Prove that the product of some numbers between perfect squares is $2k^2$
116780
product is twice a square
19588
$n!+1$ being a perfect square
40080
Sum of multiples of $2$ coprime numbers cover positive integers
102154
If $a$ and $b$ are consecutive integers, prove that $a^2 + b^2 + a^2b^2$ is a perfect square.
18402
Sum of the reciprocals of divisors of a perfect number is $2$?
78593
Prove that the product of four consecutive positive integers plus one is a perfect square
58264
How to derive the formula for the sum of the first $n$ perfect squares?
3632
Basic number theory proofs
125702
There is a square $Q$ consisting of $(0,0), (2,0), (0,2), (2,2)$
114796
Direct proof that the product of odd integers is odd
99606
Prove or disprove there exists a set of four numbers out of the $48$ positive integers of which product is a perfect square
86285
Given positive integers $ x , y$ and that $3x^2 + x = 4y^2 +y$ Prove that $x-y$ is a perfect square
18633
Prove every odd integer is the difference of two squares
39156
Concerning what is between two consecutive squares.
120309
Number Theory Inequality Proof
1001
Number of integer solutions of $x^2 + y^2 = k$
41641
$(n-7)(n+7)=$ some perfect square