Question 1
Find all triples of positive integers $(x,y,z)$ satisfying
$$2(x+y+z+2xyz)^2=(2xy+2yz+2zx+1)^2+2023.$$
Proposed by Titu Andreescu. Source: Evan Chen’s third-party compilation; https://aops.com/community/p27349258. One editorial point; manual grading.
$$2(x+y+z+2xyz)^2=(2xy+2yz+2zx+1)^2+2023.$$
Proposed by Titu Andreescu. Source: Evan Chen’s third-party compilation; https://aops.com/community/p27349258. One editorial point; manual grading.