is 2 58889 - 1
has 17728 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267504.575076.1194 %59000000029453465429388027,599.674729.5727 %28,104.249783.1815 %
Target2440.000063.6364 %500500000.00002.1377 %0.000064.4137 %
Difference+23+504.5750+12.4830 %+589999500+294534654243880+27,599.6747+27.4351%+28,104.2497+18.7679 %

Known prime factors (2 factors, 92.9 bits, 0.15773439% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
588891433480749131237.0611217104
24 × 7 × 10867
-16108673.109e-71.044e-61.901e-6
58889639357453583119771755.827542849643892
22 × 135712410973
2009-06-2041357124109730.081512.71723.751

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-10-07kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 143348074913
---39.795%
2023-05-06JacobZPM1Server590000000294534654293880
skipped known factor: 143348074913
skipped known factor: 63935745358311977
--34,90469.229%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-06ATHcolab-Pp215000000150000000027--0.275


Trial Factoring results:
5758596061626364656667
No TF results for M58889


ECM factoring results:
Total ECM effort:77.357 GHz-days
Estimated T-Level:32.731
DigitsB1CompleteFacMiss
2011000166.4130.000%
255000031.7350.000%
302500004.5871.019%
3510000000.54657.912%
4030000000.05594.683%
45110000000.00599.533%


ECM Summary

B1B2factorcurvesGHz-days
10.002
5000050000002790.325
250000250000005853.619
100000010000000037410.61
100000055134387010.061
100000055134387010.061
100000033080597555014.15
171628226107027265011.94
171628230265734375013.62
219415352676936655023.03


Lucas-Lehmer results:
No L-L results for M58889


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KrusePRP
143348074913
63935745358311977
452A93360BAC92FD
2017-09-21Oliver KruseManual testing
143348074913
63935745358311977
452A93360BAC92FD
2017-10-13kkmrkkblmbrbkManual testing
143348074913
63935745358311977
452A93360BAC92FD
2020-04-17Oliver KruseAddPrpType5
143348074913
63935745358311977
E402E66599BAB1E7
2024-02-03Wentao HuangManual testing
143348074913
63935745358311977
E402E66599BAB1E7


CERT results:
No CERT results for M58889


P-1 factor-bounds graph:
B1 = 590000000, B2 = 294534654293880 (P-1 stage 2)
B1 = 590000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=32.73 ~= 92-bit
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Last modified: 2024-02-09T03:30:02+00:00