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for questions involving inequalities, upper and lower bounds.
3
votes
Accepted
On the nearest-square function and the quantity $m^2 - p^k$ where $p^k m^2$ is an odd perfec...
Middle of page 6 of
https://arxiv.org/pdf/1312.6001v10.pdf
" we always have $0 < n−\lceil\sqrt{n^2−q^k}\rceil$ "
No, this requires that $q^k\ge 2n-1$,
an helpful assumption when the goal is to prove $ …