is 2 1943923 - 1
has 585180 decimal digits
takes 0.105 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD2BA61FC6C97D9C8double-checked
PRPEB71EA05A0185038verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26830.662269.1176%19439231943923000.97778.1737%31.639971.6419%2.5242%
PrimeNet2580.019863.7931%80001400000.00122.4653%0.020964.6857%0.8926%
GPU722620.316066.1290%8000900000.00101.1523%0.317066.5193%0.3903%
Difference+6+30.3461+2.9886%+1935923+194302300+0.9767+7.0214%+31.3228+5.1225%+5.1225%

Known prime factors (1 factor, 72.0 bits, 0.00370429% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
194392347504342961729055905672272.0091221867917652321
32 × 17 × 7986064821257
2020-09-01177986064821257698.6934,22663,925

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-12-12T12:34:00markrtiny2750006000000---0.046--3.555%
2015-10-08T14:04:39Bruno Victal5820K-linux5000001500000012---0.101--4.634%
2016-12-16T01:10:44Jocelyn Larouchelow 4M568903568903---0.045--1.893%
2016-12-17T04:40:29Jocelyn Larouchelow 4M682683682683---0.054--2.043%
2016-12-24T21:06:40Jocelyn Larouchelow 4M819219819219---0.064--2.200%
2017-01-04T23:07:23Jocelyn Larouchelow 4M983062983062---0.077--2.364%
2017-04-13T01:58:15Jocelyn Larouchelow 4M14156081415608012---0.166--5.090%
2018-02-04T03:38:02Jocelyn Larouchelow 4M19439232831216012---0.266--5.980%
2018-02-11T11:28:49Jocelyn Larouchelow 4M19439235662432012---0.387--6.763%
2018-02-28T12:59:34Jocelyn Larouchelow 4M194392311324864012---0.630--7.553%
2018-09-17T11:34:58Jocelyn Larouchelow 4M194392319439230012---0.978--8.174%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-12-21T00:00:00Ethan O'Connorv4_computers21258--0.020--
2016-02-23T16:28:59Mark RoseManual testing258260--0.059--
2010-01-25T10:24:00S485122USB-W260261--0.079--
2016-02-23T16:28:59Mark RoseManual testing261262--0.158--
2011-08-27T22:18:00GrunwalderGIMPManual testing21263--0.821--
2016-02-23T16:28:59Mark RoseManual testing262263--0.505--
2015-05-04T23:08:00lycornManual testing263264--1.010--
2015-05-04T23:09:00lycornManual testing264265--1.922--
2015-09-06T20:47:00ramgeisManual testing265266--3.844--
2017-10-27T12:33:02TJAOIManual testing266267--7.688--
2019-05-11T16:32:14chuenkitManual testing267268--15.38--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.968 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:18.968 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.4700.021%
25500000.75946.828%
302500000.04795.420%
3510000000.00299.785%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001419.81
50000500000020.139
5000075000001089.022


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00ANONYMOUSv4_computersD2BA61FC6C97D9C80.105
2015-06-27T00:56:00MadPooManual testingD2BA61FC6C97D9C80.105


PRP results:
dateuseridcompidcofactorsres64PRP
2020-09-02T01:07:58CrypticClueManual testing
4750434296172905590567
EB71EA05A0185038no


P-1 factor-bounds graph:
B1 = 1943923, B2 = 194392300 (P-1 stage 2)
B1 = 1943923, B2 = 113248640 (P-1 stage 2)
B1 = 1943923, B2 = 56624320 (P-1 stage 2)
B1 = 1943923, B2 = 28312160 (P-1 stage 2)
B1 = 1415608, B2 = 14156080 (P-1 stage 2)
B1 = 1943923 (P-1 stage 1)
B1 = 1415608 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 983062 (P-1 stage 1)
B1 = 819219 (P-1 stage 1)
B1 = 682683 (P-1 stage 1)
B1 = 275000, B2 = 6000000 (P-1 stage 2)
B1 = 568903 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 275000 (P-1 stage 1)
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Last modified: 2022-04-21T11:52:06+00:00