is 2 1984397 - 1
has 597364 decimal digits
takes 0.130 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LEBA6A26DAB6481EBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26830.036869.1176 %19843972480496251.46738.4884 %31.504171.7391 %
Target2620.309666.1290 %80005000000.00331.1978 %0.312966.5347 %
Difference+6+29.7272+2.9886 %+1976397+247549625+1.4640+7.2907%+31.1912+5.2044 %

Known prime factors (1 factor, 78.5 bits, 0.00395659% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
19843974317331034127274106806812478.514108781938143609220
22 × 32 × 5 × 7 × 409 × 211087705483
2019-12-1840921108770548330,8491,096.42,047.8

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2011-01-23kurlyhex10000003000000012--0.2469.654%
2018-01-21JossManual testing12057601205760---4.786%
2018-01-22JossManual testing19843973000000012--0.33510.046%
2018-02-15JossManual testing19843976000000012--0.49111.166%
2018-03-11JossManual testing198439712000000012--0.80212.273%
2018-05-21JossManual testing198439719843970012--1.21013.069%
2018-11-26JossManual testing198439724804962512--1.46713.419%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-12-27ANONYMOUSv4_computers212580.019
2016-02-23Mark RoseManual testing2582600.058
2009-12-16S485122USB-W2602610.077
2016-02-23Mark RoseManual testing2612620.155
2011-07-01GrunwalderGIMPManual testing212630.804
2016-02-23Mark RoseManual testing2622630.495
2015-03-12lycornManual testing2632640.989
2015-03-12lycornManual testing2642651.883
2015-09-11ramgeisManual testing2652663.766
2017-12-25TJAOIManual testing2662677.532
2019-05-18chuenkitManual testing26726815.06


ECM factoring results:
Total ECM effort:24.746 GHz-days
Estimated T-Level:25.319
DigitsB1CompleteFacMiss
201100010.5930.003%
25500001.00036.787%
302500000.06493.827%
3510000000.00399.701%


ECM Summary

B1B2factorcurvesGHz-days
500005000000483.558
50000500000010.073
50000706420870.600
50000750000020220.51


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-02ANONYMOUSv4_computersEBA6A26DAB6481EB0.130
2015-07-10MadPooManual testingEBA6A26DAB6481EB0.130


PRP results:
dateuseridcompidcofactorsres64
2019-12-19mnd975211backdoor
431733103412727410680681
E4A5A86365A4E2A4
2019-12-21Chang Chia-Tcheex03
431733103412727410680681
E4A5A86365A4E2A4


CERT results:
No CERT results for M1984397


P-1 factor-bounds graph:
B1 = 1984397, B2 = 248049625 (P-1 stage 2)
B1 = 1984397, B2 = 198439700 (P-1 stage 2)
B1 = 1984397, B2 = 120000000 (P-1 stage 2)
B1 = 1984397, B2 = 60000000 (P-1 stage 2)
B1 = 1984397, B2 = 30000000 (P-1 stage 2)
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1984397 (P-1 stage 1)
B1 = 1205760 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
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TF factor-bounds graph:
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267
266
265
264
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=25.32 ~= 67-bit
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Last modified: 2024-02-29T14:28:04+00:00