Question

5. Let $p$, $u$, and $v$ be integers. Prove that if $p$ is a prime integer and $p$ divides both $u$ and $u^2 + v^2$, then $p$ must divides $v$.

Name: 5. Let p, u, and v be integers. Prove that if p is a prime integer and p divides both u and u^2 + v^2, then p must divides v.
Uploaded: 2023-01-24T02:39:34-08:00
Duration: 1 min 6 s
Channel: Supreeta N
Description: 5. Let p, u, and v be integers. Prove that if p is a prime integer and p divides both u and u^2 + v^2, then p must divides v.

          5. Let $p$, $u$, and $v$ be integers. Prove that if $p$ is a prime integer and $p$ divides both $u$ and $u^2 + v^2$, then $p$ must divides $v$.