is 2 2254517 - 1
has 678678 decimal digits
takes 0.148 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L33C3953519271EE0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26826.438067.6471 %800000400000000.27995.9391 %26.717969.5685 %
Target2620.272564.5161 %120009500000.00601.7054 %0.278565.1213 %
Difference+6+26.1655+3.1309 %+788000+39050000+0.2739+4.2337%+26.4393+4.4473 %

Known prime factors (1 factor, 68.8 bits, 0.00305093% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22545175081297719334435124072168.784112691492664159
3 × 23 × 67 × 24376269233
2020-03-06672437626923326.438126.62236.48

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-04-03ANONYMOUSv4_computers204820480012--0.0010.784%
2010-11-06JossManual testing1500015000--0.0010.583%
2010-11-14JossManual testing2000020000--0.0020.718%
2010-11-24Oscar Östlin7501175011--0.0071.598%
2011-01-16Oscar Östlin8500016362506--0.0164.433%
2014-06-03JossManual testing113469113469--0.0111.964%
2014-10-03JossManual testing141938141938--0.0142.180%
2016-01-20JossManual testing58905058905006--0.0847.082%
2023-05-13This -Anonymous-Manual testing8000004000000012--0.28010.046%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.068
2009-01-11Sturle Sundegolan.ifi2602610.068
2012-05-04Sebastian HornbostelManual testing2612620.136
2013-01-23dbaughManual testing2622630.435
2015-03-10VictordeHollanderManual testing2632640.871
2015-03-10VictordeHollanderManual testing2642651.657
2015-10-28ramgeisManual testing2652663.315
2017-01-05Gordon SpenceManual testing2662676.629
2019-05-20TJAOIManual testing26726813.26


ECM factoring results:
Total ECM effort:3.896 GHz-days
Estimated T-Level:20.836
DigitsB1CompleteFacMiss
20110001.80816.403%
25500000.16784.598%
302500000.01198.951%


ECM Summary

B1B2factorcurvesGHz-days
500005000000453.724
50000500000020.172


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01ANONYMOUSv4_computers33C3953519271EE00.148
2018-04-23kkmrkkblmbrbkold33C3953519271EE00.148


PRP results:
dateuseridcompidcofactorsres64
2020-03-07Niels_Mache_NextcloudSuperDry-X
508129771933443512407
EE8629D7E865BAC6
2020-03-07marssystemssystem11
508129771933443512407
EE8629D7E865BAC6


CERT results:
No CERT results for M2254517


P-1 factor-bounds graph:
B1 = 800000, B2 = 40000000 (P-1 stage 2)
B1 = 589050, B2 = 5890500 (P-1 stage 2)
B1 = 800000 (P-1 stage 1)
B1 = 589050 (P-1 stage 1)
B1 = 85000, B2 = 1636250 (P-1 stage 2)
B1 = 141938 (P-1 stage 1)
B1 = 113469 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=20.84 ~= 53-bit
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Last modified: 2024-02-29T14:28:04+00:00