is 2 2202041 - 1
has 662881 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-L887A72260A5CFC9Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.493867.1642 %500000150000000.12305.1826 %13.616868.8659 %
Target2620.279064.5161 %110008500000.00541.6003 %0.284465.0840 %
Difference+5+13.2148+2.6481 %+489000+14150000+0.1176+3.5823%+13.3324+3.7820 %

Known prime factors (1 factor, 80.6 bits, 0.00365899% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
220204117977374673318769718165832580.572408198000702956251
97 × 2621 × 350089 × 4586207
2015-11-233500894586207111,2000.05540.0679

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-16ANONYMOUSv4_computers204820480012--0.0010.780%
2010-11-05JossManual testing1500015000--0.0010.580%
2010-11-09JossManual testing3000030000--0.0030.938%
2011-01-10markrtiny9000016425006--0.0174.458%
2014-07-04JossManual testing119148119148--0.0112.002%
2014-10-17JossManual testing148296148296--0.0142.215%
2015-10-03Alexander DubrovinManual testing30000030000006--0.0435.823%
2015-11-23Alexander DubrovinManual testing10000005000000622580.5720.1167.033%
2016-04-07alpertronManual testing5000001500000012
skipped known factor: 1797737467331876971816583
---8.272%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-02-07ANONYMOUSv4_computers212580.017
2022-03-09LordJuliusManual testing21260
2009-01-03Sturle Sundegerle.ifi2602610.070
2009-01-06Sturle Sundegouffy.ifi2612620.139
2013-12-04LaurVManual testing2622630.446
2015-03-03VictordeHollanderManual testing2632640.892
2015-03-03VictordeHollanderManual testing2642651.697
2015-10-21ramgeisManual testing2652663.394


ECM factoring results:
Total ECM effort:14.907 GHz-days
Estimated T-Level:21.779
DigitsB1CompleteFacMiss
20110003.7192.427%
25500000.35670.056%
302500000.02397.736%
3510000000.00199.890%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.145
50000699655470.698
50000240197105011.29
500002702353571.778


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07ANONYMOUSv4_computers887A72260A5CFC9F0.145


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
1797737467331876971816583
F43CE82EC99C0982
2017-10-25Oliver KruseGTX-2
1797737467331876971816583
F43CE82EC99C0982


CERT results:
No CERT results for M2202041


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000, B2 = 5000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 300000, B2 = 3000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 90000, B2 = 1642500 (P-1 stage 2)
B1 = 148296 (P-1 stage 1)
B1 = 119148 (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
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=21.78 ~= 56-bit
250
260
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Last modified: 2024-02-29T14:28:04+00:00