is 2 52859 - 1
has 15913 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
Actual267562.135476.1194%66000000082076369316942063,940.663930.8871%64,502.799383.4954%
Target2440.000063.6364%500800000.00002.0727%0.000164.3901%
Difference+23+562.1354+12.4830%+659999500+820763693089420+63,940.6639+28.8143%+64,502.7993+19.1053%

Known prime factors (2 factors, 179.6 bits, 0.33984995% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
52859165661523678391443.913156701341
19 × 617 × 13367
-617133672.304e-51.875e-61.944e-6
528597214281534404013331063878815168888904043341135.728682408060538793141287564919424212424
23 × 19 × 953 × 157597883 × 626716613 × 47696451849901
2023-04-14626716613476964518499012.998e+123,716.56,939.9

1 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-25kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 16566152367839
--0.291--11.181%
2023-04-14JacobZGreatLakes66000000082076369316942041135.72863,9410.000127,88130.887%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-27ATHcolab-Pp115000000150000000027--0.146
2021-11-12fbaurubuntu50000000400000000065--0.410


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-08-31ANONYMOUSv4_computers??43.913148.68503e-70.0001.76125e-6


ECM factoring results:
Total ECM effort:28.870 GHz-days
Estimated T-Level:32.514
DigitsB1CompleteFacMiss
2011000168.7320.000%
255000030.7920.000%
302500004.3471.295%
3510000000.50360.478%
4030000000.04995.244%
45110000000.00499.600%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.289
250000250000005843.004
100000010000000055711.46
10000003308014710102.353
100000033080597555011.76


Lucas-Lehmer results:
No L-L results for M52859


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseDoppelherz
16566152367839
537CE0CFC3C895__no
2017-09-21Oliver KruseManual testing
16566152367839
537CE0CFC3C895__no
2017-10-13kkmrkkblmbrbkManual testing
16566152367839
537CE0CFC3C895__no
2020-04-17Oliver KruseManual testing
16566152367839
7E09E77C7FD7C3__no
2023-04-14JacobZGreatLakes
16566152367839
72142815344040133310638788151688889040433
7E09E77C7FD7C34Fno


P-1 factor-bounds graph:
B1 = 660000000, B2 = 820763693169420 (P-1 stage 2)
B1 = 660000000 (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:
2
this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=32.51 ~= 91-bit
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Last modified: 2023-09-20T05:46:25+00:00