is 2 66529 - 1
has 20028 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
Actual267446.631174.6269 %10000000009238970652912010,686.619928.7304 %11,133.251081.9167 %
Target2440.000061.3636 %500500000.00002.2130 %0.000062.2187 %
Difference+23+446.6310+13.2632 %+999999500+92389706479120+10,686.6199+26.5173%+11,133.2509+19.6980 %

Known prime factors (2 factors, 123.1 bits, 0.18507907% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6652917430599824.055131
131
-11313.455e-111.716e-82.920e-8
665296681717705160363220468332639273099.0765021658002645735859901947
3 × 37 × 389 × 2969 × 39170972531062297
2017-01-112969391709725310622972.812e+124,530,0148,460,805

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-11-02kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 17430599
---40.021%
2022-10-05George WoltmanSkylakeX10000000001000000000
skipped known factor: 17430599
--2.69935.359%
2022-10-13George WoltmanSkylakeX100000000092389706529120
skipped known factor: 17430599
--13,58667.468%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2024-02-03masserLegolas25000000177500000027--0.286
2024-02-05masserAragorn25000000177500000065--0.286
2024-02-06masserLegolas25000000177500000013041--0.286


Trial Factoring results:
5758596061626364656667
No TF results for M66529


ECM factoring results:
Total ECM effort:140.798 GHz-days
Estimated T-Level:32.403
DigitsB1CompleteFacMiss
2011000149.4910.000%
255000028.3260.000%
302500004.0601.726%
3510000000.48161.838%
4030000000.04895.318%
45110000000.00499.590%


ECM Summary

B1B2factorcurvesGHz-days
110001100000300.009
5000050000002740.417
250000250000005574.350
25000025000000280.219
10000001000000002739.200
138873349621121555026.72
161328740227402855022.18
185692668678872575036.92
225419675434201215040.78


Lucas-Lehmer results:
No L-L results for M66529


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOllaptop
17430599
668171770516036322046833263927
6BF0FB41B216FEC1
2017-09-21Oliver KruseManual testing
17430599
668171770516036322046833263927
6BF0FB41B216FEC1
2017-09-21Oliver KruseManual testing
17430599
668171770516036322046833263927
6BF0FB41B216FEC1
2017-11-06kkmrkkblmbrbkc4.xlarge
17430599
668171770516036322046833263927
6BF0FB41B216FEC1
2020-04-17Oliver KruseAddPrpType5
17430599
668171770516036322046833263927
CF146BF3E4C17949
2024-02-03Wentao HuangManual testing
17430599
668171770516036322046833263927
CF146BF3E4C17949


CERT results:
No CERT results for M66529


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 92389706529120 (P-1 stage 2)
B1 = 1000000000 (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=32.4 ~= 91-bit
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Last modified: 2024-03-15T10:58:27+00:00