is 2 840703 - 1
has 253077 decimal digits
takes 0.020 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L99CE59A1C5212B3Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26735.344170.1493 %131072131072000.02953.6161 %35.373671.2287 %
Target2440.000054.5455 %1400027500000.005717.5476 %0.005762.5217 %
Difference+23+35.3441+15.6038 %+117072+10357200+0.0237-13.9315 %+35.3679+8.7070 %

Known prime factors (1 factor, 66.2 bits, 0.00787813% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
840703866413242894878939772066.23251529091896596
22 × 3 × 23 × 2659 × 70214219
2010-12-0926597021421917.5670.13460.2512

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.016%
2002-02-10ANONYMOUSv4_computers4096409600--0.00114.932%
2002-04-07ANONYMOUSv4_computers8192819200--0.00217.724%
2002-05-18ANONYMOUSv4_computers163841638400--0.00420.481%
2002-06-15ANONYMOUSv4_computers32768327680012--0.00723.194%
2002-12-02ANONYMOUSv4_computers65537655370012--0.01525.856%
2003-08-08ANONYMOUSv4_computers1310721310720012--0.02928.460%
2009-08-30Carsten Kossendeymother840703840703--0.03019.888%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-08-10ANONYMOUSv4_computers212550.006
2001-01-21ANONYMOUSv4_computers212560.011
2001-10-25ANONYMOUSv4_computers212570.023
2003-09-09ANONYMOUSv4_computers212580.046
2008-10-13Sturle Sundepuddleglum.ifi2582590.046
2008-10-13Sturle Sundepuddleglum.ifi2592600.091
2010-05-17Architects Cubeda3_s22602610.183


ECM factoring results:
Total ECM effort:13.846 GHz-days
Estimated T-Level:25.655
DigitsB1CompleteFacMiss
201100014.7310.000%
25500001.61319.937%
302500000.13187.717%
3510000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
10.056
5000050000002797.657
25000025000000446.133


Lucas-Lehmer results:
No L-L results for M840703


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-2
86641324289487893977
7EB2C4E775CCEE4A
2017-10-14Oliver KruseThreadripper-PC
86641324289487893977
7EB2C4E775CCEE4A
2017-12-17ATHxps
86641324289487893977
7EB2C4E775CCEE4A
2020-04-21Oliver KruseAddPrpType5
86641324289487893977
78C61B5EFCE6F256


CERT results:
No CERT results for M840703


P-1 factor-bounds graph:
B1 = 840703 (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 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
261
260
259
258
257
256
255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
250
260
270
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Last modified: 2024-02-29T14:28:04+00:00