Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2015-part-06 — 191 problems (EN–VI) Question 97

Math Olympiad Vault · MathNet 2015-part-06 — 191 problems (EN–VI)

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 $x$.