is 2 2232653 - 1
has 672096 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-L73D3ED82AACA051Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.308867.1642 %1300000110000000.17435.3439 %13.483168.9189 %
Target2620.275264.5161 %110009000000.00571.6317 %0.280865.0951 %
Difference+5+13.0336+2.6481 %+1289000+10100000+0.1687+3.7122%+13.2023+3.8238 %

Known prime factors (1 factor, 79.7 bits, 0.00356826% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22326539596091489981686398480012479.667214903334507908000
25 × 53 × 4813 × 6737 × 1656917
2015-11-266737165691754,8380.00920.0161

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-27ANONYMOUSv4_computers204820480012--0.0010.782%
2010-10-26Oscar Östlin7501175011--0.0071.596%
2011-01-13Oscar Östlin8500016150006--0.0164.414%
2014-05-26JossManual testing113748113748--0.0111.963%
2014-09-30JossManual testing142496142496--0.0142.181%
2015-11-26Alexander DubrovinManual testing1300000110000001222479.6670.1748.361%
2016-04-13alpertronManual testing5000001500000012
skipped known factor: 959609148998168639848001
---8.284%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-03-09ANONYMOUSv4_computers212570.009
1998-03-09ANONYMOUSv4_computers212580.017
2022-03-09LordJuliusManual testing21260
2009-01-11Sturle Sundemorovan.ifi2602610.069
2012-04-20Sebastian HornbostelManual testing2612620.138
2013-12-03LaurVManual testing2622630.440
2015-03-10VictordeHollanderManual testing2632640.879
2015-03-10VictordeHollanderManual testing2642651.674
2015-10-25ramgeisManual testing2652663.347


ECM factoring results:
Total ECM effort:3.745 GHz-days
Estimated T-Level:20.773
DigitsB1CompleteFacMiss
20110001.66019.009%
25500000.15585.680%
302500000.01099.025%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.147
500007000000262.598


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-09ANONYMOUSv4_computers73D3ED82AACA051B0.147
1998-03-09ANONYMOUSv4_computers73D3ED82AACA051B0.147
1999-02-07ANONYMOUSv4_computers73D3ED82AACA051B0.147


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
959609148998168639848001
2E52146726B93BD3
2017-10-28Oliver KruseGTX-0
959609148998168639848001
2E52146726B93BD3


CERT results:
No CERT results for M2232653


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 = 142496 (P-1 stage 1)
B1 = 113748 (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
260
258
257
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=20.77 ~= 52-bit
250
260
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Last modified: 2024-02-29T14:28:04+00:00