Bangladesh MO 2019 Problem 1 – Number Theory

Bangladesh MO 2019 Problem 1 – Number Theory

Understand the problem Find all prime numbers such that the square of the prime number can be written as the sum of cubes of two positive integers. Source of the problem Bangladesh MO 2019 Problem 1 Topic Number Theory Difficulty Level 5/10 Suggested Book A Friendly...
Belarus MO 2018 Problem 10.5 – Number Theory

Belarus MO 2018 Problem 10.5 – Number Theory

Understand the problem Find all positive integers  such that equation has a solution in integers  and . Start with hints Source of the problem Belarus MO 2018 Problem 10.5 Topic Number Theory Difficulty Level 5/10 Suggested Book An Introduction to Number Theory Hint...
Does there exist a Magic Rectangle?

Does there exist a Magic Rectangle?

Magic Squares are infamous; so famous that even the number of letters on its Wikipedia Page is more than that of Mathematics itself. People hardly talk about Magic Rectangles. Ya, Magic Rectangles! Have you heard of it? No, right? Not me either! So, I set off to...