is 2 65123 - 1
has 19604 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
Actual267456.273876.1194 %1000000000923815373481008,658.032828.7035 %9,114.306682.9740 %
Target2440.000063.6364 %500500000.00002.1997 %0.000064.4362 %
Difference+23+456.2737+12.4830 %+999999500+92381537298100+8,658.0328+26.5038%+9,114.3066+18.5377 %

Known prime factors (2 factors, 136.9 bits, 0.21014855% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
65123197925485419991444.170151962813
32 × 17 × 292 × 1181
1999-09-0784111814.980e-51.478e-62.944e-6
6512379610662212948360776561574732892.68561123306829344748227632
24 × 3 × 29 × 139 × 7607 × 258211 × 160829107
2016-10-232582111608291072.364e+100.01550.0281

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-10-23kkmrkkblmbrbkManual testing10000000020000000001222892.6850.35039.981%
2022-10-20George WoltmanSkylakeX100000000092381537348100
skipped known factor: 19792548541999
skipped known factor: 7961066221294836077656157473
--13,58567.429%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2024-02-02masserLegolas25000000177500000027--0.226
2024-02-04masserAragorn25000000177500000065--0.226
2024-02-04masserLegolas25000000177500000014867--0.226


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-09-07ANONYMOUSv4_computers??
44.170
14


ECM factoring results:
Total ECM effort:101.310 GHz-days
Estimated T-Level:32.483
DigitsB1CompleteFacMiss
2011000151.8240.000%
255000028.8590.000%
302500004.1631.556%
3510000000.49760.858%
4030000000.05095.123%
45110000000.00499.567%


ECM Summary

B1B2factorcurvesGHz-days
110001100000300.007
5000050000002740.338
250000250000005853.619
10000001000000002798.088
143732041350409105017.84
166061335546161105015.69
190418053095841265022.96
229361162052900065026.89
30000001378361985045.866


Lucas-Lehmer results:
No L-L results for M65123


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseDoppelherz
19792548541999
7961066221294836077656157473
FD237342616C46F9
2017-09-21Oliver KruseManual testing
19792548541999
7961066221294836077656157473
FD237342616C46F9
2017-11-06kkmrkkblmbrbkc4.xlarge
19792548541999
7961066221294836077656157473
FD237342616C46F9
2020-04-17Oliver KruseAddPrpType5
19792548541999
7961066221294836077656157473
0C71764A85654324
2024-02-03Wentao HuangManual testing
19792548541999
7961066221294836077656157473
0C71764A85654324


CERT results:
No CERT results for M65123


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 92381537348100 (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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109
1010
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=32.48 ~= 91-bit
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Last modified: 2024-03-14T03:48:43+00:00