is 2 1866547 - 1
has 561887 decimal digits
takes 0.101 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9F050E291E227F36double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26715.919268.6567%2149908773966880.49167.7754%16.410871.0938%2.4371%
PrimeNet2570.010363.1579%90001600000.00143.0281%0.011664.2735%1.1156%
GPU722610.164665.5738%100001500000.00141.6890%0.166066.1552%0.5815%
Difference+6+15.7546+3.0829%+2139908+77246688+0.4902+6.0864%+16.2448+4.9386%+4.9386%

Known prime factors (1 factor, 72.7 bits, 0.00389594% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
186654777764487800602524396332272.7202083110894089528
23 × 577 × 451280522983
2018-02-26577451280522983759.481,934.13,612.3

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-01-08T01:00:00markrtiny2750006000000---0.046--3.927%
2015-10-07T06:42:30Bruno Victal5820K-linux5000001500000012---0.101--5.081%
2016-09-05T18:28:58Jocelyn Larouchelow4M5000003000000012---0.166--5.744%
2016-09-30T05:55:09Jocelyn Larouchelow 4M500000330000006---0.179--5.836%
2016-10-07T05:52:37Jocelyn Larouchelow 4M500000396000006---0.207--6.014%
2016-11-03T20:53:41Jocelyn Larouchelow 4M600000600000---0.047--2.159%
2016-12-19T18:36:38Jocelyn Larouchelow 4M720000720000---0.057--2.324%
2016-12-30T23:10:09Jocelyn Larouchelow 4M864000864000---0.068--2.496%
2017-01-14T05:24:38Jocelyn Larouchelow 4M10368001036800---0.082--2.675%
2017-02-19T20:41:22Jocelyn Larouchelow 4M12441601244160012---0.146--5.354%
2017-03-25T20:16:12Jocelyn Larouchelow 4M14929921492992012---0.175--5.634%
2017-05-22T21:10:27Jocelyn Larouchelow 4M17915901791590012---0.210--5.920%
2017-06-14T03:17:00Jocelyn Larouchelow 4M21499083869834412---0.326--6.927%
2018-02-17T12:12:00Jocelyn Larouchelow 4M21499087739668812---0.492--7.775%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-09T00:00:00ANONYMOUSv4_computers21258--0.021--
2016-02-23T16:28:56Mark RoseManual testing258260--0.062--
2010-04-06T23:36:00Architects CubedManual testing260261--0.082--
2016-02-23T16:28:55Mark RoseManual testing261262--0.165--
2011-03-08T05:14:00GrunwalderGIMPManual testing21263--0.855--
2016-02-23T16:28:55Mark RoseManual testing262263--0.526--
2015-05-07T23:39:00snme2pm1Manual testing263264--1.052--
2015-05-07T23:39:00snme2pm1Manual testing264265--2.002--
2015-09-10T08:47:00ramgeisManual testing265266--4.004--


ECM factoring results:

Old Calculation Method

Total ECM effort:19.153 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:19.153 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.5440.019%
25500000.77446.121%
302500000.04895.327%
3510000000.00299.780%


ECM Summary

B1B2factorcurvesGHz-days
500005000000483.323
50000500000020.138
50000660000020115.69


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-13T00:00:00ANONYMOUSv4_computers9F050E291E227F360.101
2015-06-28T05:06:00MadPooManual testing9F050E291E227F360.101


PRP results:
dateuseridcompidcofactorsres64PRP
2018-02-26T16:47:53ATHec2-1xd
7776448780060252439633
44FDA5BC049D3E__no
2018-02-27T09:06:33arnaudstm-11-010
7776448780060252439633
44FDA5BC049D3E__no


P-1 factor-bounds graph:
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 = 500000, B2 = 39600000 (P-1 stage 2)
B1 = 500000, B2 = 33000000 (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 = 600000 (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: 2021-08-13T08:30:38+00:00