Proof of unit digit of $a^2$ Using Modular arithmetic.
11500
Divisibility by 7 rule, and Congruence Arithmetic Laws
60305
Proving the congruence $p^{q-1}+q^{p-1} \equiv 1 \pmod{pq}$
114346
Why is $a^{-1}$ mod $p$ equal to $a^{p-2}$ mod $p$?
16700
Modular reduction of fractions
112080
Proving the Product Rule for exponents with the same base
41141
Proving that $\frac{\phi^{400}+1}{\phi^{200}}$ is an integer.
9787
Primitive roots modulo primes congruent to n!
102234
Show $a^p \equiv a \mod 2p$
156089
Why is the associative property valid for modular arithmetic?
38727
Modular Exponentiation and Primes
12210
Show that $a^{61} \equiv a\pmod{1001}$ for every $a \in \mathbb{N}$
380
Bijection from modular multiplication?
27063
Prove that if n is an odd positive integer , then $n^2\equiv1\mod8$
96204
Irrational number $\sqrt2$ proof
43058
If $n > 2$, prove that the order of the multiplicative group of units modulo n, $U_n$, is even.
79219
Prove that $a^{2^n} \equiv 1 \pmod{2^{n+2}},$ where $a$ is an odd integer.
4972
Mod of numbers with large exponents [modular order reduction]