Is the set $\{\frac{p}{q}:p,q\text{ prime}\}$ dense in the positive real numbers?
48264
Are fractions with prime numerator and denominator dense?
92571
Sets with no asymptotical density over $\mathbb N$
98755
How can I show that the set of rational numbers with denominator a power of two form a dense subset of the reals?
69273
Is there a compact subset of the irrationals with positive Lebesgue measure?
84167
Regarding the sum $\sum_{p \ \text{prime}} \sin p$
51514
Is $n \sin n$ dense on the real line?
42444
Irrationality of $\sum_{p\in\mathbb{P}} \frac{1}{2^{p}}$
34998
How to prove that $\mathbb{Q}$ ( the rationals) is a countable set
77129
Density of irrationals
13550
For an irrational number $\alpha$, prove that the set $\{a+b\alpha: a,b\in \mathbb{Z}\}$ is dense in $\mathbb R$
54791
Is it true or false that $\lvert P([0, 1]) \setminus P((0, 1)) \rvert > \lvert P(\mathbb{N}) \rvert$
2882
Limit points of the set $\{\frac {\varphi(n) }n : n\in \mathbb{N}\}$
84559
Showing $\sum\limits_{p \in P} \frac{1}{p}$ where $P$ is the set of all primes is divergent
30568
Let $q \in \mathbb C$, $\|q\|=1$ and $q^n \neq 1, \forall n \in \mathbb N$. Show that $\{q^n: n \in \mathbb N\}$ is dense in $S^1$
57839
Real analysis: density and continuity
152172
Does there exist a positive irrational number $\alpha $, such that for any positive integer $n$ the number $\lfloor n\alpha \rfloor$ is not a prime?
75123
If $p$ be a prime and r be any integer, $0 < r < p$ then $\frac{(p-1)!}{r!(p-r)!}$ is an integer.