# Tag Info

### What are the solutions in numbers of $xyz \mid x^n + y^n + z^n$, $x,y,z$ globally coprime

Some solutions for $n=7$: ...
• 23.6k
1 vote
Accepted

### If the coefficient of the polynomial positive

When $m=1$ and $k$ is odd, I compute that $\bar{S}(k) = (3k^5-20k^3+17k)/120$, which has a negative coefficient.
• 45.6k
There is a simple algorithm because the minimal path from $A$ to $B$ using these operations must have a very constrained form. First, an optimal sequence of $x+1$ and $x-1$ operations from $a$ to $b$ ...