Is $2^{125} \bmod 257$ $=225$
4972
Mod of numbers with large exponents [modular order reduction]
4475
Find the remainder when $2^{2016}$ is divided by $47$
98380
$x^{20}=1$ for all $x\in U(100)$
45178
How to compute $\,3^{3^{3^{\:\!\phantom{}^{.^{.^.}}}}}\!\!\!\!\bmod 46,$ for power tower height $2020$?
119433
How to find modulo of large numbers like $9801\! \pmod {\!32}$
66861
Show that $11^{10} \equiv 1 (\mod 100)$
111555
Find $a,b \in \mathbb{N}$ with $\mathrm{lcm}(a,b)=12\gcd(a,b)\,$ and $\,a\bmod b = 5$
51161
Finding the inverse of 84 mod 5
97150
Solve $[2^{(2^{403})}] = [a]$ in $\mathbb Z_{23}$ where $0 \le a < 23$.
11342
Show that conguence $\bmod m\,$ is an equivalence relation
29231
Proof of : $x^{n}\equiv x^{\varphi(m)+[n \bmod \varphi(m)]} \mod m$
73025
Find min natural number $n$ so that $2^{2002}$ divides $2001^{n}-1$
12760
The last 2 digits of $7^{7^{7^7}}$
36757
I can't determine the maximum natural number which is unable to be represented as $17\times x+23\times y$
54441
Last two digits of $3^{400}$
4435
What does $\!\bmod(n,x^r-1)$ mean? [in AKS primality test]
68960
How to solve $ 13x \equiv 1 ~ (\text{mod} ~ 17) $?