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# Category Archives: Azerbaijan

## [Soln] 2016 Azerbaijan Junior Math Olympiad Problem 5

2016 AzJMO 5. Positive integers are called a good quadruple if: a) is an odd prime, b) , and are distinct, and c) , and are divisible by . Prove that for all good quadruples, , and show when equality holds. … Continue reading

## 2016 Azerbaijan Junior Math Olympiad Problem 5

2016 AzJMO 5. Positive integers are called a good quadruple if: a) is an odd prime, b) , and are distinct, and c) , and are divisible by . Prove that for all good quadruples, , and show when equality holds.

## [Soln] 2016 Azerbaijan Junior Math Olympiad Problem 2

2016 AzJMO 2. Prove that for a real number , if is an integer, then is also an integer, where is a positive integer.