is 2 2589359 - 1
has 779475 decimal digits
takes 0.180 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L21D3F85744252A06double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26711.475467.1642 %2000000600000000.51907.6747 %11.994469.6842 %
Target2630.616465.0794 %1200010000000.00661.5291 %0.623065.6133 %
Difference+4+10.8590+2.0848 %+1988000+59000000+0.5123+6.1456%+11.3714+4.0709 %

Known prime factors (1 factor, 61.1 bits, 0.00235817% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
258935924061379405675642571961.061464620382992
24 × 192 × 80439817
2012-06-22361804398170.17390.44080.8232

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-10-31ANONYMOUSv4_computers2048204800--0.0010.668%
2003-11-08Team Prime Ribv4_computers15000206250--0.0031.650%
2010-11-15JossManual testing2000020000--0.0020.627%
2011-01-13JossManual testing5000050000--0.0051.137%
2011-02-21James Heinrichi7-92017500041125006--0.0395.415%
2019-07-04alpertronManual testing20000006000000012---10.599%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-03-26ANONYMOUSv4_computers212590.015
2022-03-11LordJuliusManual testing21260
2009-02-01Sturle Sundeakerman.ifi2602610.059


ECM factoring results:
Total ECM effort:0.488 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
10.092
50000500000060.395


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-02ANONYMOUSv4_computers21D3F85744252A060.180


PRP results:
dateuseridcompidcofactorsres64
2017-10-15Oliver KruseGTX-0
2406137940567564257
3C20F356D7951A08
2017-12-02kkmrkkblmbrbkc4.xlarge
2406137940567564257
3C20F356D7951A08


CERT results:
No CERT results for M2589359


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 175000, B2 = 4112500 (P-1 stage 2)
B1 = 175000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 15000, B2 = 206250 (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)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
TF factor-bounds graph:
261
260
259
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00