Question 5
For each nonnegative integer $n$, let $f(n)$ be the largest nonnegative integer such that $2^{f(n)}$ divides $n+1$. A pair of nonnegative integers $(n,p)$ is called good if $2^{f(n)}>p$. Find every triple of nonnegative integers $(n,p,q)$ such that $(n,p)$, $(p,q)$ and $(n+p+q,n)$ are all good.
Essay grading is manual; the rubric is editorial. Importer multipliers: correct 1, incorrect 0, blank 0.
Essay grading is manual; the rubric is editorial. Importer multipliers: correct 1, incorrect 0, blank 0.