Show that the order of 5 mod $2^k$ is $2^{k-2}$
71625
Divisibility question
19701
Prove $5\mid2^{4n}-1$ by induction
101057
Show that $1^{p-1} + 2^{p-1} +\ldots + (p-1)^{p-1} \equiv -1 \mod p$
112120
Find all primes of the form $2^{2^n} + 5$ for a nonnegative integer n
122083
Prove that $\sqrt[3]{2} +\sqrt{5}$ is algebraic over $\mathbb Q$
48839
Show that the order of $a\times b$ is equal to $nm$ if gcd(n,m)=1
119808
Proving that $n$-cycle has order $n$
4972
Mod of numbers with large exponents [modular order reduction]
65558
Irreducible in $\mathbb{Z}[\sqrt{-5}]$
139269
Prove that $2n-3\leq 2^{n-2}$ , for all $n \geq 5$ by mathematical induction
115746
Find the order of a subgroup of $S_5$ generated by two elements
75373
Show that $2^n>n$ for $n\in \mathbb{N}$
31344
Proving $2^{2^n}+3^{2^n}+5^{2^n}$ is divisible by $19$ for all $n\geq 1$ by induction
51858
Showing $\gcd(2^m-1,2^n+1)=1$
38156
Find the order of $8/9, 14/5,48/28$ in the additive group of $\mathbb{Q}/\mathbb{Z}$
130027
Give a direct proof of the fact that $a^2-5a+6$ is even for any $a \in \mathbb Z$
68480
Proof by Induction: Prove that $2^n > n^2$, for all natural numbers greater than or equal to $5$