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original poster
hbghlyj
posted 2022-10-25 03:42
aops: Find all polynomials $f(x)$ with integer coefficients such that $f(n)$ and $f(2^{n})$ are co-prime for all natural numbers $n$.
MSE: Finding all such polynomials under a gcd condition
aops: Find all polynomial $f\in \mathbb{Z}[x]$ such that $gcd(f(n),f(2^n))=1$ for all odd positive integer $n$ |
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