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Proper divisors of $P(x)$ congruent to 1 modulo $x$
Let $P(x) $ be a polynomial of degree $n\ge 4$ with integer coefficients and constant term equal to $1$. I am interested in Polynomials $P(x) $ such that for a fixed positive integer $b$, there are ...
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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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