Proof that the product of 3 sequential numbers is divisible by 3
64052
Among any three consecutive positive integers one is a multiple of 3
45460
Proof verification of a number theory problem involving sequences.
17269
Strong Induction Proof: Fibonacci number even if and only if 3 divides index
111298
Direct Proof that $1 + 3 + 5 + \cdots+ (2n - 1) = n\cdot n$
103504
Weird $3^n$ in an identity to be combinatorially proved
142534
Proof of $k {n\choose k} = n {n-1 \choose k-1}$ using direct proof
15348
prime divisor of $3n+2$ proof
74730
Combinatorial Proof of ${{n}\choose{k}} {{k}\choose{j}} = {{n}\choose{j}} {{n-j}\choose{k-j}}$
23097
Prove that every number ending in a $3$ has a multiple which consists only of ones.
62100
Show that $n^3-n$ is divisible by $6$ using induction
153892
Number Theory divisibilty
127855
Show that the product of any $m$ consecutive positive integers is divisible by $m!$
26857
In any Pythagorean triplet at least one of them is divisible by $2$, $3$ and $5$.
1702
Proving that there are infinitely many primes with remainder of 2 when divided by 3
27449
Product of Divisors of some $n$ proof
151375
There are $3$ Zero-Sum Numbers!
128306
Show that for all $n ∈ Z$, $2n^3 + 3n^2 + n$ is divisible by both 2 and 3.