Find the remainder when $2^{2016}$ is divided by $47$
360
Modular exponentiation by hand ($a^b\bmod c$)
78188
How can I get the smallest possible answer with the Chinese Remainder Theorem?
55437
When does $2^{n}$ divide $3^{n}-1$
125512
Doubt regarding divisibility of the expression: $1^{101}+2^{101} \cdot \cdot \cdot +2016^{101}$
107848
Finding the remainder of $\overbrace{11\ldots1}^{123 \text{ times}}$ divided by $271$
16382
Find $a$ such that $(x+a)(x+1991)+1=(x+b)(x+c)$ with $a,b,c\in\Bbb Z$
80754
A slight modification in Chinese Remainder Theorem
110460
find remainder of a number
128393
What is the remainder of dividing $14^{256}$ by $17$?
61582
Find the remainder of $\frac{2^{2014}}{7}$
144067
calculating $a^b \!\mod c$
103711
Finding the first digit of $2015^{2015}$
5037
Find the last two digits of $3^{45}$
138271
Find the least number which when divided by 2, 3, 4, 5, 6 leaves a remainder of 1 but it is divided by 7 completely.
151692
When does $2^n-1$ divide $3^n-1$?
50940
Prove $1^{2007}+2^{2007}+\cdots+n^{2007}$ is not divisible by $n+2$
139659
Find all $n$ with $\!\bmod n\!:\, a\,$ invertible $\Rightarrow a^{-1} \equiv a,\,$ i.e. $a^2\equiv 1$