Product of 4 consecutive integers is a perfect square,what are the possible values of their sum?
78593
Prove that the product of four consecutive positive integers plus one is a perfect square
45911
Prove that none of $\{11, 111, 1111,\dots \}$ is the perfect square of an integer
40080
Sum of multiples of $2$ coprime numbers cover positive integers
127566
$2AB$ is a perfect square and $A+B$ is not a perfect square
46410
sum of the product of consecutive legendre symbols is -1
46606
Can an integer of the form $4n+3$ written as a sum of two squares?
4061
Proving there are infinitely many pairs of square-full consecutive integers
86285
Given positive integers $ x , y$ and that $3x^2 + x = 4y^2 +y$ Prove that $x-y$ is a perfect square
83910
Integer part of $\sqrt[3]{24+\sqrt[3]{24+\sqrt[3]{24+\cdots}}}$
155784
If $\gcd(a, b) = 1$ and if $ab = x^2$, prove that $a, b$ must also be perfect squares; where $a,b,x$ are in the set of natural numbers
67899
Integer squares of the form $x^4+x^3+x^2+x+1$
72437
Sum of the digits of a perfect square
140433
The number of ways of writing an integer as a sum of two squares
67968
When is $2^n -7$ a perfect square?
114796
Direct proof that the product of odd integers is odd
155926
Prove there are k consecutive non-squarefree integers
33735
The square of an integer is congruent to 0 or 1 mod 4