New posts in Sums Of Squares

Value of $(\alpha^2+1)(\beta^2+1)(\gamma^2+1)(\delta^2+1)$ if $z^4-2z^3+z^2+z-7=0$ for $z=\alpha$, $\beta$, $\gamma$, $\delta$

Can we prove a stronger claim?

$\{a+b|a,b\in\mathbb N^+\wedge ma^2+nb^2\in\mathbb P\}=\{k>1|\gcd(k,m+n)=1\}$

Any odd number is of form $a+b$ where $a^2+b^2$ is prime

How do I prove that powers of 5 are the sum of two squares using mathematical induction

Every number is the sum of three squares with signs

Show that $x^2+y^2+z^2=999$ has no integer solutions

Let $p$ be a prime so $p\equiv3\pmod4$. If $p|a^2+b^2$, then $p|a,b$

Chinese New Year Equation 2016

Show $a^2 + b^2 + 1 \equiv 0 \mod p$ always has a solution if $p = 4k+3$