Number Theory, Cyprus IMO TST 2018, Problem 1

Number Theory, Cyprus IMO TST 2018, Problem 1

Understand the problem Determine all integers for which the number in base is a perfect square. Source of the problem Cyprus IMO TST 2018, Problem 1 Topic Number Theory Difficulty Level 7/10 Suggested Book Challenges and Thrills of Pre College Mathematics Start...
Number Theory, South Africa 2019, Problem 6

Number Theory, South Africa 2019, Problem 6

Understand the problem Determine all pairs of non-negative integers that satisfy the equation Source of the problem South Africa MO 2019, Problem 6 Topic Number Theory Difficulty Level 7/10 Suggested Book Excursion in Mathematics by Bhaskaracharya Prathisthan Start...
Number Theory, Korea Junior MO 2015, Problem 7

Number Theory, Korea Junior MO 2015, Problem 7

Understand the problem For a polynomial with integer coefficients and degree no less than , prove that there are infinitely many primes which satisfies the following. There exists an integer such that and is a multiple of . Source of the problem Korea Junior MO...
Inequality, Israel MO 2018, Problem 3

Inequality, Israel MO 2018, Problem 3

Understand the problem Determine the minimal and maximal values the expression can take, where are real numbers. Source of the problem Israel MO 2018, Problem 3 Topic Algebra, Inequality Difficulty Level 6/10 Suggested Book Excursion in Mathematics by Bhaskarcharya...
Number Theory, Greece MO 2019, Problem 3

Number Theory, Greece MO 2019, Problem 3

Understand the problem Find all positive rational that satisfy the equation : Source of the problem Greece MO 2019, Problem 3 Topic Number Theory Difficulty Level 7/10 Suggested Book Challenges and Thrills of Pre College Mathematics Start with hints Hint 0Hint 1Hint...