New posts in Sums Of Squares

Writing an integer as a sum of two square in many ways, with consecutive arguments

Infimum taken over $\lambda$ in $\mathbb{C}$

Prove that if $3\mid a^2+b^2$ then $3\mid a$ and $3\mid b$.

Pythagorean triples

Show that an integer of the form $8k + 7$ cannot be written as the sum of three squares.

$ \exists a, b \in \mathbb{Z} $ such that $ a^2 + b^2 = 5^k $

Pythagorean Quadruples:

At least one member of a pythagorean triple is even

Find all solutions: $x^2 + 2y^2 = z^2$

Diophantine equation $a^2+b^2=c^2+d^2$