6
Part of 2018 All-Russian Olympiad
Problems(2)
All-Russian Olympiad Day 2 Problems 10.6.
Source: All-Russian Olympiad 2018
4/25/2018
and are given positive integers. Prove that there are infinitely many positive integers such that doesn't divide .
number theory
All-Russian MO 2018 Grade 11 P6
Source: All-Russian MO 2018 Grade 11 P6
4/28/2018
Three diagonals of a regular -gon prism intersect at an interior point . Show that is the center of the prism.
(The diagonal of the prism is a segment joining two vertices not lying on the same face of the prism.)
geometry3D geometryprism