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Implications of representative of $p$-adic factor $g$ of $f$ dividing $f$ in $\mathbb{Z}[X]$
The problem is from this paper (click for pdf) by Mark van Hoeij.
Let $f \in \mathbb{Z}[X]$ be monic and squarefree.
Let $B$ be a Landau-Mignotte bound for $f$, i.e. for any rational factor $\phi$ ...
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Find largest small prime factor [closed]
Let $\mathcal{Q}=19^5+660^5+1316^5$ . We know that $25$ is a factor of $\mathcal{Q}$ . Find with a proof the largest prime factor of $\mathcal{Q}$ not exceeding of $10,000$.
I found by computer ...
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