is 2 1849457 - 1
has 556743 decimal digits
takes 0.100 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2A682B1254FA2380double-checked
PRPFDFF62CF3452D9B3verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26832.228369.1176%18494571849457000.93028.0378%33.158571.5999%2.4822%
PrimeNet2570.010463.1579%90001600000.00143.0229%0.011764.2716%1.1137%
GPU722610.166165.5738%90001500000.00131.6309%0.167466.1352%0.5614%
Difference+7+32.0622+3.5439%+1840457+184795700+0.9289+6.4069%+32.9911+5.4647%+5.4647%

Known prime factors (1 factor, 88.3 bits, 0.00477316% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
18494573751500466006959760507214812788.278101421673118297958820
22 × 5 × 641 × 60041 × 131763410861
2020-12-086004113176341086146,953,019564.711,054.7

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-01-02T21:45:00markrtiny2750006000000---0.046--3.532%
2015-10-06T23:39:08Bruno Victal5820K-linux5000001500000012---0.101--4.605%
2016-10-29T20:53:43Jocelyn Larouchelow 4M864000864000---0.068--2.232%
2016-12-18T19:36:11Jocelyn Larouchelow 4M720000720000---0.057--2.073%
2017-01-12T03:16:24Jocelyn Larouchelow 4M10368001036800---0.082--2.396%
2017-02-11T17:53:08Jocelyn Larouchelow 4M12441601244160012---0.146--4.876%
2018-01-31T13:05:35Jocelyn Larouchelow 4M18494572488320012---0.244--5.782%
2018-02-09T20:02:42Jocelyn Larouchelow 4M18494574976640012---0.351--6.554%
2018-02-24T22:02:46Jocelyn Larouchelow 4M18494579953280012---0.564--7.334%
2018-09-24T11:55:46Jocelyn Larouchelow 4M184945718494570012---0.930--8.038%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.021--
2016-02-23T16:28:55Mark RoseManual testing258260--0.062--
2010-04-09T00:10:00Architects CubedManual testing260261--0.083--
2016-02-23T16:28:55Mark RoseManual testing261262--0.166--
2011-01-21T16:11:00GrunwalderGIMPManual testing21263--0.863--
2016-02-23T16:28:55Mark RoseManual testing262263--0.531--
2015-04-28T21:21:00snme2pm1Manual testing263264--1.062--
2015-04-28T21:21:00snme2pm1Manual testing264265--2.020--
2015-09-08T08:29:00ramgeisManual testing265266--4.041--
2017-09-01T10:33:56TJAOIManual testing266267--8.081--
2019-06-17T12:14:58TJAOIManual testing267268--16.16--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.966 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:17.966 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.2500.026%
25500000.74647.415%
302500000.04695.502%
3510000000.00299.789%


ECM Summary

B1B2factorcurvesGHz-days
50000500000017712.24
50000500000050.346
500006600000695.380


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-27T00:00:00ANONYMOUSv4_computers2A682B1254FA23800.100
2015-06-27T00:55:00MadPooManual testing2A682B1254FA23800.100


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-08T14:31:22mrhlanai
375150046600695976050721481
FDFF62CF3452D9B3no


P-1 factor-bounds graph:
B1 = 1849457, B2 = 184945700 (P-1 stage 2)
B1 = 1849457, B2 = 99532800 (P-1 stage 2)
B1 = 1849457, B2 = 49766400 (P-1 stage 2)
B1 = 1849457, B2 = 24883200 (P-1 stage 2)
B1 = 1244160, B2 = 12441600 (P-1 stage 2)
B1 = 1849457 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1244160 (P-1 stage 1)
B1 = 1036800 (P-1 stage 1)
B1 = 864000 (P-1 stage 1)
B1 = 720000 (P-1 stage 1)
B1 = 275000, B2 = 6000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 275000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-06-18T16:47:58+00:00