Proof that sum of first $n$ cubes is always a perfect square
15100
Proving the identity $\sum_{k=1}^n {k^3} = \big(\sum_{k=1}^n k\big)^2$ without induction
103146
Proof that the Rubik’s Cube group is 2-generated
31766
Prove that $a_{n}=0$ for all $n$, if $\sum a_{kn}=0$ for all $k\geq 1$
94570
Proof that every odd integer is a difference of two squares
135914
Evaluate the sum of cubes
27387
Show that $a+b+c=0$ implies that $32(a^4+b^4+c^4)$ is a perfect square.
5692
Proving that there is a perfect square between $n$ and $2n$
44528
The only natural number $x$ for which $x+\sqrt{-2}$ is a cube in $\mathbb{Z}[\sqrt{-2}]$ is $x=5$
59782
Are there any $n$ for which $ n^4+n^3+n^2+n+1$ is a perfect square?
84220
Questions on perfect squares
72437
Sum of the digits of a perfect square
146333
Gaussian proof for the sum of squares?
123427
Proving the sum of the first $n$ natural numbers by induction
94019
Find all $p$'s such that $p^4 + p^3 + p^2 + p +1$ is a perfect square.
32260
Alternating Sum of Cubes
149716
Prove that $ \sqrt{n(n+1)(n+2)(n+3)+1} $ is always a natural number
72666
Prime Numbers And Perfect Squares