is 2 7203341 - 1
has 2168422 decimal digits
takes 1.571 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD45E9624C26BEE18double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2674.125065.6716 %18000040950000.12444.0864 %4.249467.0744 %
Target2674.125065.6716 %4500050000000.09962.3107 %4.224666.4649 %
Difference---+135000-905000+0.0248+1.7757%+0.0248+0.6096 %

Known prime factors (1 factor, 77.3 bits, 0.00107346% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
72033411893224696046943141355932477.32513141295796262756
22 × 19 × 172911786792931
2017-11-07191729117867929314,249.22,978,6465,563,281

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-01ANONYMOUSv4_computers35000245000--0.0151.471%
2012-08-03Squeeky_SquirrelP4_26008000013200006--0.0472.780%
2016-07-03Squeeky_SquirrelP4_260018000040950006--0.1244.086%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-06-14ANONYMOUSv4_computers212620.043
1998-06-20ANONYMOUSv4_computers212620.043
1998-12-21ANONYMOUSv4_computers212620.043
2001-12-01ANONYMOUSv4_computers212630.136
2012-03-09David CampeauManual testing2632640.273
2013-11-10David CampeauManual testing2642650.519
2015-06-12VictordeHollanderManual testing2652661.037
2016-10-10Gordon SpenceManual testing2662672.075


ECM factoring results:
Total ECM effort:1.326 GHz-days
Estimated T-Level:0.769
DigitsB1CompleteFacMiss
20110000.15485.740%
25500000.01498.587%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.995
50000500000010.332


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16ANONYMOUSv4_computers0638C4C7A08897271.571
1999-07-04ANONYMOUSv4_computersD45E9624C26BEE181.571
2002-01-02ANONYMOUSv4_computersD45E9624C26BEE181.571


PRP results:
dateuseridcompidcofactorsres64
2018-02-19Oliver KruseGTX-3
189322469604694314135593
0C2DB88969D643A6
2019-04-08kkmrkkblmbrbkc5.large
189322469604694314135593
0C2DB88969D643A6


CERT results:
No CERT results for M7203341


P-1 factor-bounds graph:
B1 = 180000, B2 = 4095000 (P-1 stage 2)
B1 = 180000 (P-1 stage 1)
B1 = 80000, B2 = 1320000 (P-1 stage 2)
B1 = 80000 (P-1 stage 1)
B1 = 35000, B2 = 245000 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
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TF factor-bounds graph:
267
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this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=0.77 ~= -14-bit
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Last modified: 2024-02-09T03:30:02+00:00