is 2 2485649 - 1
has 748255 decimal digits
takes 0.172 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L8CD2E1D2275260F9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26823.979667.6471 %2382500857701000.69657.5495 %24.676170.0896 %
Target2630.642165.0794 %110008000000.00541.3805 %0.647565.5614 %
Difference+5+23.3375+2.5677 %+2371500+84970100+0.6911+6.1691%+24.0286+4.5281 %

Known prime factors (1 factor, 78.3 bits, 0.00315067% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
24856493759067076945850521135292478.31575615404205216636
22 × 32 × 2100427894589351
2021-05-209210042789458935124,62811,509,35321,496,266

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-10-14ANONYMOUSv4_computers2048204800--0.0010.661%
2003-10-31Team Prime Ribv4_computers15000228750--0.0031.687%
2010-12-22JossManual testing2000020000--0.0020.621%
2011-01-22Oscar Östlin9500019475006--0.0204.243%
2014-09-03JossManual testing120822120822--0.0121.805%
2014-11-13mikrMSI23825008577010012--0.69711.223%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-20riccardo ubertiColab_noGPU1525000005000000027--0.637
2021-05-20riccardo ubertiColab_noGPU1525000005000000065--0.637


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-05-02ANONYMOUSv4_computers212590.015
2016-02-23Mark RoseManual testing2592600.031
2009-01-15Sturle Sundegobi.ifi2602610.062
2012-06-10Sebastian HornbostelManual testing2612620.124
2013-12-04Jerry HallettManual testing2622630.395
2015-03-03VictordeHollanderManual testing2632640.790
2015-03-03VictordeHollanderManual testing2642651.503
2015-10-30ramgeisManual testing2652663.006
2017-07-22Gordon SpenceManual testing2662676.013
2019-06-10TJAOIManual testing26726812.03


ECM factoring results:
Total ECM effort:11.423 GHz-days
Estimated T-Level:22.243
DigitsB1CompleteFacMiss
20110004.8460.786%
25500000.44963.858%
302500000.02897.211%
3510000000.00199.868%


ECM Summary

B1B2factorcurvesGHz-days
50000500000012211.05
50000515000040.372


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09ANONYMOUSv4_computers8CD2E1D2275260F90.172


PRP results:
dateuseridcompidcofactorsres64
2021-05-20riccardo ubertiNomad2C
375906707694585052113529
76FB0D6479C53170


CERT results:
dateuseridcompid
2021-05-20George Woltmanz170itx1


P-1 factor-bounds graph:
B1 = 2382500, B2 = 85770100 (P-1 stage 2)
B1 = 2382500 (P-1 stage 1)
B1 = 95000, B2 = 1947500 (P-1 stage 2)
B1 = 120822 (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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TF factor-bounds graph:
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this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=22.24 ~= 57-bit
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Last modified: 2024-03-03T02:29:32+00:00