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          |  |  Solving x > 13874 Abs[x^3 - 3 y^3]
 
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 | Organization: | Wolfram Research, Inc. | 
 | Department: | Scientific Information Group | 
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          |  |  Since the days of Fermat, it has been an ongoing challenge to find simple-appearing equations with large solutions. The equation in the title seems simple enough, but the smallest solution has 1781 digits. It can be called a Diophantine Inequality. Various methods of continued fractions are discussed.
 
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          |  |  Continued Fraction, Diophantine Inequality
 
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 |  | Abs13874.nb (9.5 KB) - Mathematica Notebook | 
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