is 2 58831 - 1
has 17710 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
Actual267505.072576.1194 %59000000029453465429388027,599.674729.5715 %28,104.747183.1812 %
Target2440.000063.6364 %500500000.00002.1371 %0.000064.4135 %
Difference+23+505.0724+12.4830 %+589999500+294534654243880+27,599.6747+27.4344%+28,104.7471+18.7678 %

Known prime factors (4 factors, 210.9 bits, 0.35848976% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
58831588311619.1665
5
-151.187e-122.095e-93.500e-9
5883115997325531030.57513596
22 × 3 × 11 × 103
2008-08-26111032.431e-92.754e-83.850e-8
588317249100022976747648742632479.2626160952578552759301
6160952578552759301
2010-04-30161609525785527593012,081,100577,298,3701.078e+9
5883145104982924811945417743912581.90038334367021478425845
3 × 5 × 449 × 5691813960130427
2016-12-2844956918139601304278,324,409533,339996,128

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-10-07kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 588311
skipped known factor: 1599732553
---39.793%
2023-05-06JacobZPM1Server590000000294534654293880
skipped known factor: 588311
skipped known factor: 1599732553
--34,90469.227%


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??
30.575
10


ECM factoring results:
Total ECM effort:112.954 GHz-days
Estimated T-Level:33.223
DigitsB1CompleteFacMiss
2011000175.1180.000%
255000033.5430.000%
302500005.1230.596%
3510000000.64552.492%
4030000000.06993.327%
45110000000.00699.359%


ECM Summary

B1B2factorcurvesGHz-days
10.001
5000050000002800.327
250000250000004662.883
250000250000001190.736
100000010000000037110.36
100000054600000010.061
100000054600000010.061
188893831642891395014.31
2152731109952605945046.05
252066365349545785028.41
30000001813618170509.80


Lucas-Lehmer results:
No L-L results for M58831


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOllaptopAF60DB9EA788EB__
2017-09-21Oliver KruseManual testingAF60DB9EA788EB__
2017-10-02kkmrkkblmbrbkManual testing
588311
1599732553
724910002297674764874263
4510498292481194541774391
AF60DB9EA788EB3B
2017-12-07ATHxps
588311
1599732553
724910002297674764874263
4510498292481194541774391
AF60DB9EA788EB3B
2020-04-17Oliver KruseAddPrpType5
588311
1599732553
724910002297674764874263
4510498292481194541774391
9AF9ADC515004597
2024-02-03Wentao HuangManual testing
588311
1599732553
724910002297674764874263
4510498292481194541774391
9AF9ADC515004597


CERT results:
No CERT results for M58831


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)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=33.22 ~= 94-bit
250
260
270
280
290
2100
JSON version of this page
Last modified: 2024-03-04T23:50:08+00:00