Is $p^{2} \overset{8}{\equiv} 1$
7414
Prove that odd perfect square is congruent to $1$ modulo $8$
158364
Are there uncountably many $A\in M_3 (\mathbb {R})$ such that $A^8=I $?
83407
How to show that that $q \mid p-1$?
50781
$(n+1)$th prime $p_{n+1}$ less than or equal to $p_1p_2\dots p_n+1$
6332
If $p\equiv1\mod{4}$, then $p=a^{2}+b^{2}$ where a and b are uniquely determined
22224
Define $S\equiv\{ x\in \mathbb{Q}\mid x^2<2\}$. Show that $\sup S=\sqrt{2} $.
47299
Factorize $x^8-x$ over $F_3$ and $F_{81}$
119146
How to solve $n < 2^{n/8}$ for $n$?
43453
Is ${\sqrt2^{\sqrt2^{\sqrt2^{\sqrt2^\sqrt2}}}}^{...}=4$ correct?
111505
Proof $\binom{p-1}{k}\equiv (-1)^k \mod{p}$
153869
Under what $p$, $-1$ is a square in $\mathbf F_p$?
93948
Is my proof correct? $p_1p_2p_3\cdots p_n+1)$ cannot be the square of an integer
139956
How is multiplication in field $GF(2^{8})$ done?
114346
Why is $a^{-1}$ mod $p$ equal to $a^{p-2}$ mod $p$?
68635
When is $2$ a quadratic residue mod $p$?
48268
How many $\alpha \in S_n$ are such that $\alpha^2 = 1$?
127901
If $x^2+y^2 \equiv 0\pmod{p}$, then $p \equiv 1 \pmod{4}$