is 2 2595589 - 1
has 781351 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-L1787446170ADC640double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26822.963967.6471 %30000001350000001.02508.2790 %23.988970.3256 %
Target2630.614965.0794 %1200010000000.00661.5298 %0.621565.6136 %
Difference+5+22.3490+2.5677 %+2988000+134000000+1.0184+6.7492%+23.3674+4.7120 %

Known prime factors (1 factor, 71.3 bits, 0.00274720% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
259558929193644333251742025612271.306562370320055520
25 × 32 × 5 × 390534944483
2021-01-0532390534944483184.192,139.93,996.8

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-10-31ANONYMOUSv4_computers2048204800--0.0010.668%
2003-11-08Team Prime Ribv4_computers15000206250--0.0031.651%
2010-11-16JossManual testing2000020000--0.0020.627%
2011-01-15JossManual testing5000050000--0.0051.137%
2011-02-25James Heinrichi7-920300000800000012--0.0726.544%
2018-08-11JossManual testing600000600000---3.538%
2018-08-17JossManual testing60000060000006--0.0906.586%
2018-11-24mikrMSI300000013500000012--1.02512.130%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-02-12ANONYMOUSv4_computers212580.015
1999-08-07ANONYMOUSv4_computers212590.015
2016-02-23Mark RoseManual testing2592600.030
2009-01-31Sturle Sundedietrich.ifi2602610.059
2012-06-23Sebastian HornbostelManual testing2612620.118
2013-01-14dbaughManual testing2622630.378
2015-02-27VictordeHollanderManual testing2632640.756
2015-02-27VictordeHollanderManual testing2642651.440
2015-11-06ramgeisManual testing2652662.879
2017-08-20Gordon SpenceManual testing2662675.758
2019-04-08TJAOIManual testing26726811.52


ECM factoring results:
Total ECM effort:8.069 GHz-days
Estimated T-Level:21.584
DigitsB1CompleteFacMiss
20110003.4233.261%
25500000.31772.853%
302500000.02098.022%


ECM Summary

B1B2factorcurvesGHz-days
500005000000827.422
50000500000070.647


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-12ANONYMOUSv4_computers1787446170ADC6400.180
2015-11-14MadPooManual testing1787446170ADC6400.180


PRP results:
dateuseridcompidcofactorsres64
2021-01-05mrhlanai
2919364433325174202561
514F6C0889CD5368


CERT results:
dateuseridcompid
2021-01-05Franklin Webbernu


P-1 factor-bounds graph:
B1 = 3000000, B2 = 135000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 600000, B2 = 6000000 (P-1 stage 2)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 300000 (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)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
258
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=21.58 ~= 55-bit
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Last modified: 2024-02-29T14:28:04+00:00