is 2 1811923 - 1
has 545444 decimal digits
takes 0.098 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFD581D95102DBCE7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26832.895969.1176%18119231811923000.91137.9821%33.807271.5827%2.4650%
PrimeNet2570.010663.1579%80001500000.00122.8737%0.011864.2166%1.0587%
GPU722610.169565.5738%90001300000.00121.5565%0.170866.1096%0.5358%
Difference+7+32.7264+3.5439%+1802923+181062300+0.9101+6.4256%+33.6365+5.4731%+5.4731%

Known prime factors (1 factor, 81.2 bits, 0.00448116% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
181192327681029306310525986194332581.195763857771724033692
22 × 3 × 463 × 1021 × 134655631967
2020-04-201021134655631967302,577577.101,077.9

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-11T06:19:00Carsten Kossendeyleela1000001650000---0.015--2.198%
2014-05-12T10:21:00Jocelyn LaroucheManual testing135423135423---0.011--0.924%
2014-09-20T22:31:00Jocelyn LaroucheManual testing170846170846---0.013--1.050%
2015-05-16T12:50:00mikrMSI278000091760000---0.600--7.482%
2018-09-20T11:55:04Jocelyn Larouchelow 4M181192318119230012---0.911--7.982%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.021--
2016-02-23T16:28:53Mark RoseManual testing258260--0.064--
2010-04-17T18:46:00Architects Cubeda3_bu2260261--0.085--
2016-02-23T16:28:53Mark RoseManual testing261262--0.170--
2011-01-21T16:10:00GrunwalderGIMPManual testing21263--0.881--
2016-02-23T16:28:53Mark RoseManual testing262263--0.542--
2015-04-22T21:30:00snme2pm1Manual testing263264--1.084--
2015-04-22T21:30:00snme2pm1Manual testing264265--2.062--
2015-09-02T13:37:00ramgeisManual testing265266--4.124--
2018-04-09T13:44:24TJAOIManual testing266267--8.248--
2019-07-17T09:51:53TJAOIManual testing267268--16.50--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.361 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:18.361 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.3790.023%
25500000.75846.842%
302500000.04795.425%
3510000000.00299.785%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001238.486
50000500000010.069
5000065000001279.81


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computersFD581D95102DBCE70.098
2015-06-27T00:57:00MadPooManual testingFD581D95102DBCE70.098


PRP results:
dateuseridcompidcofactorsres64PRP
2020-04-20T08:07:27Christoph ZengerManual testing
2768102930631052598619433
62F34D71D1638A3Dno
2020-04-20T08:28:58CrypticCluecruncher
2768102930631052598619433
62F34D71D1638A3Dno


P-1 factor-bounds graph:
B1 = 1811923, B2 = 181192300 (P-1 stage 2)
B1 = 2780000, B2 = 91760000 (P-1 stage 2)
B1 = 2780000 (P-1 stage 1)
B1 = 1811923 (P-1 stage 1)
B1 = 100000, B2 = 1650000 (P-1 stage 2)
B1 = 170846 (P-1 stage 1)
B1 = 135423 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-02-26T17:52:55+00:00