Find integer $x\neq 0$ such that $120x+1,160x+1,240x+1$ are perfect square
71935
Let $k$ be a natural number . Then $3k+1$ , $4k+1$ and $6k+1$ cannot all be square numbers.
134
Prove that the expression is a perfect square
9217
Find $n$ such that $x^2 + x + 1$ is a factor of $(x+1)^n - x^n - 1$.
114542
Can a number with $100$ $0$'s $100$ $1$'s and $100$ $2$'s ever be a perfect square?
54703
Find the a < 0 for which the inequalities have at least one common solutions
115244
Integer solutions of $m^2+(m+1)^2=n^4+(n+1)^4$
86285
Given positive integers $ x , y$ and that $3x^2 + x = 4y^2 +y$ Prove that $x-y$ is a perfect square
54929
Finding integer solutions for $6x+15y+20z=1$
130499
How can $p^{q+1}+q^{p+1}$ be a perfect square?
98443
Find positive integers such that $2n^3 + 5|n^4 +n+1$
41641
$(n-7)(n+7)=$ some perfect square
155789
Integral values of $x$ for which the expression $x^2+19x+92$ is a perfect square
109640
How do i find $(1+i)^{100}?$
104176
$15x\equiv 20 \pmod{88}$ Euclid's algorithm
40973
How to find $\lfloor 1/\sqrt{1}+1/\sqrt{2}+\dots+1/\sqrt{100}\rfloor $ without a calculator?
33735
The square of an integer is congruent to 0 or 1 mod 4
67356
When is $2^x+3^y$ a perfect square?