is 2 2733371 - 1
has 822827 decimal digits
takes 0.211 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L3F0242E09ACBE818double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26821.806467.6471 %7200008685495005.37589.1687 %27.182270.6134 %
Target2630.583965.0794 %1400012000000.00881.7071 %0.592765.6755 %
Difference+5+21.2225+2.5677 %+706000+867349500+5.3670+7.4617%+26.5895+4.9379 %

Known prime factors (1 factor, 69.4 bits, 0.00253938% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27333717847549379646260830712169.411143550754355085
3 × 5 × 7 × 11 × 37 × 71 × 47311141
2020-10-04714731114176.4840.28870.5392

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-16ANONYMOUSv4_computers2048204800--0.0010.677%
2003-11-28Team Prime Ribv4_computers15000225000--0.0031.710%
2010-12-19JossManual testing2000020000--0.0020.634%
2010-12-28JossManual testing3000030000--0.0040.838%
2011-01-19JossManual testing5000050000--0.0061.149%
2011-02-28James Heinrichi7-920300000800000012--0.0816.585%
2018-07-07JossManual testing60000060000006--0.1106.626%
2023-04-18Kevin_9611Factor_2720000868549500
skipped known factor: 784754937964626083071
--5.92413.577%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-08-07ANONYMOUSv4_computers212590.014
2016-02-23Mark RoseManual testing2592600.028
2009-01-28Sturle Sundeiago.ifi2602610.056
2012-04-09markroldgamer2612620.112
2013-01-14dbaughManual testing2622630.359
2015-04-13VictordeHollanderManual testing2632652.085
2016-02-02ramgeisManual testing2652662.734
2017-10-05Gordon SpenceManual testing2662675.468
2019-02-15chuenkitManual testing26726810.94


ECM factoring results:
Total ECM effort:4.794 GHz-days
Estimated T-Level:20.854
DigitsB1CompleteFacMiss
20110001.84615.784%
25500000.17184.297%
302500000.01198.928%


ECM Summary

B1B2factorcurvesGHz-days
500005000000464.586
50000500000020.208


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-04Dry Creek Photov4_computers3F0242E09ACBE8180.211
2018-08-09kkmrkkblmbrbkold3F0242E09ACBE8180.206


PRP results:
dateuseridcompidcofactorsres64
2020-10-05Xyzzyi5-10600K
784754937964626083071
8D2EEDB53FC99C34


CERT results:
dateuseridcompid
2020-10-05ChellePC3__2x__Xeon6142


P-1 factor-bounds graph:
B1 = 720000, B2 = 868549500 (P-1 stage 2)
B1 = 600000, B2 = 6000000 (P-1 stage 2)
B1 = 720000 (P-1 stage 1)
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 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 225000 (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
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
263
262
261
260
259
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=20.85 ~= 53-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00