Question 97
Find all positive integers $n$ such that
$$
n=2^{2x-1}-5x-3=\left(2^{x-1}-1\right)\left(2^{x}+1\right)
$$
for some positive integer $x$.
$$
n=2^{2x-1}-5x-3=\left(2^{x-1}-1\right)\left(2^{x}+1\right)
$$
for some positive integer $x$.
Math Olympiad Vault · MathNet 2015-part-06 — 191 problems (EN–VI)