Remainder when $5^{5555}$ is divided by $10000$.
360
Modular exponentiation by hand ($a^b\bmod c$)
109532
Proving $5^n \equiv 1 \pmod {2^r}$ when $n=2^{r-2}$
49744
Find remainder of division of $x^3$ by $x^2-x+1$
36713
Solving multiple congruences by CRT = Chinese Remainder Theorem
4475
Find the remainder when $2^{2016}$ is divided by $47$
84733
Why $a\equiv b\pmod n$ implies $a$ and $b$ have equal remainder when divided by $n$?
127357
Why 9 mod -7 = -5? Quotient and remainder with negative integers.
42754
Modular arithmetic: division, fractions, solving linear congruences
40896
What is the largest positive $n$ for which $n^3+100$ is divisible by $n+10$
147485
A conjecture about numbers of the form $10^{m}(2^{k}−1)+2^{k-1}−1$, where $m$ is the number of decimal digits of $ 2^{k-1}$.
1702
Proving that there are infinitely many primes with remainder of 2 when divided by 3
61582
Find the remainder of $\frac{2^{2014}}{7}$
63893
Prime dividing the binomial coefficients
143501
Find all $n\in\mathbb N^+$ such that the sum of the digits of $5^n$ is equal to $2^n$.
144738
Prime factorizations of consecutive numbers, can they both contains powers of greater than or equal to $1000$?
55437
When does $2^{n}$ divide $3^{n}-1$
25299
What is the remainder when $2^{1990}$ is divided by $1990$?