is 2 5972779 - 1
has 1797986 decimal digits
takes 1.059 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L9B574C44143F8917double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2689.979466.1765 %360000108900000.23994.8026 %10.219467.8009 %
Target2662.472665.1515 %4000040000000.06572.3460 %2.538365.9691 %
Difference+2+7.5068+1.0250 %+320000+6890000+0.1742+2.4566%+7.6810+1.8318 %

Known prime factors (1 factor, 101.7 bits, 0.00170225% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5972779403836057972463087079131502032931101.672338063787369717753728316
22 × 3 × 23 × 1224868794817817948291
2019-09-212312248687948178179482913.065e+101.715e+133.203e+13

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-01-14ANONYMOUSv4_computers30000367500--0.0121.782%
2001-06-09ANONYMOUSv4_computers2000065000--0.0060.886%
2010-12-09Squeeky_SquirrelP4_26007000011550006--0.0332.877%
2019-07-28USAFSS6917th_Scty_Sq3600001089000012--0.2405.840%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-06-29ANONYMOUSv4_computers212620.051
2016-02-23Mark RoseManual testing2622630.164
2014-10-01NesowaManual testing2632640.329
2014-10-03monstManual testing2642650.626
2015-09-28snme2pm1Manual testing2652661.251
2016-06-18Gordon SpenceManual testing2662672.502
2018-04-11ramgeisManual testing2672685.005


ECM factoring results:
Total ECM effort:2.425 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.617
50000500000030.808


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-10-29ANONYMOUSv4_computers9B574C44143F89171.059
2002-01-22Stephen Woodv4_computers9B574C44143F89171.059


PRP results:
dateuseridcompidcofactorsres64
2019-09-21ATHec2-PRPCF
4038360579724630870791315020329
1105307DDF8CB8AD
2019-09-22GANKA-AC
4038360579724630870791315020329
1105307DDF8CB8AD


CERT results:
No CERT results for M5972779


P-1 factor-bounds graph:
B1 = 360000, B2 = 10890000 (P-1 stage 2)
B1 = 360000 (P-1 stage 1)
B1 = 70000, B2 = 1155000 (P-1 stage 2)
B1 = 70000 (P-1 stage 1)
B1 = 30000, B2 = 367500 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000, B2 = 65000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 66
TF double-checked to: 67
ECM T-Level=1.73 ~= -11-bit
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Last modified: 2024-03-13T02:15:48+00:00