is 2 5297473 - 1
has 1594699 decimal digits
takes 0.837 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L74A81A0B843EA74Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26811.251666.1765 %600009900000.02532.0584 %11.276966.8727 %
Target2662.787865.1515 %3200030000000.04442.0262 %2.832265.8576 %
Difference+2+8.4637+1.0250 %+28000-2010000-0.0190+0.0321%+8.4447+1.0151 %

Known prime factors (1 factor, 63.2 bits, 0.00119246% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5297473103788365523316549432063.170979602590927
151 × 6487434377
2014-11-2215164874343770.301380.933151.16

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-08-24Carsten Kossendeymother25000343750--0.0111.634%
2010-07-28Squeeky_SquirrelP4_2600600009900006--0.0282.641%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-02-19ANONYMOUSv4_computers212610.029
1998-06-01MadPoov4_computers212620.058
2009-06-02GrunwalderGIMPManual testing2622630.185
2022-06-22LordJuliusManual testing264265
2022-06-22LordJuliusManual testing265266
2022-06-22LordJuliusManual testing266267
2021-12-10Denial140Manual testing267268


ECM factoring results:
Total ECM effort:0.745 GHz-days
Estimated T-Level:0.769
DigitsB1CompleteFacMiss
20110000.15485.740%
25500000.01498.587%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.505
50000500000010.240


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-07-11James D-Pv4_computers74A81A0B843EA74C0.837
2000-08-24ANONYMOUSv4_computers74A81A0B843EA74C0.837


PRP results:
dateuseridcompidcofactorsres64
2017-11-26Oliver KruseGTX-2
10378836552331654943
8F60BDA3B77DBCF6
2018-02-01kkmrkkblmbrbkc4.xlarge
10378836552331654943
8F60BDA3B77DBCF6


CERT results:
No CERT results for M5297473


P-1 factor-bounds graph:
B1 = 60000, B2 = 990000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 25000, B2 = 343750 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
101
102
103
104
105
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
268
267
266
265
263
262
261
this exponent TF target: 66
TF double-checked to: 67
ECM T-Level=0.77 ~= -14-bit
250
260
270
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Last modified: 2024-02-09T03:30:02+00:00