is 2 2209903 - 1
has 665248 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-L2B6F7422E74BDA42double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.445867.1642 %2000000650000000.51797.6493 %13.963769.6759 %
Target2620.278064.5161 %110008500000.00541.6015 %0.283465.0844 %
Difference+5+13.1678+2.6481 %+1989000+64150000+0.5125+6.0478%+13.6803+4.5915 %

Known prime factors (1 factor, 72.7 bits, 0.00328949% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
220990376424045307641805014172272.6951729126692611436
22 × 3 × 1319 × 4957 × 22038491
2015-12-09495722038491432.750.11490.2138

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 testing119044119044--0.0112.003%
2014-10-17JossManual testing148088148088--0.0142.215%
2015-11-11Alexander DubrovinManual testing100000025000006--0.1035.976%
2015-12-08Alexander DubrovinManual testing20000001500000012--0.2589.013%
2015-12-09Alexander DubrovinManual testing2000000650000001222272.6950.51811.409%
2016-04-18alpertronManual testing5000001500000012---8.275%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-02-07ANONYMOUSv4_computers212580.017
1999-04-23ANONYMOUSv4_computers212580.017
1999-05-02ANONYMOUSv4_computers212580.017
2022-03-09LordJuliusManual testing21260
2009-01-02Sturle Sundeantonov.ifi2602610.070
2009-01-07Sturle Sundebruckner.ifi2612620.139
2013-01-23dbaughManual testing2622630.444
2015-03-06VictordeHollanderManual testing2632640.888
2015-03-06VictordeHollanderManual testing2642651.691
2015-10-22ramgeisManual testing2652663.381


ECM factoring results:
Total ECM effort:8.229 GHz-days
Estimated T-Level:21.656
DigitsB1CompleteFacMiss
20110003.5652.829%
25500000.33171.806%
302500000.02197.919%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.146
50000621309270.660
500006820357504.925
50000690000080.793
50000715000070.706


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21ANONYMOUSv4_computers2B6F7422E74BDA420.145
1999-04-23ANONYMOUSv4_computers2B6F7422E74BDA420.145
1999-05-02ANONYMOUSv4_computers2B6F7422E74BDA420.145


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
7642404530764180501417
C7B858352297C294
2017-10-25Oliver KruseGTX-0
7642404530764180501417
C7B858352297C294


CERT results:
No CERT results for M2209903


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000, B2 = 15000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000, B2 = 2500000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 90000, B2 = 1665000 (P-1 stage 2)
B1 = 148088 (P-1 stage 1)
B1 = 119044 (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=21.66 ~= 55-bit
250
260
270
280
JSON version of this page
Last modified: 2024-02-29T14:28:04+00:00