is 2 2233499 - 1
has 672351 decimal digits
takes 0.147 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD1FA1797903F426Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.303867.1642 %1300000110000000.17435.3442 %13.478168.9190 %
Target2620.275164.5161 %110009500000.00591.6575 %0.281065.1043 %
Difference+5+13.0287+2.6481 %+1289000+10050000+0.1684+3.6866%+13.1971+3.8147 %

Known prime factors (1 factor, 76.7 bits, 0.00343359% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22334991218240523424617993907272476.68927272018555294137
877 × 3299 × 5821 × 1619339
2015-11-26582116193396,852.00.00890.0157

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-27ANONYMOUSv4_computers204820480012--0.0010.783%
2010-10-27Oscar Östlin7501175011--0.0071.596%
2011-01-13Oscar Östlin8500016150006--0.0164.414%
2014-05-26JossManual testing113737113737--0.0111.963%
2014-09-30JossManual testing142474142474--0.0142.181%
2015-11-26Alexander DubrovinManual testing1300000110000001222476.6890.1748.361%
2016-04-15alpertronManual testing5000001500000012
skipped known factor: 121824052342461799390727
---8.285%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-01-11Sturle Sundemorovan.ifi2602610.069
2012-04-20Sebastian HornbostelManual testing2612620.138
2013-01-23dbaughManual testing2622630.440
2015-03-10VictordeHollanderManual testing2632640.879
2015-03-10VictordeHollanderManual testing2642651.673
2015-10-25ramgeisManual testing2652663.346


ECM factoring results:
Total ECM effort:7.537 GHz-days
Estimated T-Level:21.511
DigitsB1CompleteFacMiss
20110003.2443.902%
25500000.30273.919%
302500000.01998.099%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.147
50000687302370.693
500007000000575.697


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21ANONYMOUSv4_computersD1FA1797903F426D0.147


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
121824052342461799390727
B30451829B6AA16C
2017-10-28Oliver KruseGTX-1
121824052342461799390727
B30451829B6AA16C


CERT results:
No CERT results for M2233499


P-1 factor-bounds graph:
B1 = 1300000, B2 = 11000000 (P-1 stage 2)
B1 = 1300000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 85000, B2 = 1615000 (P-1 stage 2)
B1 = 142474 (P-1 stage 1)
B1 = 113737 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (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
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.51 ~= 55-bit
250
260
270
280
JSON version of this page
Last modified: 2024-02-29T14:28:04+00:00