Show there doesn’t exist a non-constant polynomial $p(x)$ with integer coefficients such that $p(x)$ is prime for all non-negative integers $n$
21862
Proof of lack of pure prime producing polynomials.
35478
Polynomial $p(a) = 1$, why does it have at most 2 integer roots?
4885
Polynomials with integer coefficients such that $p(a)=b,p(b)=c,p(c)=a$
62239
For a polynomial $p(z)$, prove there exist $R>0$, such that if $|z|=R$, then $|p(z)|\geq |a_n|R^n/2$
63702
There is a prime between $n$ and $n^2$, without Bertrand
95594
Prove that a polynomial is irreducible or the field contains a $p$th root
71788
Prove existence of multiplicative inverse modulo p when p is prime
80907
Primes dividing a polynomial
50596
$p_1p_2...p_n +1$ is not square for $p_k = k$'th prime
134068
When polynomials f(x) and f'(x) are relatively prime, f(x) has no repeated roots. Why?
120940
An irreducible polynomial in a subfield of $\mathbb{C}$ has no multiple roots in $\mathbb{C}$
53469
C(0, 1) has infinitely many prime ideals not of the form Mp
132165
"Polynomials" with non-integer exponents
99000
No polynomial with integer coefficients satisfies the conditions
134701
Polynomials irreducible over $\mathbb{Q}$ but reducible over $\mathbb{F}_p$ for every prime $p$
12166
How many irreducible polynomials of degree $n$ exist over $\mathbb{F}_p$?
135768
Find $P(n+1)$ for a polynomial P