is 2 831739 - 1
has 250379 decimal digits
takes 0.017 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L086EAC925CDD9E00double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26735.725170.1493 %1200000400000000.09606.0718 %35.821071.9617 %
Target2440.000054.5455 %1400027500000.004717.5270 %0.004762.5123 %
Difference+23+35.7250+15.6038 %+1186000+37250000+0.0912-11.4552 %+35.8163+9.4495 %

Known prime factors (1 factor, 78.0 bits, 0.00937938% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8317393047513197354124484759772478.012183201292554162092
22 × 7 × 103 × 268747 × 236368529
2014-02-0826874723636852973,6010.38030.6966

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-10-15ANONYMOUSv4_computers1000002000000--0.00622.912%
2002-05-18ANONYMOUSv4_computers163841638400--0.00320.459%
2002-06-09ANONYMOUSv4_computers32768327680012--0.00623.171%
2002-12-09ANONYMOUSv4_computers65537655370012--0.01225.833%
2003-07-30ANONYMOUSv4_computers1310721310720012--0.02428.437%
2008-11-25markrManual testing12000004000000012--0.09933.063%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-08-01ANONYMOUSv4_computers212550.006
2001-01-28ANONYMOUSv4_computers212560.012
2001-10-20ANONYMOUSv4_computers212570.023
2003-09-09ANONYMOUSv4_computers212580.046
2008-10-14Sturle Sundemaugrim.ifi2582590.046
2008-10-14Sturle Sundemaugrim.ifi2592600.092
2010-05-23Architects Cubeda3_bu22602610.185


ECM factoring results:
Total ECM effort:11.391 GHz-days
Estimated T-Level:25.650
DigitsB1CompleteFacMiss
201100014.5380.000%
25500001.59520.295%
302500000.13087.815%
3510000000.00999.137%


ECM Summary

B1B2factorcurvesGHz-days
10.161
5000050000002746.185
25000025000000445.046


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-11-05ANONYMOUSv4_computers086EAC925CDD9E000.017


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-0
304751319735412448475977
266DF9353EDAC3F2
2017-10-14Oliver KruseGTX-1
304751319735412448475977
266DF9353EDAC3F2
2017-12-18ATHec2-1xh
304751319735412448475977
266DF9353EDAC3F2
2020-04-21Oliver KruseAddPrpType5
304751319735412448475977
FB1FDE9D5BE439E6


CERT results:
No CERT results for M831739


P-1 factor-bounds graph:
B1 = 1200000, B2 = 40000000 (P-1 stage 2)
B1 = 1200000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 100000, B2 = 2000000 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65537 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
261
260
259
258
257
256
255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
250
260
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280
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Last modified: 2024-03-03T02:29:32+00:00