is 2 2309711 - 1
has 695293 decimal digits
takes 0.156 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LA8453A0EF58BECDAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26825.806267.6471 %60000001800000001.51648.9620 %27.322670.5465 %
Target2620.266064.5161 %1200010000000.00641.7390 %0.272465.1332 %
Difference+6+25.5402+3.1309 %+5988000+179000000+1.5099+7.2230%+27.0501+5.4133 %

Known prime factors (1 factor, 81.3 bits, 0.00352131% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
230971130438923965445438440410732581.332658933606097157576
23 × 3 × 17 × 20047 × 80562345901
2020-08-152004780562345901212,032429.95803.03

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-14ANONYMOUSv4_computers2048204800--0.0010.789%
2010-02-18Budannan5000001000000012--0.1027.752%
2018-01-16Sid & AndyHand_In_The_Box600000018000000012--1.55713.794%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.066
2009-01-14Sturle Sundebakeng.ifi2602610.066
2012-05-13Sebastian HornbostelManual testing2612620.133
2013-01-23dbaughManual testing2622630.425
2015-03-03VictordeHollanderManual testing2632640.850
2015-03-03VictordeHollanderManual testing2642651.618
2015-10-22ramgeisManual testing2652663.235
2017-05-30Gordon SpenceManual testing2662676.471
2019-04-29TJAOIManual testing26726812.94


ECM factoring results:
Total ECM effort:7.670 GHz-days
Estimated T-Level:21.566
DigitsB1CompleteFacMiss
20110003.3853.389%
25500000.31373.113%
302500000.02098.044%


ECM Summary

B1B2factorcurvesGHz-days
500005000000877.581
50000500000010.089


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-02PhillTv4_computersA8453A0EF58BECDA0.156
2018-05-03kkmrkkblmbrbkoldA8453A0EF58BECDA0.156


PRP results:
dateuseridcompidcofactorsres64
2020-08-15M Millercruncher
3043892396544543844041073
84DA471495E8F474


CERT results:
dateuseridcompid
2020-08-15Yves de WandelaarVaio


P-1 factor-bounds graph:
B1 = 6000000, B2 = 180000000 (P-1 stage 2)
B1 = 6000000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (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
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=21.57 ~= 55-bit
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Last modified: 2024-02-29T14:28:04+00:00