Proof of lack of pure prime producing polynomials.
53139
How to demonstrate that there is no all-prime generating polynomial with rational cofficents?
46292
Find all primes $p>2$ for which $x^2+x+1$ is irreducible in $\mathbb{F}_p[x]$
5978
Prove that there exists only one prime number of the form $p^2−1$ where $p≥2$ is an integer
136947
Simple Mersenne prime divisibility proofs
75023
A finite sum of prime reciprocals
107924
Prove (or derive) the de Polignac formula for the prime decomposition of $n!$
78343
$4x^2+1$ factors only into $4y+1$ primes
52530
There exists a prime congruent to $m$ mod $p$
141418
When is $\mathbb{F}_p[x]/(x^2-2)\simeq\mathbb{F}_p[x]/(x^2-3)$ for small primes?
136310
Prime number in a polynomial expression
113986
Fermat's Last Theorem: implications (there is no new proof)
73515
Primes Number Theory
101882
Does this polynomial evaluate to prime number whenever $x$ is a natural number?
4105
Irreducible but not prime in $\mathbb{Z}[\sqrt{-5}] $
131731
Primes that can't be written as sum of two squares. Mod
42265
A proof that $\displaystyle\sum_{i=1}^{n}P''(r_i)/P'(r_i)=0$ for a degree $n$ polynomial
95111
Elementary proof for $\sqrt{p_{n+1}} \notin \mathbb{Q}(\sqrt{p_1}, \sqrt{p_2}, \ldots, \sqrt{p_n})$ where $p_i$ are different prime numbers.