MathDB

12

Part of 2012 Hanoi Open Mathematics Competitions

Problems(2)

Q12 - Hanoi Open Mathematical Olympiad 2012 - Junior Section

Source:

6/10/2012
Q12. Find all positive integers PP such that the sum and product of all its divisors are 2P2P and P2P^2, respectively.
HOMC-2012

Source:

1/29/2016
In an isosceles triangle ABC with the base AB given a point M āˆˆ\in BC: Let O be the center of its circumscribed circle and S be the center of the inscribed circle in ABC and SM // AC: Prove that OM perpendicular BS.
geometryAMC