Number of $\alpha\in\Bbb{F}_{27}$ such that $|A_{\alpha}|=26$ equals $12$
115016
Prove that the number of $\alpha\in\mathbb{F}_{27}$ such that $|A_\alpha|=26 $ equals 12.
149508
Prove $9^n \equiv 9 \pmod{24}\quad \forall n \in \Bbb N^*$
69039
Prove that $2730$ divides $n^{13} - n$ for all integers $n$.
15000
Show that number of elements in $(Z/nZ)^*$ is $\phi (n)$
156032
Find a such that $112_a$, $63_a$ and $34_a$ are in an arithmetic progression
123710
Find eight elements in $S_6$ that commute with $(12)(34)(56)$
104112
Number of finite simple groups of given order is at most $2$ - is a classification-free proof possible?
68960
How to solve $ 13x \equiv 1 ~ (\text{mod} ~ 17) $?
18881
Number of elements of order $7$ in a group
77579
Proof by induction that $ 169 \mid 3^{3n+3}-26n-27$
140087
The number of divisors
102938
$\Bbb F_2[X]$ modules with 8 elements
1914
General way to determine $\mathbb{Q}(\gamma) = \mathbb{Q}(\alpha,\beta)$ given $\alpha$ and $\beta$
8446
Number of solutions over positive integers of $x_1 + x_2 + ... + x_n = S$ for $x_i \in [0, 25]$
102444
What is $26^{32}\bmod 12$?
132133
Number of elements of a finite field
7938
Number of Homomorphisms from $\Bbb{Z}_m$ to $\Bbb{Z}_n$