is 2 58787 - 1
has 17697 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
Actual267505.450576.1194 %59000000029453465429388027,599.674729.5705 %28,105.125283.1810 %
Target2440.000063.6364 %500500000.00002.1366 %0.000064.4133 %
Difference+23+505.4504+12.4830 %+589999500+294534654243880+27,599.6747+27.4339%+28,105.1251+18.7677 %

Known prime factors (2 factors, 45.8 bits, 0.07784585% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
58787470297618.8434
22
-445.940e-136.879e-91.400e-8
58787126979921926.9201080
23 × 33 × 5
2008-08-2627271.521e-104.644e-89.451e-8

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-10-07kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 470297
skipped known factor: 126979921
---39.792%
2023-05-06JacobZPM1Server590000000294534654293880
skipped known factor: 470297
skipped known factor: 126979921
--34,90469.225%


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


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??26.9209


ECM factoring results:
Total ECM effort:87.558 GHz-days
Estimated T-Level:32.741
DigitsB1CompleteFacMiss
2011000166.9900.000%
255000031.8420.000%
302500004.6031.003%
3510000000.54857.799%
4030000000.05594.664%
45110000000.00599.531%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.327
250000250000005853.619
100000010000000037710.64
100000054600000010.061
100000054600000010.061
100000033080597555014.15
172054421315812095010.02
194705825701795035011.97
220631386783717345036.77


Lucas-Lehmer results:
No L-L results for M58787


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
470297
126979921
0FABFAA59DD81F7C
2017-09-21Oliver KruseManual testing
470297
126979921
0FABFAA59DD81F7C
2017-10-13kkmrkkblmbrbkManual testing
470297
126979921
0FABFAA59DD81F7C
2020-04-17Oliver KruseAddPrpType5
470297
126979921
10C28C74753E6C00
2024-02-03Wentao HuangManual testing
470297
126979921
10C28C74753E6C00


CERT results:
No CERT results for M58787


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=32.74 ~= 92-bit
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Last modified: 2024-02-09T10:45:35+00:00