is 2 2210161 - 1
has 665325 decimal digits
takes 0.145 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L59BC6DA4C8447610double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.444267.1642 %500000150000000.12305.1849 %13.567268.8667 %
Target2620.278064.5161 %110008500000.00541.6015 %0.283465.0844 %
Difference+5+13.1663+2.6481 %+489000+14150000+0.1176+3.5834%+13.2838+3.7823 %

Known prime factors (1 factor, 89.0 bits, 0.00402746% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22101616246891703774326638802631932789.013141322096077487717836
22 × 3 × 1039 × 37159 × 107171 × 2846243
2015-11-12107171284624356,725,1750.02440.0276

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-16ANONYMOUSv4_computers204820480012--0.0010.780%
2010-11-06ANONYMOUSManual testing1500015000--0.0010.580%
2010-11-10JossManual testing3000030000--0.0030.939%
2011-01-08markrtiny9000016650006--0.0174.474%
2014-06-24JossManual testing119041119041--0.0112.003%
2014-10-17JossManual testing148082148082--0.0142.215%
2015-11-12Alexander DubrovinManual testing60000025000006--0.0675.861%
2015-11-12Alexander DubrovinManual testing12000005500000622789.0130.1377.237%
2016-04-18alpertronManual testing5000001500000012
skipped known factor: 624689170377432663880263193
---8.275%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-02-07ANONYMOUSv4_computers212580.017
2022-03-09LordJuliusManual testing21260
2009-01-02Sturle Sundeantonov.ifi2602610.069
2009-01-07Sturle Sundebruckner.ifi2612620.139
2013-12-04LaurVManual testing2622630.444
2015-03-06VictordeHollanderManual testing2632640.888
2015-03-06VictordeHollanderManual testing2642651.691
2015-10-22ramgeisManual testing2652663.381


ECM factoring results:
Total ECM effort:13.731 GHz-days
Estimated T-Level:21.775
DigitsB1CompleteFacMiss
20110003.7072.455%
25500000.35570.120%
302500000.02397.742%
3510000000.00199.891%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.146
50000614978170.656
50000208557305010.15
500002702353571.780


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21ANONYMOUSv4_computers59BC6DA4C84476100.145


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
624689170377432663880263193
74FD453961DCEBA0
2017-10-25Oliver KruseGTX-1
624689170377432663880263193
74FD453961DCEBA0


CERT results:
No CERT results for M2210161


P-1 factor-bounds graph:
B1 = 1200000, B2 = 5500000 (P-1 stage 2)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1200000 (P-1 stage 1)
B1 = 600000, B2 = 2500000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 90000, B2 = 1665000 (P-1 stage 2)
B1 = 148082 (P-1 stage 1)
B1 = 119041 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
266
265
264
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.77 ~= 56-bit
250
260
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Last modified: 2024-02-29T14:28:04+00:00