Show that every $n >6$ is the sum of two coprime numbers each greater than or equal to $2$.
120282
Sum of two co-prime integers
128199
Proving gcd(a, a+2) is 1 or 2 for every integer a?
24403
Prove that $ n < 2^{n}$ for all natural numbers $n$.
75373
Show that $2^n>n$ for $n\in \mathbb{N}$
77383
Prove that $n^3=n \text{ mod }6$ for every integer $n$.
112644
The product of two numbers that can be written as the sum of two squares
5043
Show that $2^n>1+n\sqrt{2^{n-1}}$
48484
Prove that $6|a+b+c$ if and only if $6|a^3+b^3+c^3$
126888
How can you show that $\binom {n}{7}=\sum_{k=7}^n \binom {k-1} {6}$?
80365
Prove that $n$ is divisible by $6$
54699
Product of pairwise coprime integers divides $b$ if each integer divides $b$
100613
Prove that if an average of a thousand numbers is less than 7, then at least one of the numbers being averaged is less than 7
104527
Prove that there are two subsets of any cardinality-10 subsets of $\{1,2\dots,106\}$ that sum to the same number
5692
Proving that there is a perfect square between $n$ and $2n$
94917
Prove that for every prime $p$, there exists a solution to $(x^2-2)(x^2-6)(x^2-3) \equiv 0 \mod(p)$
43714
Probability that two random numbers are coprime is $\frac{6}{\pi^2}$
138669
proving that elements of a sequence are pairwise coprime