Fermat's Little Theorem: $24^{(54n + 1)} +11 \equiv 1 \mod 19$, where $n \in \mathbb{Z}^+.$
360
Modular exponentiation by hand ($a^b\bmod c$)
91565
How to efficiently compute $\,25^{37}\pmod{55}$?
52951
Find all $n \in \mathbb{Z^+}$ such that $\phi(n)=4$
131395
Solving linear congruence $2x + 11 \equiv 7 \pmod 3$
51445
Number Theory: Find all solutions of $\phi(n)=16$ and $\phi(n)=24$
79219
Prove that $a^{2^n} \equiv 1 \pmod{2^{n+2}},$ where $a$ is an odd integer.
40131
If n is such that every element $(\mathbb{Z}/n\mathbb{Z})^{\times}$ is a root of $x^2-1$. Prove that $n$ divides 24.
153647
Elementary number theory and quadratic
99243
What is the remainder when $24^{1202}$ is divided by $1446$?
45882
Solving a congruence without Fermat's little theorem
68960
How to solve $ 13x \equiv 1 ~ (\text{mod} ~ 17) $?
152299
Proving $a^{n-1} \equiv 1 \mod n $ when n is not prime.
15897
Solve a congruence $1978^{20}\equiv x\pmod{125}$
26336
Prove that $n(n^2 - 1)(n + 2)$ is divisible by $4$ for any integer $n$
38285
What is $(65!)^2$ congruent to mod $131$?
15631
Show that $11^{n+1}+12^{2n-1}$ is divisible by $133$.
16407
$24\mid n(n^{2}-1)(3n+2)$ for all $n$ natural problems in the statement.