For which values is polynomial divisible by a prime number?
8784
modulo version of the quadratic formula and Euler's criterion
35478
Polynomial $p(a) = 1$, why does it have at most 2 integer roots?
15915
For any prime $p > 3$, why is $p^2-1$ always divisible by 24?
115758
Remainder of division when $p$ is not prime
7199
Suppose that $P(x)$ is a polynomial of degree $n$ such that $P(k)=\dfrac{k}{k+1}$ for $k=0,1,\ldots,n$. Find the value of $P(n+1)$
117816
Is $\frac{x^2+x}{x+1}$ a polynomial?
18053
Find all prime $p$ such that $x^2=-1$ has a solution in $\mathbb{Z}/p\mathbb{Z}$
38209
How often must an irreducible polynomial take a prime value?
43792
Find polynomials such that $(x-16)p(2x)=16(x-1)p(x)$
53139
How to demonstrate that there is no all-prime generating polynomial with rational cofficents?
138645
Prove Divisibility In Fibonacci Sequence Over A Prime Number
147496
Rules of thumb for divisibility
144814
If $p$ and $q$ are primes, which binomial coefficients $\binom{pq}{n}$ are divisible by $pq$?
80502
$p(x)$ divided by $x-c$ has remainder $p(c)$? [Polynomial Remainder Theorem]
40156
Determine all primes $p$ for which $5$ is a quadratic residue modulo $p$
136856
Diophantine equation with a prime number
156940
There does not exist a polynomial $p(x)$ with integer coefficients which gives a prime number $\forall x\in \mathbb{Z}$