is 2 1848617 - 1
has 556490 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-LD413E2BA30DAED14double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26832.243069.1176%18486171848617000.92988.0365%33.172771.5995%2.4819%
PrimeNet2570.010463.1579%90001600000.00143.0227%0.011764.2715%1.1136%
GPU722610.166265.5738%90001500000.00131.6307%0.167566.1352%0.5614%
Difference+7+32.0768+3.5439%+1839617+184711700+0.9285+6.4058%+33.0052+5.4644%+5.4644%

Known prime factors (1 factor, 85.2 bits, 0.00460999% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1848617450936320295776420147054712685.22112196585888147096455
3 × 5 × 813105725876473097
2019-12-2958131057258764730976,234,1943.485e+96.509e+9

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-01-02T10:51:00markrtiny2750006000000---0.046--3.531%
2015-10-06T23:12:11Bruno Victal5820K-linux5000001500000012---0.101--4.605%
2016-10-29T20:53:43Jocelyn Larouchelow 4M864000864000---0.068--2.231%
2016-12-18T19:36:10Jocelyn Larouchelow 4M720000720000---0.057--2.073%
2017-01-12T03:16:23Jocelyn Larouchelow 4M10368001036800---0.082--2.396%
2017-02-11T17:53:08Jocelyn Larouchelow 4M12441601244160012---0.146--4.876%
2018-01-31T13:05:34Jocelyn Larouchelow 4M18486172488320012---0.244--5.781%
2018-02-09T03:27:09Jocelyn Larouchelow 4M18486174976640012---0.351--6.553%
2018-02-24T22:02:46Jocelyn Larouchelow 4M18486179953280012---0.564--7.333%
2018-09-24T11:55:45Jocelyn Larouchelow 4M184861718486170012---0.930--8.037%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.021--
2016-02-23T16:28:55Mark RoseManual testing258260--0.062--
2010-04-08T13:19:00Architects 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--2.021--
2015-09-08T08:29:00ramgeisManual testing265266--4.042--
2017-10-06T10:48:16TJAOIManual testing266267--8.085--
2019-06-17T12:14:58TJAOIManual testing267268--16.17--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.882 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:18.882 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.4820.021%
25500000.76846.393%
302500000.04795.364%
3510000000.00299.782%


ECM Summary

B1B2factorcurvesGHz-days
500005000000755.186
50000500000030.207
50000660000017313.49


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-13T00:00:00ANONYMOUSv4_computersD413E2BA30DAED140.100
2015-07-06T20:15:00MadPooManual testingD413E2BA30DAED140.100


PRP results:
dateuseridcompidcofactorsres64PRP
2019-12-30T13:43:18Christoph ZengerManual testing
45093632029577642014705471
B7871D602800E261no
2019-12-30T13:59:22mrhx
45093632029577642014705471
B7871D602800E261no


P-1 factor-bounds graph:
B1 = 1848617, B2 = 184861700 (P-1 stage 2)
B1 = 1848617, B2 = 99532800 (P-1 stage 2)
B1 = 1848617, B2 = 49766400 (P-1 stage 2)
B1 = 1848617, B2 = 24883200 (P-1 stage 2)
B1 = 1244160, B2 = 12441600 (P-1 stage 2)
B1 = 1848617 (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: 2021-06-11T13:32:20+00:00