The number 1440000 satisfies the following equation:
14400003−1=14399403+719993=14400603−720013
By Fermat's Last Theorem (for which the case n=3 was proven by Euler), 14400003 cannot be the sum or difference of 2 positive integer cubes. The above equation shows that 14400003−1 is the sum and the difference of 2 positive integer cubes.
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