Library / /17 of 44

, 2021

Number theory Difficulty 5.0 AIME, harder Prove it United Kingdom

By considering their difference, or otherwise, find all possibilities for the common factors of $n$ and $n+3$ .

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.