is 2 3439129 - 1
has 1035281 decimal digits
takes 0.361 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LF10CEB7DB2DD42FAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26934.714368.1159 %10000001146568501.09536.8905 %35.809670.3129 %
Target2641.035065.6250 %1900017000000.01681.8537 %1.051866.2622 %
Difference+5+33.6793+2.4909 %+981000+112956850+1.0785+5.0368%+34.7578+4.0507 %

Known prime factors (1 factor, 80.0 bits, 0.00232507% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
343912911777042286015128659710232579.962171221293036916159
1367 × 1204447 × 103992391
2021-03-24120444710399239135,6001.03631.6116

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2010-09-23Rob_Deetwopc1000020000--0.0020.526%
2010-09-23Rob_Deetwopc2000030000--0.0030.736%
2010-09-23Rob_Deetwopc3000040000--0.0050.897%
2010-09-24Rob_Deetwopc4000050000--0.0061.032%
2010-09-24Rob_Deetwopc5000060000--0.0081.150%
2010-09-24Rob_Deetwopc6000070000--0.0091.255%
2010-09-24Rob_Deetwopc7000080000--0.0111.351%
2010-09-24Rob_Deetwopc8000090000--0.0121.439%
2010-09-25Rob_Deetwopc90000100000--0.0141.520%
2010-09-25Rob_Deetwopc100000200000--0.0162.076%
2010-09-26Rob_Deetwopc100000400000--0.0182.645%
2010-09-26Rob_Deetwopc100000600000--0.0192.986%
2010-09-26Rob_Deetwopc100000800000--0.0213.230%
2010-09-27Rob_Deetwopc1000001000000--0.0233.421%
2014-09-17HBendtzHAL90075000001000000012--0.1556.738%
2022-02-12JossManual testing1000000114656850--1.14710.483%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-04-27ANONYMOUSv4_computers212590.011
1998-06-01ANONYMOUSv4_computers212590.011
2016-02-23Mark RoseManual testing2592600.022
2009-03-22S485122USB-Z2602610.045
2011-08-01markroldgamer2612620.089
2012-08-18GrunwalderGIMPManual testing212630.464
2016-02-23Mark RoseManual testing2622630.285
2015-02-07VictordeHollanderManual testing2632640.571
2015-02-07VictordeHollanderManual testing2642651.086
2015-04-14Gordon SpenceManual testing2652662.173
2017-02-05Gordon SpenceManual testing2662674.346
2018-08-20TJAOIManual testing2672688.691
2022-01-22JossManual testing267268
2021-01-02axnManual testing26826917.38


ECM factoring results:
Total ECM effort:2.209 GHz-days
Estimated T-Level:3.077
DigitsB1CompleteFacMiss
20110000.61554.043%
25500000.05794.465%
302500000.00499.641%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.062
50000500000010.147


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-06-01ANONYMOUSv4_computersF10CEB7DB2DD42FA0.361
2000-01-12W. Oleinikv4_computersF10CEB7DB2DD42FA0.361


PRP results:
dateuseridcompidcofactorsres64
2021-03-25XZTN4640G1
1177704228601512865971023
C31C7B676BAC6D3B


CERT results:
dateuseridcompid
2021-03-25Krieselmoa


P-1 factor-bounds graph:
B1 = 1000000, B2 = 114656850 (P-1 stage 2)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 100000, B2 = 1000000 (P-1 stage 2)
B1 = 100000, B2 = 800000 (P-1 stage 2)
B1 = 100000, B2 = 600000 (P-1 stage 2)
B1 = 100000, B2 = 400000 (P-1 stage 2)
B1 = 100000, B2 = 200000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 90000, B2 = 100000 (P-1 stage 2)
B1 = 90000 (P-1 stage 1)
B1 = 80000, B2 = 90000 (P-1 stage 2)
B1 = 80000 (P-1 stage 1)
B1 = 70000, B2 = 80000 (P-1 stage 2)
B1 = 70000 (P-1 stage 1)
B1 = 60000, B2 = 70000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 50000, B2 = 60000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 40000, B2 = 50000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
B1 = 30000, B2 = 40000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000, B2 = 30000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 10000, B2 = 20000 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
260
259
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=3.08 ~= -6-bit
250
260
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Last modified: 2024-02-29T14:28:04+00:00