Exercise similar to prime avoidance theorem in R.Y. Sharp's textbook
58640
$R$ is an algebra over an infinite field. If $\exists$ ideals s.t. $J\subseteq \bigcup_{k=1}^nI_k$ then $J\subseteq I_k$ for some $k$
28796
Use the Inclusion-Exclusion Principle to show that for any non-negative integers $m, r, n$ such that $m≤r≤n$...
126471
At least one prime between $\sqrt{n}$ and $n$?
110022
Showing prime and maximal ideal
155452
Prime factorization of square numbers
98372
Proof of the principle of backwards induction
134539
Euclidean and induction with prime numbers
129430
Hardy-Ramanujan theorem's "purely elementary reasoning"
51465
New, elegant proofs for $\varphi(p^{k})=p^{k}-p^{k-1}$
86635
Optimizing $(X_{n}+c)^{2}$ to show that $P(\overline{X}_{n}\geq \lambda) \leq E(X_{n}^{2})/(EX_{n}^{2}+ \lambda^{2})$
138882
A prime poset of ideals
34807
Localization at finitely many minimal prime ideals
46550
Proving an 'obvious' Ramsey upperbound
58905
Proving infintely many primes of the form 6k-1
21862
Proof of lack of pure prime producing polynomials.
26878
Primes between consecutive cubes
34047
Books on Prime numbers