is 2 1778137 - 1
has 535273 decimal digits
takes 0.096 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L8437399404ADB9B9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26833.521069.1176 %17781371955950700.97058.0389 %34.491571.6002 %
Target2610.172865.5738 %80006000000.00321.4558 %0.175966.0749 %
Difference+7+33.3482+3.5439 %+1770137+194995070+0.9674+6.5831%+34.3156+5.5253 %

Known prime factors (1 factor, 78.1 bits, 0.00439164% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
17781373215537231508970837184232478.08990418714404710403
3 × 22273 × 1353188679937
2020-10-0822273135318867993734,4275,799.410,832

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2011-02-02Carsten Kossendeymother9500016150006--0.0144.853%
2014-04-10ANONYMOUSManual testing100000100000--0.0082.026%
2014-05-09JossManual testing136096136096--0.0112.337%
2014-09-18JossManual testing172192172192--0.0142.591%
2015-05-24mikrMSI24754008666000012--0.55612.682%
2018-07-04JossManual testing177813717781370012--0.89413.643%
2018-10-19JossManual testing177813719559507012--0.97113.798%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-01-25ANONYMOUSv4_computers212580.022
2016-02-23Mark RoseManual testing2582600.065
2010-04-20Architects Cubedm1_tt2602610.086
2016-02-23Mark RoseManual testing2612620.173
2011-01-21GrunwalderGIMPManual testing212630.897
2016-02-23Mark RoseManual testing2622630.552
2015-05-08snme2pm1Manual testing2632641.104
2015-05-08snme2pm1Manual testing2642652.101
2015-09-11ramgeisManual testing2652664.203
2018-04-16TJAOIManual testing2662678.405
2019-06-17TJAOIManual testing26726816.81


ECM factoring results:
Total ECM effort:38.453 GHz-days
Estimated T-Level:25.714
DigitsB1CompleteFacMiss
201100014.9150.000%
25500001.68618.527%
302500000.14386.692%
3510000000.01099.021%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025817.66
50000500000050.344
250000400000004820.45


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07ANONYMOUSv4_computers8437399404ADB9B90.096
2015-07-18MadPooManual testing8437399404ADB9B90.096


PRP results:
dateuseridcompidcofactorsres64
2020-10-10arnaudsrv-130
321553723150897083718423
F185053CBE7360D7


CERT results:
dateuseridcompid
2020-10-11Gregescatter11


P-1 factor-bounds graph:
B1 = 1778137, B2 = 195595070 (P-1 stage 2)
B1 = 1778137, B2 = 177813700 (P-1 stage 2)
B1 = 2475400, B2 = 86660000 (P-1 stage 2)
B1 = 2475400 (P-1 stage 1)
B1 = 1778137 (P-1 stage 1)
B1 = 95000, B2 = 1615000 (P-1 stage 2)
B1 = 172192 (P-1 stage 1)
B1 = 136096 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.71 ~= 69-bit
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260
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Last modified: 2024-02-29T14:28:04+00:00