Find the smallest positive integer k such that $p^k = 1A$
33216
Prove that the order of an element in $S_n$ equals the least common multiple of the lengths of the cycles in its cycle decomposition.
141073
Are there fewer positive integers than all integers?
35525
Methods to compute $\sum_{k=1}^nk^p$ without Faulhaber's formula
140939
Smallest Perfect Cube ending in 888
77806
Proving if $a$ is not a multiple of prime $p$, then an integer $b$ exists such that $p^b - 1$ is a multiple of $a$
88662
$n$ divides $\phi(a^n -1)$ where $a, n$ are positive integer.
17306
To find all $n$ such that $(n-1)!+1$ is a perfect power of $n$
19500
How can I find $\gcd(a^m+1,a^n+1)$ with $a,m,n$ positive integers?
50781
$(n+1)$th prime $p_{n+1}$ less than or equal to $p_1p_2\dots p_n+1$
139121
Evaluating $\int _0 ^1 x^k(\ln x)^m dx$ for integer $k$ and $m$
21986
What is the minimum value of $(1 + a_1)(1 + a_2). . .(1 + a_n)$?
5978
Prove that there exists only one prime number of the form $p^2−1$ where $p≥2$ is an integer
5708
Prove that if $k\ge 1\,$ and $\,a^k\equiv 1\pmod{\! n}$ then $\gcd(a,n)=1$
153831
Approximating $\pi$ with least digits
132728
Can the sum of the first $p$ factorials ever be a perfect power for $\ p>3\ $?
97196
$k^{\phi(l)} + l^{\phi(k)} \equiv1\pmod{lk}\,$ if $\,\gcd(l,k)=1$
18634
Combinations of sets raised to the power of a prime modulus: $\binom{p^{\alpha}-1}k \equiv (-1)^k \pmod p$