is 2 965329 - 1
has 290593 decimal digits
takes 0.023 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L361F63B9B01280E2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26730.781170.1493 %100000005000000001.290310.6147 %32.071573.3178 %
Target2440.000054.5455 %1600032500000.006818.4082 %0.006862.9128 %
Difference+23+30.7811+15.6038 %+9984000+496750000+1.2836-7.7935 %+32.0647+10.4050 %

Known prime factors (1 factor, 82.2 bits, 0.00851318% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
96532954789929444887489986976972582.1802837888918953408112
24 × 13 × 13643696725737539
2015-01-1716136436967257375391,983,61026,137,91248,818,341

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.273%
2002-03-03ANONYMOUSv4_computers4096409600--0.00115.201%
2002-05-05ANONYMOUSv4_computers8192819200--0.00218.002%
2002-05-11Jossv4_computers60006000--0.0005.444%
2002-05-11Jossv4_computers50005000--0.0005.000%
2002-05-25ANONYMOUSv4_computers163841638400--0.00420.766%
2002-08-03ANONYMOUSv4_computers32768327680012--0.00723.484%
2003-01-16ANONYMOUSv4_computers65536655360012--0.01526.150%
2003-09-29ANONYMOUSv4_computers1310721310720012--0.02928.757%
2011-06-04JossManual testing200000200000--0.00715.651%
2011-07-14JossManual testing208665208665--0.00715.783%
2011-09-24JossManual testing347776347776--0.01217.376%
2012-02-06JossManual testing695552695552--0.02419.535%
2012-07-14JossManual testing965407965407--0.03420.551%
2013-10-24David Campeaui5-2500k9950003184000012--0.09432.620%
2014-03-08alpertronManual testing1000000050000000012--1.29041.412%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-06-23ANONYMOUSv4_computers212550.005
2000-11-15ANONYMOUSv4_computers212560.010
2001-11-24ANONYMOUSv4_computers212570.020
2003-08-25ANONYMOUSv4_computers212580.040
2022-03-07LordJuliusManual testing258260
2010-05-13Architects Cubedm1_tt2602610.159
2014-03-09lycornManual testing2612620.318


ECM factoring results:
Total ECM effort:16.309 GHz-days
Estimated T-Level:25.651
DigitsB1CompleteFacMiss
201100015.0570.000%
25500001.61519.886%
302500000.13087.787%
3510000000.00999.138%


ECM Summary

B1B2factorcurvesGHz-days
50000500001502.719
5000050000002617.275
50000500000030.085
25000025000000446.230


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-11-02ANONYMOUSv4_computers361F63B9B01280E20.023


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-3
5478992944488748998697697
5E6F128970B35EC2
2017-10-15Oliver KruseThreadripper-PC
5478992944488748998697697
5E6F128970B35EC2
2017-12-25ATHec2-1xh
5478992944488748998697697
5E6F128970B35EC2
2020-04-24Oliver KruseAddPrpType5
5478992944488748998697697
AAAD244CDBD05F50


CERT results:
No CERT results for M965329


P-1 factor-bounds graph:
B1 = 10000000, B2 = 500000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 995000, B2 = 31840000 (P-1 stage 2)
B1 = 995000 (P-1 stage 1)
B1 = 965407 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 695552 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 347776 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 208665 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 6000 (P-1 stage 1)
B1 = 5000 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
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Last modified: 2024-03-13T02:15:48+00:00