Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
 Already signed up? New to KöMaL?

Problem A. 633. (January 2015)

A. 633. Prove that if $\displaystyle n$ is a sufficiently large positive integer then among any $\displaystyle n$ distinct positive integers there are four whose least common multiple is greater than $\displaystyle n^{3.99}$.

(5 pont)

Deadline expired on February 10, 2015.

Statistics:

 5 students sent a solution. 5 points: Janzer Barnabás, Szabó 789 Barnabás, Williams Kada. 0 point: 2 students.

Problems in Mathematics of KöMaL, January 2015