How to find remainder when $ 975^{40153}$ is divided by $14$?
360
Modular exponentiation by hand ($a^b\bmod c$)
32381
How to calculate $276^{246} \mod 323$ without a calculator?
81058
Evaluate $6^{433} \pmod {21}$ and a proving question
111822
Is it true that the Fibonacci sequence has the remainders when divided by 3 repeating?
121122
Calculate $2^{5104} \bmod 10$ using mental arithmetic
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.
54441
Last two digits of $3^{400}$
56974
Determining the missing digits of $15! \equiv 1\square0767436\square000$ without actually calculating the factorial
4475
Find the remainder when $2^{2016}$ is divided by $47$
49116
Finding the last digit of $103^{103^{103^{103^{103}}}}$
68960
How to solve $ 13x \equiv 1 ~ (\text{mod} ~ 17) $?
142151
Find the last two digits of $9^{{9}^{9}}$
110460
find remainder of a number
107008
Find the remainder when $45!$ is divided by $47$?
9039
What is the best way to solve modular arithmetic equations such as $9x \equiv 33 \pmod{43}$?
25299
What is the remainder when $2^{1990}$ is divided by $1990$?
7473
How am I supposed to tell if a number is divisible by $13$ (I need a shortcut)?