Finding the smallest number $a \geq 0$ such that $a \equiv 7^{83} \bmod 11$.
4972
Mod of numbers with large exponents [modular order reduction]
140001
Minimum value of $2^{\sin^2x}+2^{\cos^2x}$
6874
smallest value of $k$ for which $a_k$ is $0$
133481
How to find the smallest number with just $0$ and $1$ which is divided by a given number?
61582
Find the remainder of $\frac{2^{2014}}{7}$
3208
There is no smallest rational number greater than 2
141529
Proving existence of a minimum
95033
Find the remainder of a number with a large exponent
76495
How many points in RSA, such that $m^e = m \bmod n$
51649
prove there is no smallest positive rational number
97150
Solve $[2^{(2^{403})}] = [a]$ in $\mathbb Z_{23}$ where $0 \le a < 23$.
90537
Converse of Fermat's Little Theorem.
147665
$a_1=3;\ a_{n+1}=3^{a_n}$; find $a_{2004}\bmod100$
140939
Smallest Perfect Cube ending in 888
68233
Fermat's little theorem's proof for a negative integer
132298
How do you find the smallest of homeomorphic ordinals?
66861
Show that $11^{10} \equiv 1 (\mod 100)$