Show that (12345) and (12) create $S_5$
14139
$(12)$ and $(123\dots n)$ are generators of $S_n$
158210
showing $\arctan(\frac{2}{3}) = \frac{1}{2} \arctan(\frac{12}{5})$
10589
How to factorize $5$ in $\mathbb{Z}[\root 3 \of 2]$?
132175
How many $5$-digit numbers with distinct digits are divisible by 3 (and generalize)
9105
Finding the last two digits $123^{562}$
131241
primes congruent to 5 mod 6 and 1 mod p
68882
Path to Combinatorics Problem [$1.11$]
56985
Show that every positive integer has a unique representation in the form $50k+l$...?
48875
$n^3 \equiv n^5 \pmod{12} $?
85287
Prove that, for $p > 3$, $(\frac 3p) = 1$ when $p \equiv 1,11 \pmod{12}$ and $(\frac 3p) = -1$ when $p \equiv 5,7 \pmod{12}$
112165
Classification of groups of order 12
114379
Show that number of solutions satisfying $x^5=e$ is a multiple of 4?
110722
$n$ and $n^5$ have the same units digit?
57221
counting the number of elements in a conjugacy class of $S_n$
83061
Generating the symmetric group $S_n$
143510
Prove that $n=\frac{5^{125}-1}{5^{25}-1}$ is a composite number
148217
A polynomial with integer coefficients that attains the value $5$ at four distinct points