Is there a tetrahedral number that is also a perfect cube? How would I prove or disprove?
118197
Solve $n(n+1)(n+2)=6m^3$ in positive integers
66216
Squares, Cubes and Prime numbers
60349
Schur's theorem and numbers
60785
How to create a tetrakaidecahedron and keep only the edges?
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
44528
The only natural number $x$ for which $x+\sqrt{-2}$ is a cube in $\mathbb{Z}[\sqrt{-2}]$ is $x=5$
106618
A Regular Tetrahedron is a cool Polyhedron.
19588
$n!+1$ being a perfect square
92672
Number of elements which are cubes/higher powers in a finite field.
125401
Mathematical Induction: Sum of first n odd perfect cubes
29003
Is the dihedral group $D_n$ nilpotent? solvable?
136964
Prove there exist 135 consecutive integers that each have a perfect cube $>1$ that divides it.
142580
Prove that a perfect square is either a multiple of $4$ or of the form $4q+1$.
3479
How to count the no. of distinct ways in which $1,2,...,6$ can be assigned to $6$ faces of a cube?
45911
Prove that none of $\{11, 111, 1111,\dots \}$ is the perfect square of an integer
101832
Proof that sum of first $n$ cubes is always a perfect square
53513
Why is it that in $\mathbb{F}_q \setminus 0$, there are exactly as many squares as non-squares?