For which prime numbers $p$ is $\cos(2\pi/p)$ irrational?
94382
Calculate the degree of the extension $[\mathbb{Q}(\cos(\frac{2\pi}{p})):\mathbb{Q}]$
77129
Density of irrationals
132928
Digits of $\pi$ forming primes?
120906
Is there a proof that $\pi \times e$ is irrational?
117132
Rationals of the form $\frac{p}{q}$ where $p,q$ are primes in $[a,b]$
44573
Can $\pi$ be rational in some base radix
40009
Show that $e^{\sqrt 2}$ is irrational
37642
Why is $\pi$ irrational if it is represented as $C/D$?
6275
How can you prove that the square root of two is irrational?
5978
Prove that there exists only one prime number of the form $p^2−1$ where $p≥2$ is an integer
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.
103376
Is $\sin(p \pi/q)$ necessarily an algebraic number?
143733
Is this proof that $\sqrt 2$ is irrational correct?
75204
Irrationality $\sqrt{2}$ with ideal
81250
Infinitude of prime numbers
30523
A binary irrational with bits defined by primes
111094
Help with proving that $\pi$ is irrational