is 2 2842291 - 1
has 855615 decimal digits
takes 0.220 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LF34CB5C98B8D2A55double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26820.970767.6471 %50000002000000001.74989.1711 %22.720570.6142 %
Target2630.561565.0794 %1600013000000.00961.8280 %0.571265.7177 %
Difference+5+20.4092+2.5677 %+4984000+198700000+1.7402+7.3431%+22.1493+4.8965 %

Known prime factors (1 factor, 72.5 bits, 0.00255044% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
284229166361544891503778373292272.4911167395331644504
23 × 1952939 × 74720417
2020-02-05195293974720417479.530.66270.8515

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-28ANONYMOUSv4_computers2048204800--0.0010.685%
2016-10-28JossManual testing190080190080---2.274%
2016-11-03JossManual testing273715273715---2.655%
2017-03-11JossManual testing32845832845806--0.0605.590%
2018-08-30JossManual testing502149502149---3.359%
2018-09-03JossManual testing602578602578---3.587%
2018-09-05JossManual testing656916656916---3.698%
2018-09-12JossManual testing6569161970748---5.180%
2019-05-21BigBrotherWinston10000002000000012--0.2228.620%
2019-10-30masserManual testing28500002850000012--0.5249.674%
2020-02-05masserManual testing50000002000000001222272.4911.92813.177%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.054
2009-02-12Sturle Sundegiacco.ifi2602610.054
2012-01-30lycornManual testing2612620.108
2013-01-10dbaughManual testing2622630.345
2015-04-25VictordeHollanderManual testing2632652.005
2016-02-14ramgeisManual testing2652662.629
2017-11-04Gordon SpenceManual testing2662675.258
2019-01-05chuenkitManual testing26726810.52


ECM factoring results:
Total ECM effort:3.094 GHz-days
Estimated T-Level:20.534
DigitsB1CompleteFacMiss
20110001.15431.542%
25500000.10789.874%
302500000.00799.329%


ECM Summary

B1B2factorcurvesGHz-days
500005000000303.094


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26ANONYMOUSv4_computersF34CB5C98B8D2A550.220
2018-09-14kkmrkkblmbrbkoldF34CB5C98B8D2A550.214


PRP results:
dateuseridcompidcofactorsres64
2020-02-05Christoph ZengerManual testing
6636154489150377837329
C1AF7AB8179FC9D9
2020-02-06oodairacom1
6636154489150377837329
C1AF7AB8179FC9D9


CERT results:
No CERT results for M2842291


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 2850000, B2 = 28500000 (P-1 stage 2)
B1 = 2850000 (P-1 stage 1)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 656916, B2 = 1970748 (P-1 stage 2)
B1 = 656916 (P-1 stage 1)
B1 = 602578 (P-1 stage 1)
B1 = 502149 (P-1 stage 1)
B1 = 328458, B2 = 3284580 (P-1 stage 2)
B1 = 328458 (P-1 stage 1)
B1 = 273715 (P-1 stage 1)
B1 = 190080 (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:
268
267
266
265
263
262
261
260
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=20.53 ~= 52-bit
250
260
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280
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Last modified: 2024-03-13T02:15:48+00:00