Determine all integers $(a,b)$ satisfying $$a^3-5a+28=2^b(2^b+1).$$
The problem seems a bit hard to begin with, I tried to make classification but got stuck when going further. I believe that $(4,3)$ is the only solution. Please help.
2026-04-12 21:09:29.1776028169
Solve the equation in $\mathbb{Z}$
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