New posts in Sums Of Squares

Can a sum of $n$ squares be expressed as the sum of $n/2$ squares?

If the largest positive integer is n such that $\sqrt{n - 100} + \sqrt{n + 100}$ is a rational no. , find the value of $\sqrt{n - 1}$ .

Solution to Lagrange's Four Square Theorem with Fewest Terms

Conjecture: All but 21 non-square integers are the sum of a square and a prime

Can every natural number be written as a sum of signed odd squares?

$-1$ is not a sum of two squares in $\mathbb{Q}(\sqrt{-7})$

Prove that $A^2=a_1^2+a_2^2-a_3^2-a_4^2$ for all integers $A$.

Understanding some proofs-without-words for sums of consecutive numbers, consecutive squares, consecutive odd numbers, and consecutive cubes

If $xy$ divides $x^2 + y^2$ show that $x=\pm y$

Exploiting a Diophantine approximation of $\pi^4$ into giving a series of rationals for $\pi^4$