Prove that $r_1s_1, r_2s_2, ..., r_{p-1}s_{p-1}$ is not a reduced residue system modulo p.
40663
$a_1 a_1', a_2 a_2', ..., a_n a_n'$ is not a reduced modulo system $\mod p$.
131706
Is my proof that $U_{pq}$ is not cyclic if $p$ and $q$ are distinct odd primes correct?
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.
107076
Prove $S^1$ is not homeomorphic to $S^2$ using connectedness
16035
Irreducibility of $X^{p-1} + \cdots + X+1$
86594
If $x^2 \equiv y^2 \pmod {p^r}$, where $p$ is an odd prime not dividing $x$ or $y$ then $x \equiv \pm y \pmod {p^r}$
50596
$p_1p_2...p_n +1$ is not square for $p_k = k$'th prime
109532
Proving $5^n \equiv 1 \pmod {2^r}$ when $n=2^{r-2}$
34323
Prove that $a^{(p-1)/2} \equiv 1$ (mod p) and $a^{(p-1)/2} \equiv -1 \pmod p$
72551
Proof that $\rho = \pm1$ implies linear combination
93948
Is my proof correct? $p_1p_2p_3\cdots p_n+1)$ cannot be the square of an integer
78379
Proof on cubic residues
76048
Why does $PSL(2,\mathbb C)\cong PGL(2,\mathbb C)$ but $PSL(2,\mathbb R) \not\cong PGL(2,\mathbb R)$?
96095
If $\{a_1,\dots,a_{\phi(n)}\}$ is a reduced residue system, what is $a_1\cdots a_{\phi(n)}$ congruent to?
152299
Proving $a^{n-1} \equiv 1 \mod n $ when n is not prime.
14403
If $n = p_1^{a_1} ... p_r^{a_r}$ the set of nilpotents of $\mathbb{Z}_n$ is $(p_1 p_2 ... p_{r-1} p_r)\Bbb Z_n$
135747
Prove $x^{rs}-1=(x^s-1)(x^{s(r-1)}+...+x^s+1)$