is 2 59669 - 1
has 17963 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Assigned as ECM on 2024-02-18, 0.0% done, ETC 2024-02-25
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267497.979176.1194 %58000000026154677232684024,508.602329.4151 %25,006.581483.1439 %
Target2440.000063.6364 %500500000.00002.1457 %0.000064.4166 %
Difference+23+497.9791+12.4830 %+579999500+261546772276840+24,508.6023+27.2694%+25,006.5814+18.7273 %

Known prime factors (4 factors, 223.5 bits, 0.37455754% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5966942364991825.336355
5 × 71
-5717.491e-111.478e-81.750e-8
59669530023019691135.625444136
23 × 72 × 11 × 103
2008-08-26491037.671e-88.933e-81.715e-7
59669208443713365492523377372374.142174666672279988372
22 × 11 × 101 × 39303931656163
2009-06-201013930393165616364,1183,682.96,878.6
596694058163512611511993663467932788.3913400562698060560754884
22 × 3 × 271 × 1045683486488487317
2016-12-3127110456834864884873171.051e+997,983,447183,005,793

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-10-10kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 42364991
skipped known factor: 53002301969
---39.819%
2023-05-15JacobZPM1Server580000000261546772326840
skipped known factor: 42364991
skipped known factor: 53002301969
skipped known factor: 20844371336549252337737
--30,99569.019%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-07ATHcolab-Pp215000000150000000027--0.176


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??35.62511


ECM factoring results:
Total ECM effort:125.127 GHz-days
Estimated T-Level:32.537
DigitsB1CompleteFacMiss
2011000149.3200.000%
255000027.4500.000%
302500004.0781.694%
3510000000.50760.208%
4030000000.05494.704%
45110000000.00599.489%


ECM Summary

B1B2factorcurvesGHz-days
10.033
5000050000003490.416
250000250000001881.163
250000250000003772.333
100000010000000034610.04
1000000375000000010.393
1000000375000000010.393
1000000375000000010.393
203101059696550095025.72
3000000160809148505085.02


Lucas-Lehmer results:
No L-L results for M59669


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOllaptop
42364991
53002301969
20844371336549252337737
405816351261151199366346793
107C151ED2800A66
2017-09-21Oliver KruseManual testing
42364991
53002301969
20844371336549252337737
405816351261151199366346793
107C151ED2800A66
2017-11-06kkmrkkblmbrbkc4.xlarge
42364991
53002301969
20844371336549252337737
405816351261151199366346793
107C151ED2800A66
2020-04-17Oliver KruseAddPrpType5
42364991
53002301969
20844371336549252337737
405816351261151199366346793
3310678AF0E2DA6D
2024-02-03Wentao HuangManual testing
42364991
53002301969
20844371336549252337737
405816351261151199366346793
3310678AF0E2DA6D


CERT results:
No CERT results for M59669


P-1 factor-bounds graph:
B1 = 580000000, B2 = 261546772326840 (P-1 stage 2)
B1 = 580000000 (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=32.54 ~= 91-bit
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Last modified: 2024-02-22T09:58:04+00:00