Tamref's Last Theorem/Mistake

Source Work

 * The Dictionary
 * $2$
 * $2$


 * The Dictionary
 * $2$
 * $2$

Mistake

 * Fermat's equation being exceedingly difficult to solve, several mathematicians have noticed in an idle moment that $n^x + n^y = n^z$ is much easier. Its only solutions in integers are when $n = 2$, and $2^1 + 2^1 = 2^2$.

Correction
In fact $2^x + 2^y = 2^z$ has solutions for all $x \in \Z$, whence $y = x$ and $z = x + 1$, for example: