is 2 8020589 - 1
has 2414438 decimal digits
takes 2.094 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L6EBC267733851BE1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2687.431566.1765 %10000019500000.07602.8692 %7.507567.1469 %
Target2673.704765.6716 %5500060000000.14352.5679 %3.848266.5532 %
Difference+1+3.7268+0.5048 %+45000-4050000-0.0674+0.3013%+3.6593+0.5938 %

Known prime factors (1 factor, 77.1 bits, 0.00096161% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
80205891649790553428905882251932477.12710284721941424164
22 × 3 × 13 × 7451 × 8848168669
2018-12-07745188481686693,816.2182.52340.89

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-06-29Team Prime Ribv4_computers45000731250--0.0312.174%
2012-09-25NesowaEPC10000019500006--0.0763.220%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-08-30ANONYMOUSv4_computers212620.038
1998-08-30ANONYMOUSv4_computers212630.122
2013-08-24David CampeauManual testing2632640.245
2013-12-23David CampeauManual testing2642650.466
2015-04-22snme2pm1Manual testing2652660.932
2015-11-17snme2pm1Manual testing2662671.863
2017-09-07Sid & AndyManual testing2672683.727


ECM factoring results:
Total ECM effort:1.588 GHz-days
Estimated T-Level:0.769
DigitsB1CompleteFacMiss
20110000.15485.740%
25500000.01498.587%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.191
50000500000010.397


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-31ANONYMOUSv4_computers6EBC267733851BE12.094
2002-07-06Team Prime Ribv4_computers6EBC267733851BE12.094


PRP results:
dateuseridcompidcofactorsres64
2018-12-10marcomichsisg6
164979055342890588225193
65758A36D7095916
2020-01-09noknonLIB-srv
164979055342890588225193
65758A36D7095916


CERT results:
No CERT results for M8020589


P-1 factor-bounds graph:
B1 = 100000, B2 = 1950000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 45000, B2 = 731250 (P-1 stage 2)
B1 = 45000 (P-1 stage 1)
102
103
104
105
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=0.77 ~= -14-bit
250
260
270
280
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Last modified: 2024-02-09T03:30:02+00:00