is 2 2436971 - 1
has 733602 decimal digits
takes 0.165 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD819EF2162E39593double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26948.989868.1159 %1988120695841800.55556.5919 %49.545370.2177 %
Target2630.654965.0794 %100007500000.00491.3062 %0.659865.5355 %
Difference+6+48.3349+3.0366 %+1978120+68834180+0.5506+5.2857%+48.8855+4.6822 %

Known prime factors (1 factor, 85.7 bits, 0.00351513% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2436971612400145083805586802252332685.66312564781137810125496
23 × 32 × 547 × 319032630962069
2022-01-095473190326309620693,215,3581,702,6423,180,061

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-10-14ANONYMOUSv4_computers2048204800--0.0010.657%
2003-10-31Team Prime Ribv4_computers15000217500--0.0031.656%
2010-11-17JossManual testing2000020000--0.0020.618%
2011-01-10Oscar Östlin9500019237506--0.0204.220%
2014-05-11mikrMSI19881206958418012--0.55610.765%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-03-15Ethan O'Connorv4_computers212590.016
2016-02-23Mark RoseManual testing2592600.032
2009-01-15Sturle Sundegouache.ifi2602610.063
2012-06-05Sebastian HornbostelManual testing2612620.126
2013-12-04Jerry HallettManual testing2622630.403
2015-02-27VictordeHollanderManual testing2632640.806
2015-02-27VictordeHollanderManual testing2642651.533
2015-10-25ramgeisManual testing2652663.066
2017-07-08Gordon SpenceManual testing2662676.133
2019-06-03TJAOIManual testing26726812.27
2021-07-12TJAOIManual testing26826924.53


ECM factoring results:
Total ECM effort:13.845 GHz-days
Estimated T-Level:22.769
DigitsB1CompleteFacMiss
20110005.9840.252%
25500000.55457.471%
302500000.03596.565%
3510000000.00299.837%


ECM Summary

B1B2factorcurvesGHz-days
50000500000013511.96
50000500000060.535
50000520000070.635
50000675000070.716


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15Ethan O'Connorv4_computersD819EF2162E395930.165
2018-05-23kkmrkkblmbrbkoldD819EF2162E395930.165


PRP results:
dateuseridcompidcofactorsres64
2022-01-09LordJuliusWhitebox
61240014508380558680225233
EC190E687F8D50C3


CERT results:
dateuseridcompid
2022-01-09Ben Deloi-077d04dabd738f640


P-1 factor-bounds graph:
B1 = 1988120, B2 = 69584180 (P-1 stage 2)
B1 = 1988120 (P-1 stage 1)
B1 = 95000, B2 = 1923750 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (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=22.77 ~= 59-bit
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Last modified: 2024-02-29T14:28:04+00:00