is 2 4429589 - 1
has 1333440 decimal digits
takes 0.552 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2336D83D6EDFAD59double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual271107.928467.6056%100000005000000006.63659.0754%114.564870.5455%2.9399%
PrimeNet2610.069362.2951%180003600000.00662.9409%0.076063.4039%1.1089%
GPU722651.647064.6154%260005000000.00942.0342%1.656465.3352%0.7198%
Difference+6+106.2813+2.9902%+9974000+499500000+6.6271+7.0412%+112.9084+5.2104%+5.2104%

Known prime factors:
No known factors for M4429589

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-20T03:50:00Carsten Kossendeydurandal25000356250---0.008--0.770%
2012-10-06T18:00:00Squeeky_SquirrelP4_26002900007395000---0.122--3.046%
2021-04-24T06:56:15Architects Cubedrdt122200013497000---0.171--3.281%
2021-08-20T02:36:56axnManual testing10000000500000000---6.636--9.075%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-02-12T00:00:00ANONYMOUSv4_computers21260--0.035--
1998-07-11T00:00:00ANONYMOUSv4_computers21261--0.069--
2010-10-21T00:53:00markroldgamer261262--0.069--
2012-01-15T23:45:00GrunwalderGIMPManual testing21263--0.360--
2016-02-23T16:38:51Mark RoseManual testing262263--0.222--
2014-08-30T20:39:00JayderManual testing263264--0.443--
2014-09-13T18:29:00monstManual testing264265--0.844--
2015-06-22T21:38:00snme2pm1Manual testing265266--1.687--
2018-05-17T10:28:52Gordon SpenceManual testing266267--3.374--
2018-06-26T13:40:12ramgeisManual testing267268--6.748--
2021-06-07T10:34:39TJAOIManual testing268269--13.50--
2021-07-16T16:25:42axnManual testing269270--26.99--
2021-08-09T19:48:15SRBaseManual testing270271--53.98--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.209 GHz-days
Estimated T-Level:0.600
DigitsB1CurvesCompleteFacMiss
201100012 / 1000.12088.638%
255000012 / 2800.04395.797%

New Calculation Method

Total ECM effort:2.209 GHz-days
Estimated T-Level:0.600
DigitsB1CompleteFacMiss
20110000.46263.031%
25500000.04395.819%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000122.209


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-08-30T00:00:00ANONYMOUSv4_computers2336D83D6EDFAD590.552
1999-12-15T00:00:00Bruce A Metcalfv4_computers2336D83D6EDFAD590.552


PRP results:
No PRP results for M4429589


P-1 factor-bounds graph:
B1 = 10000000, B2 = 500000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 222000, B2 = 13497000 (P-1 stage 2)
B1 = 290000, B2 = 7395000 (P-1 stage 2)
B1 = 290000 (P-1 stage 1)
B1 = 222000 (P-1 stage 1)
B1 = 25000, B2 = 356250 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-08-20T02:36:56+00:00