Two Perfect Squares--$(3n+1) \& (4n+1)$.
60738
If 4n+1 and 3n+1 are both perfect sqares, then 56|n. How can I prove this?
130499
How can $p^{q+1}+q^{p+1}$ be a perfect square?
35326
There are infinitely many $N$ such that $\frac{N}{2}$ is a perfect square, $\frac{N}{3}$ is a perfect cube, and $\frac{N}{5}$ is a perfect fifth power
101832
Proof that sum of first $n$ cubes is always a perfect square
21898
Find all primes $p$ such that $ p^3-4p+9 $ is a perfect square.
146512
Prove that for every prime number $p>3$, $4p^2+1$ can be written as the sum of three square numbers
38498
Find all primes $p$ such that $(2^{p-1}-1)/p$ is a perfect square
44790
Find $n$ for which $\frac{n(n+1)}{2}$ is perfect square
142513
Prove that $2xy\mid x^2+y^2-x$ implies $x$ is a perfect square.
103360
Prove $4p-3$ is a square knowing that $n\mid p-1$ and $p\mid n^3-1$, $p$ prime
134
Prove that the expression is a perfect square
50615
Expressing a Non Negative Integer as Sums of Two Squares
98440
Show that any non-negative rational integer may be written as the sum of two squares if it is of the form....
118538
Find all integers $x$ such that $x^2+3x+24$ is a perfect square.
92106
Prove that $n$ is a sum of two squares?
112644
The product of two numbers that can be written as the sum of two squares
127566
$2AB$ is a perfect square and $A+B$ is not a perfect square