Problem in proof for : Product of any three consecutive integers is a multiple of 3
50894
Prove that $6$ divides $n(n + 1)(n + 2)$
146867
Combinatorial Proof Of A Number Theory Theorem--Confusion
114796
Direct proof that the product of odd integers is odd
150528
Pythagorean triples $(a,b,c)$ and divisibility of $a$ or $b$ by $3$.
22977
How many $6$-integer subsets of $\{1, 2, 3, \ldots, 20\}$ have no consecutive integers?
42744
Prove a number is even using the Pigeonhole Principle
35666
How to prove the divisibility rule for $3\, $ [casting out threes]
99428
Prove that $3^{2n-1} + 2^{n+1}$ is always a multiple of $7$.
31347
$A_n$ is generated by 3-cycles given $n\geq 3$. Is this proof correct?
141404
Infinite product: $\prod_{k=2}^{n}\frac{k^3-1}{k^3+1}$
123117
Is it possible to find $n-1$ consecutive composite integers
134989
Prove that if the identity is written as the product of $r$ transpositions, then $r$ is an even number
150324
Pigeonhole principle: prove that any set of $n+1$ integers from $\{1,2,...,2n\}$ has two consecutive integers differ by one.
65978
How many subsets does the set $\{1, 2, \dots , n\}$ have that contain no two consecutive integers if $1$ and $n$ also count as consecutive?
7015
Prove that if $(ab)^i = a^ib^i \forall a,b\in G$ for three consecutive integers $i$ then G is abelian
54699
Product of pairwise coprime integers divides $b$ if each integer divides $b$
96169
$n$ divides a product of $n$ consecutive integers (by $n$ divides one of them)