Powerful number: Difference between revisions

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is a solution of the equation 32''X''<sup>3</sup> + 49''Y''<sup>3</sup> = 81''Z''<sup>3</sup>. We can construct another solution by setting ''X''&prime; = ''X''(49''Y''<sup>3</sup>&nbsp;+&nbsp;81''Z''<sup>3</sup>), ''Y''&prime; = &minus;''Y''(32''X''<sup>3</sup>&nbsp;+&nbsp;81''Z''<sup>3</sup>), ''Z''&prime; = ''Z''(32''X''<sup>3</sup>&nbsp;&minus;&nbsp;49''Y''<sup>3</sup>) and omitting the common divisor.
 
== See also ==
[[Achilles number]]
 
== References ==