2 problems

Let $w_n=(n-1)^2+1$, and let $[a,b]^o$ denote the set of integers $k$ with $a\leq k\leq b$. A gap in the exponent set of primitive matrices of order $n$ is a set of consecutive int…

Universal-gap conjecture. For every positive integer $k$, there exist integers $a$ and $b$ such that