is 2 5579579 - 1
has 1679621 decimal digits
takes 0.881 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD5244660D66D0582double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272171.398968.0556%5000000642358899081.219511.0174%252.618471.5750%3.5195%
PrimeNet2620.110162.9032%240005500000.01213.1688%0.122264.0788%1.1755%
GPU722662.646965.1515%360007000000.01652.1886%2.663465.9142%0.7627%
Difference+6+168.7520+2.9040%+4964000+6422888990+81.2029+8.8289%+249.9550+5.6608%+2.7568%

Known prime factors (2 factors, 213.4 bits, 0.00382515% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
55795792521451424017678621238157372787.70422595355527878345492
22 × 7 × 283 × 545213 × 5230082141
2022-09-1354521352300821419,328,35365.365121.86
55795797020613355898355897544287772896736836138125.7236291346852422338582843156959420
22 × 5 × 7 × 192 × 22639 × 880703 × 3852341 × 1620678809
2022-09-13385234116206788092.789e+1021.05337.763

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
557957917702135543707443041500318469099692422472712123578
395144567697057
65213.427
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-10-22T00:00:00Richard Otterv4_computers25000262500---0.009--0.629%
2010-12-05T01:17:00Squeeky_SquirrelP4_2600650001023750---0.027--1.271%
2019-10-01T22:48:09GdSD_Po200000600000012---0.118--2.526%
2022-09-13T04:06:12Sid & AndySpeck5000000642358899065213.42781.221.762162.411.017%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-10-29T00:00:00ANONYMOUSv4_computers21262--0.110--
2009-04-20T00:59:00GrunwalderGIMPManual testing262263--0.176--
2014-12-21T20:59:00NesowaManual testing263264--0.352--
2014-12-22T03:56:00monstManual testing264265--0.670--
2015-09-03T07:43:00snme2pm1Manual testing265266--1.339--
2016-08-01T01:09:44Gordon SpenceManual testing266267--2.679--
2018-07-05T15:05:44ramgeisManual testing267268--5.357--
2020-08-24T12:45:01TJAOIManual testing268269--10.71--
2021-08-18T05:58:49SRBaseManual testing269270--21.43--
2021-08-30T16:10:30SRBaseManual testing270271--42.86--
2021-10-13T15:06:28SRBaseManual testing271272--85.72--


ECM factoring results:
Total ECM effort:2.161 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000092.161


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-03-27T00:00:00ANONYMOUSv4_computersD5244660D66D05820.881
2000-11-25T00:00:00Richard Otterv4_computersD5244660D66D05820.881


PRP results:
dateuseridcompidcofactorsres64PRP
2022-09-18T18:38:31Perigbreagan
252145142401767862123815737
70206133558983558975442877728967368361
FF3539CB05A1F9B8no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 6423588990 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 200000, B2 = 6000000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 65000, B2 = 1023750 (P-1 stage 2)
B1 = 65000 (P-1 stage 1)
B1 = 25000, B2 = 262500 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2022-09-18T18:38:31+00:00