is 2 2598259 - 1
has 782154 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-LEB2E005B045C484Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26822.940367.6471 %32000001120000000.91808.0877 %23.858370.2637 %
Target2630.614365.0794 %1200010000000.00661.5301 %0.620965.6137 %
Difference+5+22.3260+2.5677 %+3188000+111000000+0.9114+6.5576%+23.2374+4.6500 %

Known prime factors (1 factor, 68.8 bits, 0.00264809% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25982595153665983532174648312168.80499175370575685
5 × 3041 × 6522549857
2020-07-023041652254985737.60735.74166.753

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-10-31ANONYMOUSv4_computers2048204800--0.0010.668%
2003-11-08Team Prime Ribv4_computers15000217500--0.0031.677%
2010-11-16JossManual testing2000020000--0.0020.627%
2011-01-15JossManual testing5000050000--0.0051.138%
2011-04-18James HeinrichWHS17500041562506--0.0395.429%
2016-08-31mikrMSI320000011200000012--0.91811.871%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.059
2009-01-30Sturle Sundenouchcraft.ifi2602610.059
2012-06-23Sebastian HornbostelManual testing2612620.118
2013-01-14dbaughManual testing2622630.378
2015-02-27VictordeHollanderManual testing2632652.194
2015-11-05ramgeisManual testing2652662.876
2017-08-21Gordon SpenceManual testing2662675.752
2019-03-11TJAOIManual testing26726811.50


ECM factoring results:
Total ECM effort:3.077 GHz-days
Estimated T-Level:20.623
DigitsB1CompleteFacMiss
20110001.34626.024%
25500000.12588.289%
302500000.00899.217%


ECM Summary

B1B2factorcurvesGHz-days
500005000000332.892
50000500000020.185


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27ANONYMOUSv4_computersEB2E005B045C484A0.180
2018-06-25kkmrkkblmbrbkoldEB2E005B045C484A0.180


PRP results:
dateuseridcompidcofactorsres64
2020-07-02riccardo ubertiColab_noGPU12
515366598353217464831
58538A0F8A866B73
2020-07-03marssystemssystem03
515366598353217464831
58538A0F8A866B73


CERT results:
No CERT results for M2598259


P-1 factor-bounds graph:
B1 = 3200000, B2 = 112000000 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 175000, B2 = 4156250 (P-1 stage 2)
B1 = 175000 (P-1 stage 1)
B1 = 50000 (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)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
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=20.62 ~= 52-bit
250
260
270
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00