is 2 5314571 - 1
has 1599846 decimal digits
takes 0.839 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L6AACC856F1BF0237double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2675.591065.6716 %600009900000.02532.3352 %5.616466.4733 %
Target2662.778965.1515 %3200030000000.04442.0274 %2.823265.8580 %
Difference+1+2.8122+0.5201 %+28000-2010000-0.0190+0.3079%+2.7932+0.6153 %

Known prime factors (1 factor, 68.5 bits, 0.00128889% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
53145714171634705964810348312168.49939247144369365
3 × 5 × 19 × 137709278489
2011-11-111913770927848911.2151,718.03,208.7

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-05-24Charlie Dorianv4_computers20000135000--0.0061.148%
2001-05-20Stephen Woodv4_computers2000020000--0.0050.443%
2010-04-14Squeeky_SquirrelP4_2600600009900006--0.0282.643%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-05-08Mark Dv4_computers212610.029
1998-05-08ANONYMOUSv4_computers212620.058
2009-05-30GrunwalderGIMPManual testing2622630.185


ECM factoring results:
Total ECM effort:0.720 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.720


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-08-02ANONYMOUSv4_computers3DFE94A3DCBC340B0.839
2000-08-01Charlie Dorianv4_computers6AACC856F1BF02370.839
2001-07-17Stephen Woodv4_computers6AACC856F1BF02370.839


PRP results:
dateuseridcompidcofactorsres64
2017-11-28kkmrkkblmbrbkc4.xlarge
417163470596481034831
7663272609141407
2018-07-14BattlemaxxHome
417163470596481034831
7663272609141407
2018-09-03krackerGRID-11
417163470596481034831
7663272609141407


CERT results:
No CERT results for M5314571


P-1 factor-bounds graph:
B1 = 60000, B2 = 990000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 20000, B2 = 135000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
100
101
102
103
104
105
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
263
262
261
this exponent TF target: 66
TF double-checked to: 67
250
260
270
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Last modified: 2024-02-29T14:28:04+00:00