Solutions: OC366–OC375

[摘要] Prove that there exist in nitely many positive integer triples (a; b; c)such that a; b; c are pairwise relatively prime, and ab+c; bc+a; ca+b are pairwiserelatively prime.Originally 2016 China Western Mathematical Olympiad Day 2 Problem 5.We received 6 submissions. We present 3 solutions.Solution 1, by Shuborno Das.

[学科分类] 数学（综合）