Can this be done using Sylow theorems?
51697
Additive group contains exactly three elements of the set $\{p,p+q,pq,p^q,q^p\}$
73253
Question About equal signs in Theorems
134455
Any group of order $15$ is abelian(without sylow theorem)
143314
Sylow subgroup of $S_{p^2}$
11957
G is the product of its Sylow subgroups
129755
Weighted sum of squares, in a finite field
56030
Could you prove the theorem?
130722
Can you prove this property?
156154
Sylow 2 subgroups of S4
87267
Conjecture similar to Fermat's Theorem.
7466
How would I prove that if an integer $n>2$, then $\bar{z}=z^{n-1}$ has $n+1$ solutions
102391
Abel summability under the hypothesis $a_n \ge 0$
13206
Is this statement equivalent to Goldbach's conjecture
48268
How many $\alpha \in S_n$ are such that $\alpha^2 = 1$?
38911
Squares in $\mathbb{Z}_p$ that are not squares in $\mathbb{Z}$
127901
If $x^2+y^2 \equiv 0\pmod{p}$, then $p \equiv 1 \pmod{4}$
132541
Showing ${1\over n}\sum|S_i|=O(\sqrt n)$ for $S_i\subset [n]$, $|S_i\cap S_i|\le 1$ for $i\ne j$