Prove or disprove that every even integer is the difference of two squares.
18633
Prove every odd integer is the difference of two squares
93657
Proving “The sum of $n$ consecutive cubes is equal to the square of the sum of the first $n$ numbers.”
100558
Prove that for any even positive integer $n$, $n^2-1 \mid 2^{n!}-1$
81267
A simple doubt in number theory problem.
19129
mathematical induction proof of a square vs factorial
92106
Prove that $n$ is a sum of two squares?
30136
Proof that a Combination is an integer
70619
Supposed $a,b \in \mathbb{Z}$. If $ab$ is odd, then $a^{2} + b^{2}$ is even.
18932
Squares in arithmetic progression
80229
How to prove this curiosity that has to do with cubes of certain numbers?
101832
Proof that sum of first $n$ cubes is always a perfect square
99606
Prove or disprove there exists a set of four numbers out of the $48$ positive integers of which product is a perfect square
123613
Double Complement of a set proof
13914
If $a^2+b^2=c^2$ then $a$ or $b$ is even.
31744
Proving that there is an irrational number between any two unequal rational numbers.
125702
There is a square $Q$ consisting of $(0,0), (2,0), (0,2), (2,2)$
120309
Number Theory Inequality Proof