is 2 2497801 - 1
has 751914 decimal digits
takes 0.173 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LE26DA190D562AA2Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26823.862967.6471 %2382500857701000.69657.5533 %24.559570.0908 %
Target2630.639065.0794 %110008000000.00541.3818 %0.644465.5619 %
Difference+5+23.2240+2.5677 %+2371500+84970100+0.6911+6.1714%+23.9151+4.5289 %

Known prime factors (1 factor, 82.1 bits, 0.00328697% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
249780151896831658297705561584172582.1021038850405983056808
23 × 32 × 67 × 215350415833967
2020-06-2567215350415833967392,1321,180,0192,203,946

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-10-23ANONYMOUSv4_computers2048204800--0.0010.661%
2003-10-31Team Prime Ribv4_computers15000228750--0.0031.689%
2010-12-22JossManual testing2000020000--0.0020.622%
2011-01-25Oscar Östlin9500019712506--0.0204.257%
2014-09-10JossManual testing120696120696--0.0121.806%
2014-12-14mikrMSI23825008577010012--0.69711.228%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-08-16ANONYMOUSv4_computers212590.015
2016-02-23Mark RoseManual testing2592600.031
2009-01-11Sturle Sundeeberlin.ifi2602610.061
2012-06-11Sebastian HornbostelManual testing2612620.123
2013-12-04Jerry HallettManual testing2622630.393
2015-03-03VictordeHollanderManual testing2632640.786
2015-03-03VictordeHollanderManual testing2642651.496
2015-10-31ramgeisManual testing2652662.992
2017-07-27Gordon SpenceManual testing2662675.983
2019-03-11TJAOIManual testing26726811.97


ECM factoring results:
Total ECM effort:3.797 GHz-days
Estimated T-Level:20.765
DigitsB1CompleteFacMiss
20110001.65419.131%
25500000.15385.811%
302500000.01099.039%


ECM Summary

B1B2factorcurvesGHz-days
500005000000423.705
50000500000010.092


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-26ANONYMOUSv4_computersE26DA190D562AA2E0.173
2018-06-01kkmrkkblmbrbkoldE26DA190D562AA2E0.173


PRP results:
dateuseridcompidcofactorsres64
2020-06-25M MillerManual testing
5189683165829770556158417
F3AF2468CD9796B9
2020-11-09kutenssol
5189683165829770556158417
F3AF2468CD9796B9


CERT results:
dateuseridcompid
2020-11-09curtiscgrn201--24l


P-1 factor-bounds graph:
B1 = 2382500, B2 = 85770100 (P-1 stage 2)
B1 = 2382500 (P-1 stage 1)
B1 = 95000, B2 = 1971250 (P-1 stage 2)
B1 = 120696 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
B1 = 15000, B2 = 228750 (P-1 stage 2)
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)
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100
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1010
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1015
TF factor-bounds graph:
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267
266
265
264
263
262
261
260
259
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=20.77 ~= 52-bit
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Last modified: 2024-02-09T03:30:02+00:00