Every number can be expressed as a product of (least prime factor)*(largest integer dividing n less than n) [EDITED]
53506
Cofactor reflection maps greatest proper divisor to least (prime) proper divisor
86902
Consider the smallest number in each of the $n\choose r$ subsets (of size $r$) of $S=\{1,2,\ldots,n\}$...
60615
Product of $5$ consecutive integers cannot be perfect square
82071
divisor of a product of integers is a product of divisors
119051
Show that only finitely many positive integers $n$ have the property that for all $m$ for which $1<m<n$ and $\text{gcd}(m,n) = 1$, $m$ is prime.
27069
sum of all positive integers less than $n$ and relatively prime to $n$
153831
Approximating $\pi$ with least digits
43591
How to factor numbers that are the product of two primes
68688
n-th prime number is less than $4^n$
14815
How prove this $\prod_{1\le i<j\le n}\frac{a_{j}-a_{i}}{j-i}$ is integer
54554
If a product of relatively prime integers is an $n$th power, then each is an $n$th power
134352
The number of possible factorizations of a positive integer.
48691
Product of all prime numbers upto some prime $p$
33505
Show that every large integer has a large prime-power factor
113331
Number of ways a natural number can be written as sum of smaller natural number
13739
For all $n>2$ there exists a prime number between $n$ and $ n!$
77412
Product of $\min$ and $\max$ of $n$ i.i.d. random variables.