is 2 9344707 - 1
has 2813038 decimal digits
takes 2.583 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L90ABA431111BF241double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2673.179864.1791%17500038500000.15044.1607%3.330165.6695%1.4904%
PrimeNet2640.380962.5000%4000011000000.03923.4916%0.420163.8094%1.3094%
GPU722686.378564.7059%6000014000000.05332.4575%6.431865.5732%0.8674%
Difference-1-3.1987-0.5268%+115000+2450000+0.0971+1.7031%-3.1016+0.0962%+0.0962%

Known prime factors (1 factor, 72.7 bits, 0.00077823% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
934470777967336218476134785212272.723417173787356180
22 × 5 × 101 × 17417 × 11857477
2014-07-221741711857477163.930.26550.4836

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-04-27T00:00:00ANONYMOUSv4_computers45000495000---0.028--2.007%
2012-08-21T23:50:00James Heinrichi7-9201750003850000---0.150--4.161%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-11-21T00:00:00ANONYMOUSv4_computers21255--0.001--
1999-08-07T00:00:00ANONYMOUSv4_computers21264--0.381--
2000-02-16T00:00:00ANONYMOUSv4_computers21264--0.381--
2000-02-23T00:00:00ANONYMOUSv4_computers21264--0.381--
2000-03-08T00:00:00ANONYMOUSv4_computers21264--0.381--
2000-04-05T00:00:00ANONYMOUSv4_computers21264--0.381--
2013-09-06T00:59:00NesowaManual testing264265--0.400--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.841 GHz-days
Estimated T-Level:0.100
DigitsB1CurvesCompleteFacMiss
20110002 / 1000.02098.010%
25500002 / 2800.00799.287%

New Calculation Method

Total ECM effort:0.841 GHz-days
Estimated T-Level:0.100
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000020.841


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-09-15T00:00:00ANONYMOUSv4_computers90ABA431111BF2412.583
2003-05-11T00:00:00ANONYMOUSv4_computers90ABA431111BF2412.583


PRP results:
dateuseridcompidcofactorsres64PRP
2019-08-28T21:18:45mnd9office
7796733621847613478521
F0A8FA749BBCAF__no
2020-11-16T08:09:53kutensdeneb-b
7796733621847613478521
F0A8FA749BBCAF5Eno


P-1 factor-bounds graph:
B1 = 175000, B2 = 3850000 (P-1 stage 2)
B1 = 175000 (P-1 stage 1)
B1 = 45000, B2 = 495000 (P-1 stage 2)
B1 = 45000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
267
265
264
255
250
260
270
280
290
2100
Last modified: 2020-11-16T08:09:53+00:00