The largest positive integer which cannot be written in the form $5m + 3n$ where $m$ and $n$ are positive integers is?
29084
Largest integer that can't be represented as a non-negative linear combination of $m, n = mn - m - n$? Why?
55248
Positive integral solutions of $3^x+4^y=5^z$
6278
The value of $\sum_{1\leq l< m <n}^{} \frac{1}{5^l3^m2^n}$
56574
For any integer $a,b$ let $N_{a,b}$ denote the number of positive integer $x<1000$ satisfying $x= a( mod\;27)$ and $x=b(mod\;37)$. Then
20504
$\forall m,n \in \Bbb N$ : $\ 56786730\mid mn(m^{60}-n^{60})$
60965
Representing a nonnegative integer as the ordered sum of odd numbers
65965
Theoretical way to prove no positive integer $n$ exists such that $n+3$ and $n^2+3n+3$ are both perfect cubes.
41920
What is the probability that $m$ is the largest number drawn?
115258
Find all positive integers $n$ such that $\phi(n)+\sigma(n)=2n$.
109305
Non-existence of natural numbers such that $\sqrt{n} +\sqrt{n+1} <\sqrt{x} +\sqrt{y} <\sqrt{4n+2}$
118197
Solve $n(n+1)(n+2)=6m^3$ in positive integers
53156
Infinitely many numbers not expressible in the form $a^n+b^n+c^n$
38882
If $n$ is a positive integer such that $n^3 − n − 6 = 0$, then, for every positive integer $m$ with $m \not = n$, $m^3 − m − 6 \not = 0$.
101987
Is there possibly a largest prime number?
132041
Numbers which cannot be formed
22973
Show that an integer of the form $8k + 7$ cannot be written as the sum of three squares.
149071
Let $d$ be any positive integer not equal to $2, 5,$ or $ 13$ , then $\exists a, b \in \{2, 5, 13, d\}$ such that $ab − 1$ is not a perfect square?