage 2)
B1 = 105000, B2 = 997500 (P-1 stage 2)
B1 = 105000 (P-1 stage 1)
B1 = 45000, B2 = 303750 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 45000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
TF factor-bounds graph:
267
265
264
250
260
270
280
290
2100
Last modified: 2020-12-30T17:38:24+00:00