is 2 4109953 - 1
has 1237220 decimal digits
takes 0.513 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-L1C97BC29595DB900double-checked
PRP470A1AD7A9DBD61D

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27058.139568.5714%130000006500000008.627410.1912%66.766971.7744%3.2029%
PrimeNet2610.074763.9344%170003400000.00632.8239%0.081064.9529%1.0185%
GPU722651.775166.1538%220004000000.00771.8094%1.782866.7662%0.6124%
Difference+5+56.3644+2.4176%+12978000+649600000+8.6197+8.3818%+64.9841+5.0081%+5.0081%

Known prime factors (1 factor, 71.6 bits, 0.00174219% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
410995335871510514791535742872271.603436398062396231
132 × 227 × 11375493637
2021-09-0422711375493637130.20112.08209.34

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-24T15:07:00Carsten Kossendeydurandal20000300000---0.006--0.773%
2011-08-01T14:46:00harleeP4_260040000580000---0.013--1.178%
2013-06-18T07:07:00Squeeky_SquirrelT7500_22001250002343750---0.044--2.236%
2020-11-24T23:30:44Carlos PinhoHomeComputer15100039610006---0.065--2.620%
2021-04-28T11:51:54Kingfactor16000006000000012---0.865--6.112%
2021-07-12T14:58:23axnManual testing13000000650000000---8.627--10.191%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-09-04T11:41:35ATH5960X250000016750000027P+12271.6032.281


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-03-31T00:00:00Trent Tauferv4_computers?260--0.019--
1998-08-09T00:00:00ANONYMOUSv4_computers?261--0.037--
2010-11-25T20:28:00Grant McCrackenLauren-laptop261262--0.075--
2011-07-01T19:13:00GrunwalderGIMPManual testing21263--0.388--
2016-02-23T16:29:48Mark RoseManual testing262263--0.239--
2013-09-06T19:39:00JayderManual testing263264--0.478--
2013-10-17T20:14:00David CampeauManual testing264265--0.909--
2015-05-31T21:23:00snme2pm1Manual testing265266--1.818--
2017-12-12T17:36:51YxinityManual testing266267--3.636--
2018-11-19T05:23:45YxinityManual testing267268--7.273--
2021-05-26T02:00:51axnManual testing268269--14.55--
2021-05-26T02:00:51axnManual testing269270--29.09--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.172 GHz-days
Estimated T-Level:0.600
DigitsB1CurvesCompleteFacMiss
201100012 / 1000.12088.638%
255000012 / 2800.04395.797%

New Calculation Method

Total ECM effort:2.172 GHz-days
Estimated T-Level:0.600
DigitsB1CompleteFacMiss
20110000.38767.903%
25500000.03596.562%
302500000.00299.785%


ECM Summary

B1B2factorcurvesGHz-days
500005000000122.172


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-10-04T00:00:00ANONYMOUSv4_computers1C97BC29595DB9000.513
2000-04-19T00:00:00Stephen Woodv4_computers1C97BC29595DB9000.513


PRP results:
dateuseridcompidcofactorsres64PRP
2021-09-04T14:53:46ATHec2-PRPCFDC
3587151051479153574287
470A1AD7A9DBD61Dno


P-1 factor-bounds graph:
B1 = 13000000, B2 = 650000000 (P-1 stage 2)
B1 = 13000000 (P-1 stage 1)
B1 = 2500000, B2 = 167500000 (P+1 stage 2)
B1 = 1600000, B2 = 60000000 (P-1 stage 2)
B1 = 2500000 (P+1 stage 1)
B1 = 1600000 (P-1 stage 1)
B1 = 151000, B2 = 3961000 (P-1 stage 2)
B1 = 125000, B2 = 2343750 (P-1 stage 2)
B1 = 151000 (P-1 stage 1)
B1 = 125000 (P-1 stage 1)
B1 = 40000, B2 = 580000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
B1 = 20000, B2 = 300000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-09-04T14:53:46+00:00