Find $x$ positive integer such that $x^4+x^3+x^2+x+1$ is a perfect square
67899
Integer squares of the form $x^4+x^3+x^2+x+1$
9217
Find $n$ such that $x^2 + x + 1$ is a factor of $(x+1)^n - x^n - 1$.
38018
Arrangement of integers in a row such that the sum of every two adjacent numbers is a perfect square.
142580
Prove that a perfect square is either a multiple of $4$ or of the form $4q+1$.
114489
Solving $x^p + y^p = p^z$ in positive integers $x,y,z$ and a prime $p$
144335
Sum of three numbers and the sum of their squares: $x^2+y^2+z^2 \geq \frac{1}{3}$ for $x+y+z=1$
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.
146126
Infinite positive integer solutions of the equation: $x^2+x+1=(y^2+y+1)(n^2+n+1)$
117970
Find the minimal polynomial for $\sqrt[3]{2} + \sqrt[3]{4}$ over $\mathbb{Q}$
95490
What are the positive integer solutions to $x^2-x+1 = y^3$?
100761
Find all $x$ such that $x^6 = (x+1)^6$.
152643
$(xy + 1)(yz + 1)(zx + 1) $ is a perfect square if and only if each factor is
41641
$(n-7)(n+7)=$ some perfect square
33735
The square of an integer is congruent to 0 or 1 mod 4
121036
Is there any perfect squares that are also binomial coefficients?
44790
Find $n$ for which $\frac{n(n+1)}{2}$ is perfect square
127566
$2AB$ is a perfect square and $A+B$ is not a perfect square