is 2 8879293 - 1
has 2672934 decimal digits
takes 2.318 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L20212747FFB8DBD7double-checked
PRP9009E32FD43225FEverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27153.841966.1972%3000000436012500091.013611.2878%144.855670.0128%3.8156%
PrimeNet2640.400962.5000%3600010000000.03353.3196%0.434463.7449%1.2449%
GPU722686.712864.7059%5500012000000.04442.3046%6.757265.5193%0.8134%
Difference+3+47.1291+1.4913%+2945000+4358925000+90.9692+8.9833%+138.0983+4.4935%+4.4935%

Known prime factors (2 factors, 270.0 bits, 0.00304125% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
887929350994862427838411172711063748653752754339128.58428715609693158234091785834609047
3 × 43 × 37591 × 199669 × 230663 × 284819 × 451426361
2022-06-192848194514263611.826e+109.413917.392
8879293382882775525172070347920689809691895799535143141.458215604314175223224612545553913859975
52 × 112 × 43 × 47947 × 405199 × 1940537 × 2767717 × 15885109
2022-06-192767717158851091.489e+101.31852.1326

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
887929319525054463895085599733908095014127860620625854048
08923663962210457688947228452593
82270.042
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-05-11T00:00:00ANONYMOUSv4_computers50000887500---0.036--1.412%
2007-08-14T00:00:00ANONYMOUSv4_computers50000887500---0.036--1.412%
2008-03-03T00:00:00ANONYMOUSv4_computers50000887500---0.036--1.412%
2012-10-26T07:25:00NesowaWork1050001942500---0.078--2.060%
2022-06-19T04:17:34linamentMIWL29999002999900---1.136--3.150%
2022-06-19T18:55:46linamentU2K3000000436012500082270.04291.014.637182.011.288%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-16T00:00:00ANONYMOUSv4_computers21263--0.180--
1999-11-24T00:00:00ANONYMOUSv4_computers21264--0.401--
2014-01-12T19:44:00lycornManual testing264265--0.421--
2015-05-25T09:24:00VictordeHollanderManual testing265266--0.842--
2016-03-08T20:26:56snme2pm1Manual testing266267--1.683--
2018-04-16T16:45:18monstManual testing267268--3.366--
2020-05-08T08:18:44TJAOIManual testing268269--6.733--
2020-10-02T21:51:30-Anonymous-Manual testing269270--13.47--
2021-11-24T10:30:03mikrManual testing270271--26.93--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.191 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:1.191 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.191


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-01-12T00:00:00ANONYMOUSv4_computers339EF22F9CBF71__2.318
2003-10-08T00:00:00Team Prime Ribv4_computers20212747FFB8DBD72.318
2004-02-07T00:00:00ANONYMOUSv4_computers20212747FFB8DBD72.318


PRP results:
dateuseridcompidcofactorsres64PRP
2022-06-26T07:30:12Poaooffice-CN3
509948624278384111727110637486537527543
3828827755251720703479206898096918957995351
9009E32FD43225FEno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 4360125000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2999900 (P-1 stage 1)
B1 = 105000, B2 = 1942500 (P-1 stage 2)
B1 = 105000 (P-1 stage 1)
B1 = 50000, B2 = 887500 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
103
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105
106
107
103
104
105
106
107
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109
1010
TF factor-bounds graph:
271
270
269
268
267
266
265
264
263
250
260
270
280
290
2100
2110
2120
2130
2140
2150
Last modified: 2022-06-26T07:30:12+00:00