MathDB

p|n^2 +3, p|k^2 +3

Source:

November 21, 2020

prime numbersnumber theory

Problem Statement

Prove that there are infinitely many positive

n

that for all prime divisors

p

n^2 + 3, \exists 0 \leq k \leq \sqrt{n}

and

p \mid k^2+3