is 2 1884193 - 1
has 567199 decimal digits
takes 0.102 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA618B629E1DD5668double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26831.634269.1176%21499082355241251.16938.4483%32.803571.7267%2.6090%
PrimeNet2570.010263.1579%90001600000.00143.0333%0.011564.2754%1.1175%
GPU722610.163065.5738%100001500000.00141.6922%0.164466.1563%0.5826%
Difference+7+31.4711+3.5439%+2139908+235374125+1.1679+6.7561%+32.6391+5.5703%+5.5703%

Known prime factors:
No known factors for M1884193

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-01-16T02:11:00markrtiny2750006000000---0.046--3.540%
2015-10-07T18:35:43Bruno Victal5820K-linux5000001500000012---0.101--4.616%
2016-09-17T03:17:57Jocelyn Larouchelow 4M5000003000000012---0.166--5.230%
2016-12-24T02:11:46Jocelyn Larouchelow 4M720000720000---0.057--2.079%
2016-12-28T01:38:24Jocelyn Larouchelow 4M864000864000---0.068--2.237%
2017-01-21T06:59:36Jocelyn Larouchelow 4M10368001036800---0.082--2.403%
2017-03-01T23:52:29Jocelyn Larouchelow 4M12441601244160012---0.146--4.886%
2017-05-06T15:58:37Jocelyn Larouchelow 4M14929921492992012---0.175--5.149%
2017-05-13T16:12:41Jocelyn Larouchelow 4M17915901791590012---0.210--5.418%
2017-05-29T03:23:26Jocelyn Larouchelow 4M21499083869834412---0.326--6.362%
2018-02-17T20:09:09Jocelyn Larouchelow 4M21499087739668812---0.492--7.157%
2018-03-18T21:10:31Jocelyn Larouchelow 4M214990821499080012---1.081--8.342%
2018-11-26T12:54:01Jocelyn LaroucheManual testing214990823552412512---1.169--8.448%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-09T00:00:00ANONYMOUSv4_computers21258--0.020--
2016-02-23T16:28:56Mark RoseManual testing258260--0.061--
2010-04-01T14:42:00Architects CubedManual testing260261--0.082--
2016-02-23T16:28:56Mark RoseManual testing261262--0.163--
2011-03-08T05:15:00GrunwalderGIMPManual testing21263--0.847--
2016-02-23T16:28:56Mark RoseManual testing262263--0.521--
2015-05-09T22:18:00snme2pm1Manual testing263264--1.042--
2015-05-09T22:18:00snme2pm1Manual testing264265--1.983--
2015-09-13T19:11:00ramgeisManual testing265266--3.966--
2018-05-28T14:40:33TJAOIManual testing266267--7.932--
2019-06-24T09:35:59TJAOIManual testing267268--15.86--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.793 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:17.793 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110009.7980.006%
25500000.90640.434%
302500000.05794.441%
3510000000.00399.733%


ECM Summary

B1B2factorcurvesGHz-days
50000500000020614.28
500006600000453.518


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-13T00:00:00ANONYMOUSv4_computersA618B629E1DD56680.102
1999-09-30T00:00:00ANONYMOUSv4_computersA618B629E1DD56680.102
2015-07-04T19:28:00MadPooManual testingA618B629E1DD56680.102


PRP results:
No PRP results for M1884193


P-1 factor-bounds graph:
B1 = 2149908, B2 = 235524125 (P-1 stage 2)
B1 = 2149908, B2 = 214990800 (P-1 stage 2)
B1 = 2149908, B2 = 77396688 (P-1 stage 2)
B1 = 2149908, B2 = 38698344 (P-1 stage 2)
B1 = 1791590, B2 = 17915900 (P-1 stage 2)
B1 = 1492992, B2 = 14929920 (P-1 stage 2)
B1 = 2149908 (P-1 stage 1)
B1 = 500000, B2 = 30000000 (P-1 stage 2)
B1 = 1244160, B2 = 12441600 (P-1 stage 2)
B1 = 1791590 (P-1 stage 1)
B1 = 1492992 (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: 2021-10-20T13:19:04+00:00