Let's try to find out the numbers satisfying the cryptarithms below;
- $ab=(a+b)^2$
- $abc=(a+b+c)^3$
- $abcd=(a+b+c+d)^4$
There are only 3 unique answers!
Note: $a$,$b$,$c$,$d$ are all digits and might be different than each other for each equation. $ab$, $abc$ and $abcd$ are positive integers and and all $a$ values are nonzero.