is 2 2344571 - 1
has 705787 decimal digits
takes 0.158 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LC28C3CC424805D8Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26825.422567.6471 %60000001800000001.51648.9743 %26.938970.5505 %
Target2620.262064.5161 %1300011000000.00711.8347 %0.269165.1672 %
Difference+6+25.1605+3.1309 %+5987000+178900000+1.5093+7.1396%+26.6698+5.3834 %

Known prime factors (1 factor, 82.1 bits, 0.00350100% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
234457151235863915655410635728972582.0831092649015868050288
24 × 127 × 397 × 1354460887597
2020-08-103971354460887597417,7597,228.613,501

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-21ANONYMOUSv4_computers2048204800--0.0010.793%
2010-03-01Budannan5000001000000012--0.1027.765%
2018-02-03Sid & AndyHand_In_The_Box600000018000000012--1.55713.811%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.066
2009-01-14Sturle Sundebuxtehude.ifi2602610.066
2012-05-29Sebastian HornbostelManual testing2612620.131
2013-01-23dbaughManual testing2622630.419
2015-03-06VictordeHollanderManual testing2632640.837
2015-03-06VictordeHollanderManual testing2642651.594
2015-10-26ramgeisManual testing2652663.187
2017-06-10Gordon SpenceManual testing2662676.375
2019-03-11TJAOIManual testing26726812.75


ECM factoring results:
Total ECM effort:7.167 GHz-days
Estimated T-Level:21.459
DigitsB1CompleteFacMiss
20110003.1544.269%
25500000.29274.691%
302500000.01898.176%


ECM Summary

B1B2factorcurvesGHz-days
500005000000817.078
50000500000010.089


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13Guildensternv4_computersC28C3CC424805D8E0.158
2018-05-08kkmrkkblmbrbkoldC28C3CC424805D8E0.158


PRP results:
dateuseridcompidcofactorsres64
2020-08-10ATHec2-PRPCF
5123586391565541063572897
CD8AD0D724D8D99B


CERT results:
dateuseridcompid
2020-08-11George WoltmanSkylakeX


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)
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101
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TF factor-bounds graph:
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267
266
265
264
263
262
261
260
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.46 ~= 55-bit
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Last modified: 2024-02-29T14:28:04+00:00