How can I prove that m, n in $m^2 = 6n^2$ are not integers?
132115
Verify my proof of the irrationality of $\sqrt{6}$.
124685
How to show $(mn)!$ is divisible by $(m!)^n$?
31698
$f(m^2 + f(n)) = f(m)^2 + n$ for all natural numbers
20964
Proof that $n^2 < 2^n$
3632
Basic number theory proofs
29084
Largest integer that can't be represented as a non-negative linear combination of $m, n = mn - m - n$? Why?
112541
Prove that $n^2 + 2^n$ is composite if $n\not\equiv3\pmod{6}$.
14581
How do we prove $n^n \mid m^m \Rightarrow n \mid m$?
134834
$n^2 + (n+1)^2 = m^3$ has no solution in the positive integers
126312
How can you prove $\binom {2n}{2} = 2\binom{n}{2} + n^2$?
115244
Integer solutions of $m^2+(m+1)^2=n^4+(n+1)^4$
19254
How many rationals of the form $\large \frac{2^n+1}{n^2}$ are integers?
86219
Integers of the form $x^2-ny^2$
2932
How do I prove this sum is not an integer
88124
$M,N\in \Bbb R ^{n\times n}$, show that $e^{(M+N)} = e^{M}e^N$ given $MN=NM$
118197
Solve $n(n+1)(n+2)=6m^3$ in positive integers
6165
Proof by Induction $n^2+n$ is even