Can two perfect squares average to a third perfect square?
61022
Diophantine Equations : Solving $a^2+ b^2=2c^2$
145676
Percentage of natural numbers that are perfect squares?
94019
Find all $p$'s such that $p^4 + p^3 + p^2 + p +1$ is a perfect square.
44943
The 3 different equals
112644
The product of two numbers that can be written as the sum of two squares
120912
Can two Pythagorean triples have the same product?
80458
How to efficiently find the largest perfect square dividing a given large integer?
101832
Proof that sum of first $n$ cubes is always a perfect square
114542
Can a number with $100$ $0$'s $100$ $1$'s and $100$ $2$'s ever be a perfect square?
138548
For what pair of integers $(a,b)$ is $3^a + 7^b$ a perfect square.
105405
Product of three consecutive positive integers is never a perfect power
105564
If $n$ is a positive integer greater than 1 such that $3n+1$ is perfect square, then show that $n+1$ is the sum of three perfect squares.
28781
$k^{2}+(k+1)^{2}$ being a perfect square for infinitely many $k$
39994
What is the largest perfect square that divides $2014^3-2013^3+2012^3-2011^3+\ldots+2^3-1^3$
54355
$1+x+\ldots+x^n$ perfect square
152754
When is the sum of divisors a perfect square?
48787
A number is a perfect square if and only if it has odd number of positive divisors