Maths Olympiad Prep

Library / /337 of 475

, 1998

Number theory Difficulty 2.0 Junior Find the answer Canada

If 1998=psqtru1998 = p^s q^t r^u, where pp, qq and rr are prime numbers, what is the value of p+q+rp+q+r?

(A) 222222 (B) 4848 (C) 4242 (D) 6666 (E) 122122

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: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.