is 2 2202359 - 1
has 662977 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-LFA0822FA431784DAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.491967.1642 %2000000500000000.44007.3246 %13.931969.5693 %
Target2620.279064.5161 %110008500000.00541.6004 %0.284465.0840 %
Difference+5+13.2129+2.6481 %+1989000+49150000+0.4346+5.7242%+13.6475+4.4853 %

Known prime factors (1 factor, 77.1 bits, 0.00349889% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22023591573266174531529674117292477.05835717750251696696
23 × 31 × 37 × 120937 × 32186333
2015-12-091209373218633313,8980.17810.3123

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 testing119143119143--0.0112.002%
2014-10-17JossManual testing148286148286--0.0142.215%
2015-10-06Alexander DubrovinManual testing20000020000006--0.0285.128%
2015-11-22Alexander DubrovinManual testing100000050000006--0.1167.033%
2015-11-24Alexander DubrovinManual testing100000080000006--0.1327.750%
2015-12-02Alexander DubrovinManual testing20000001000000012--0.2328.338%
2015-12-09Alexander DubrovinManual testing2000000500000001222477.0580.44010.981%
2016-04-08alpertronManual testing5000001500000012---8.272%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-02-07dswansonv4_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 testing2632640.891
2015-03-03VictordeHollanderManual testing2642651.697
2015-10-21ramgeisManual testing2652663.393


ECM factoring results:
Total ECM effort:14.043 GHz-days
Estimated T-Level:21.780
DigitsB1CompleteFacMiss
20110003.7192.427%
25500000.35670.041%
302500000.02397.734%
3510000000.00199.890%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.145
50000711379470.704
50000216173105010.42
500002702353571.779


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14dswansonv4_computersFA0822FA431784DA0.145


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
157326617453152967411729
F7A0FDBD79AF1082
2017-10-25Oliver KruseGTX-1
157326617453152967411729
F7A0FDBD79AF1082


CERT results:
No CERT results for M2202359


P-1 factor-bounds graph:
B1 = 2000000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000, B2 = 10000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1000000, B2 = 8000000 (P-1 stage 2)
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 = 200000, B2 = 2000000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 90000, B2 = 1642500 (P-1 stage 2)
B1 = 148286 (P-1 stage 1)
B1 = 119143 (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=21.78 ~= 56-bit
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260
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Last modified: 2024-02-29T14:28:04+00:00