Find all pairs of positive integers $(m,n)$ such that $2^{m+1}+3^{n+1}$ is a perfect square
67356
When is $2^x+3^y$ a perfect square?
138548
For what pair of integers $(a,b)$ is $3^a + 7^b$ a perfect square.
5287
Representing every positive rational number in the form of $(a^n+b^n)/(c^n+d^n)$
152754
When is the sum of divisors a perfect square?
152643
$(xy + 1)(yz + 1)(zx + 1) $ is a perfect square if and only if each factor is
80458
How to efficiently find the largest perfect square dividing a given large integer?
65965
Theoretical way to prove no positive integer $n$ exists such that $n+3$ and $n^2+3n+3$ are both perfect cubes.
8884
Find all natural numbers $n$ and $m$ for which $n^m=(n-1)!+1$
135212
The square of an integer has form $3n$ or $3n+1$
59782
Are there any $n$ for which $ n^4+n^3+n^2+n+1$ is a perfect square?
112031
Prove that $\gcd(2^{2^m}+1,2^{2^n}+1)=1$ if $m,n$ are positive integers.
66785
Find $\gcd(p^n-1,p^m+1)$.
65581
$m$ is a perfect square iff $m$ has an odd number of divisors?
99606
Prove or disprove there exists a set of four numbers out of the $48$ positive integers of which product is a perfect square
39994
What is the largest perfect square that divides $2014^3-2013^3+2012^3-2011^3+\ldots+2^3-1^3$
157186
Finding integers satisfying $m^2 - n^2 = 1111$
112575
Finding integer solutions of $m^2-n^5 = m - n$