is 2 2412593 - 1
has 726263 decimal digits
takes 0.163 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L4EA73A6DA432CB70double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27099.043168.5714 %3102822434395080.51925.7727 %99.562370.3857 %
Target2630.661565.0794 %100007000000.00471.2762 %0.666265.5250 %
Difference+7+98.3815+3.4921 %+3092822+42739508+0.5145+4.4965%+98.8961+4.8607 %

Known prime factors (1 factor, 81.0 bits, 0.00335714% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
241259324080542496160529099718892580.994499059362606136408
23 × 32 × 19 × 137 × 3769 × 706511777
2020-12-113769706511777101,4953.77097.0424

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-10-08ANONYMOUSv4_computers2048204800--0.0010.655%
2010-11-09JossManual testing1500015000--0.0020.497%
2010-11-16JossManual testing2000020000--0.0020.617%
2010-12-20markrtiny9500019237506--0.0204.214%
2014-03-16mikrMSI31028224343950812--0.51910.246%


Trial Factoring results:
5758596061626364656667686970
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-03-15ANONYMOUSv4_computers212590.016
2016-02-23Mark RoseManual testing2592600.032
2009-01-15Sturle Sundetristan.ifi2602610.064
2012-06-03Sebastian HornbostelManual testing2612620.127
2013-12-04Jerry HallettManual testing2622630.407
2015-02-27VictordeHollanderManual testing2632640.814
2015-02-27VictordeHollanderManual testing2642651.549
2015-10-22ramgeisManual testing2652663.097
2017-07-02Gordon SpenceManual testing2662676.195
2019-02-26Anton RepkoManual testing26726937.17
2019-04-05YxinityManual testing26927049.56


ECM factoring results:
Total ECM effort:9.749 GHz-days
Estimated T-Level:21.954
DigitsB1CompleteFacMiss
20110004.2131.481%
25500000.39167.646%
302500000.02597.556%
3510000000.00199.884%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001039.112
50000500000050.445
766201500000010.191


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15ANONYMOUSv4_computers4EA73A6DA432CB700.163


PRP results:
dateuseridcompidcofactorsres64
2020-12-12JayderBlack_Adder
2408054249616052909971889
C7A07709865995BE
2020-12-12Kirill Frolovshodan1
2408054249616052909971889
C7A07709865995BE


CERT results:
dateuseridcompid
2020-12-12ANONYMOUSCel1w10
2020-12-12Ben Deloi-0c0a4bf4226bf2686


P-1 factor-bounds graph:
B1 = 3102822, B2 = 43439508 (P-1 stage 2)
B1 = 3102822 (P-1 stage 1)
B1 = 95000, B2 = 1923750 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
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)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
270
269
267
266
265
264
263
262
261
260
259
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=21.95 ~= 56-bit
250
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Last modified: 2024-02-29T14:28:04+00:00