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Legendre's Mistake (Posted on 2009-09-11) Difficulty: 3 of 5
Legendre famously "proved" that 6 could not be the sum of the cubes of two rational numbers. Puzzlist Dudeney proved him wrong by producing two rational numbers the sum of whose cubes is 6.

Find the two rational numbers without researching Legendre or Dudeney.

See The Solution Submitted by Charlie    
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  Subject Author Date
computer solutionDaniel2009-09-12 11:30:37
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