is 2 2860289 - 1
has 861033 decimal digits
takes 0.221 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L9985EC9A49A38E9Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.388467.1642 %2100002544059701.57457.2625 %11.963069.5489 %
Target2630.558065.0794 %1600014000000.01021.8684 %0.568265.7318 %
Difference+4+9.8304+2.0848 %+194000+253005970+1.5643+5.3941%+11.3947+3.8171 %

Known prime factors (1 factor, 70.9 bits, 0.00247866% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
286028921983073477920505807372270.897384280635242112
27 × 3 × 7 × 17 × 2833 × 2968409
2016-07-3028332968409148.900.01840.0338

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-28ANONYMOUSv4_computers2048204800--0.0010.686%
2009-07-03Carsten Kossendeymother15000157500--0.0031.550%
2010-12-22JossManual testing2000020000--0.0020.641%
2011-01-03JossManual testing3000030000--0.0040.846%
2011-01-27JossManual testing5000050000--0.0061.159%
2011-01-30markrtiny10500022575006--0.0274.533%
2016-07-30JossManual testing1740624515000622270.8970.0515.583%
2023-04-16Kevin_9611Factor_2210000254405970
skipped known factor: 2198307347792050580737
--1.83710.442%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.054
2009-02-13Sturle Sundeaalto.ifi2602610.054
2012-01-24lycornManual testing2612620.107
2013-01-07dbaughManual testing2622630.343
2015-04-21VictordeHollanderManual testing2632651.993
2016-02-18YxinityManual testing2652662.613


ECM factoring results:
Total ECM effort:1.199 GHz-days
Estimated T-Level:2.308
DigitsB1CompleteFacMiss
20110000.46263.031%
25500000.04395.819%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.199


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27ANONYMOUSv4_computers9985EC9A49A38E9B0.221


PRP results:
dateuseridcompidcofactorsres64
2017-10-22Oliver KruseGTX-1
2198307347792050580737
6D5A6A291A9FDBE7
2017-12-07kkmrkkblmbrbkc4.xlarge
2198307347792050580737
6D5A6A291A9FDBE7


CERT results:
No CERT results for M2860289


P-1 factor-bounds graph:
B1 = 210000, B2 = 254405970 (P-1 stage 2)
B1 = 174062, B2 = 4515000 (P-1 stage 2)
B1 = 105000, B2 = 2257500 (P-1 stage 2)
B1 = 210000 (P-1 stage 1)
B1 = 174062 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 157500 (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)
102
103
104
105
106
102
103
104
105
106
107
108
109
TF factor-bounds graph:
266
265
263
262
261
260
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=2.31 ~= -9-bit
250
260
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Last modified: 2024-03-13T02:15:48+00:00