is 2 741121 - 1
has 223100 decimal digits
takes 0.015 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD741139D2F308ACAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26740.093270.1493 %200000052194928508.290111.8929 %48.383373.6994 %
Target2440.000054.5455 %1200022500000.003916.6078 %0.003962.0944 %
Difference+23+40.0932+15.6038 %+1988000+5217242850+8.2862-4.7149 %+48.3794+11.6049 %

Known prime factors (1 factor, 62.3 bits, 0.00840287% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
74112155816586371478085771962.2753765686464928
25 × 117677702029
2010-12-29321176777020290.8290185.67346.78

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-02ANONYMOUSv4_computers2000200000--0.00011.784%
2002-02-03ANONYMOUSv4_computers4096409600--0.00114.689%
2002-03-24ANONYMOUSv4_computers8192819200--0.00217.473%
2002-05-11ANONYMOUSv4_computers163841638400--0.00320.223%
2002-07-14ANONYMOUSv4_computers32768327680012--0.00622.931%
2002-11-24ANONYMOUSv4_computers65537655370012--0.01225.589%
2003-06-30ANONYMOUSv4_computers1310721310720012--0.02428.190%
2016-03-17alpertronManual testing5000001500000012---29.535%
2023-01-18USAFSS6917th_Scty_Sq20000005219492850--10.0746.361%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-09-08ANONYMOUSv4_computers212550.006
2001-03-25ANONYMOUSv4_computers212560.013
2001-12-01ANONYMOUSv4_computers212570.026
2003-09-29ANONYMOUSv4_computers212580.052
2008-10-11Sturle Sundenardi.ifi2582590.052
2008-10-11Sturle Sundenardi.ifi2592600.104
2010-06-17Architects Cubeda3_s22602610.207


ECM factoring results:
Total ECM effort:11.248 GHz-days
Estimated T-Level:25.655
DigitsB1CompleteFacMiss
201100014.7310.000%
25500001.61319.937%
302500000.13187.717%
3510000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
10.045
5000050000002796.215
25000025000000444.988


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-10-19ANONYMOUSv4_computersD741139D2F308ACA0.015


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-0
5581658637147808577
22884257245BDE37
2017-10-13Oliver KruseGTX-2
5581658637147808577
22884257245BDE37
2017-12-16ATHec2-1xh
5581658637147808577
22884257245BDE37
2020-04-20Oliver KruseAddPrpType5
5581658637147808577
88E4A080C429FDF9


CERT results:
No CERT results for M741121


P-1 factor-bounds graph:
B1 = 2000000, B2 = 5219492850 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (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 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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1010
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TF factor-bounds graph:
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260
259
258
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255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
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Last modified: 2024-02-09T03:30:02+00:00