The positive integers , and are all different. None of them is a square but all the products , and are squares.
What is the least value that can take?
Select one option, then click Submit.
14
28
42
56
70
Select an option, then submit.
Sign in or create an account to reveal answers, view the solution, and save your progress. Create a free account to unlock practice and keep track of your work.
Intermediate Mathematical Challenge 2014 (2014)
One puzzle per day. Cryptarithm, Magic Square, Summit. No sign-up required to play.
Play daily puzzle →Interactive problems and curated lessons—water pouring, magic squares, knight's tour, and more.
Browse library →See how you rank. Top solvers by problems solved correctly. Sign in to climb the ranks.
View leaderboard →Intermediate Mathematical Challenge 2014 (2014)