is 2 169181 - 1
has 50929 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LB84B064CAE10A1F4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267175.633973.1343 %10000000020000000000.975512.1824 %176.609476.4072 %
Target2440.000059.0909 %30003000000.00017.8267 %0.000162.2927 %
Difference+23+175.6339+14.0434 %+99997000+1999700000+0.9754+4.3557%+176.6093+14.1145 %

Known prime factors (1 factor, 111.4 bits, 0.06582420% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
169181333666630906076569949697256899817734111.3629861232375564530590010026448
24 × 33 × 11 × 23 × 4259 × 279869099 × 75694501843
2010-11-21279869099756945018437.588e+1121.03536.919

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-05-06ANONYMOUSv4_computers10000010000000--0.00324.136%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00119.963%
2002-07-27ANONYMOUSv4_computers65536655360012--0.00222.568%
2003-02-09ANONYMOUSv4_computers1310721310720030--0.00425.131%
2003-10-08ANONYMOUSv4_computers2621442621440012--0.00827.646%
2009-01-20axnManual testing500000020000000012--0.07535.024%
2017-06-01kkmrkkblmbrbkManual testing100000000200000000012---41.742%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-17ANONYMOUSv4_computers2522530.004
2000-04-19ANONYMOUSv4_computers212540.014
2022-03-07LordJuliusManual testing254255
2001-01-21ANONYMOUSv4_computers212560.057
2002-06-09ANONYMOUSv4_computers212570.113
2022-03-07LordJuliusManual testing257258
2008-12-31Sturle Sundehindemith.ifi2582590.227
2009-01-27Sturle Sundehaydn.ifi2592600.454


ECM factoring results:
Total ECM effort:10.648 GHz-days
Estimated T-Level:29.723
DigitsB1CompleteFacMiss
201100062.3150.000%
25500008.9820.013%
302500000.94538.881%
3510000000.07892.531%
4030000000.00599.482%


ECM Summary

B1B2factorcurvesGHz-days
10.035
5000050000002800.961
250000250000005679.65


Lucas-Lehmer results:
No L-L results for M169181


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
3336666309060765699496972568998177
BEC7B9086AC6E592
2017-09-22Oliver KruseManual testing
3336666309060765699496972568998177
BEC7B9086AC6E592
2017-10-12kkmrkkblmbrbkc4.xlarge
3336666309060765699496972568998177
BEC7B9086AC6E592
2020-04-17Oliver KruseAddPrpType5
3336666309060765699496972568998177
7CD54446288D28DD
2024-02-03Wentao HuangManual testing
3336666309060765699496972568998177
7CD54446288D28DD


CERT results:
dateuseridcompid
2024-02-03Naegi Makoto5700X


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
108
109
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
260
259
258
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=29.72 ~= 82-bit
250
260
270
280
290
2100
2110
2120
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Last modified: 2024-02-29T14:28:04+00:00