is 2 4547513 - 1
has 1368938 decimal digits
takes 0.599 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LE1ADDF761FB3C1BFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2676.534165.6716 %2400001334318701.43127.1948 %7.965368.1415 %
Target2651.604364.6154 %2800027500000.03372.1345 %1.638065.3707 %
Difference+2+4.9298+1.0563 %+212000+130681870+1.3976+5.0604%+6.3274+2.7709 %

Known prime factors (1 factor, 62.8 bits, 0.00138134% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
454751381232577443662585911962.817893153878215
3 × 5 × 59543591881
2011-12-285595435918810.1919619.351,156.8

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-10-22ANONYMOUSv4_computers25000293750--0.0081.747%
2011-07-08USAFSSP4_2600550008662506--0.0202.774%
2023-03-15USAFSS6917th_Scty_Sq240000133431870--1.5078.655%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2002-01-22David Campeauv4_computers212610.034
2010-09-03markrut2612620.068


ECM factoring results:
Total ECM effort:0.601 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
10.206
50000500000030.395


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-11-15ANONYMOUSv4_computersE1ADDF761FB3C1BF0.599


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
8123257744366258591
34FB669AD0BF5793
2018-02-22Oliver KruseGTX-1
8123257744366258591
34FB669AD0BF5793


CERT results:
No CERT results for M4547513


P-1 factor-bounds graph:
B1 = 240000, B2 = 133431870 (P-1 stage 2)
B1 = 240000 (P-1 stage 1)
B1 = 55000, B2 = 866250 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
B1 = 25000, B2 = 293750 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
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1010
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TF factor-bounds graph:
262
261
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
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Last modified: 2024-03-13T02:15:48+00:00