This problem in number theory is an elegant applications of the ideas of quadratic and cubic residues of a number. Try with our sequential hints.
This problem in number theory is an elegant applications of the ideas of quadratic and cubic residues of a number. Try with our sequential hints.
This problem is an advanced number theory problem using the ideas of lifting the exponents. Try with our sequential hints.
AMC 10A 2008, Problem 23 needed a clever trick of set theory and combinations. See the solution with sequential hints for a subset theory-based problem
This algebra problem is an elegant application of culminating the ideas of polynomials to give a simple proof of an inequality. Try with our sequential hints.
This problem is a beautiful and simple application of the ideas of inequality and bounds in number theory. Try with our sequential hints.
This problem in number theory is an elegant applciations of the modulo technique used in the diophantine equations. Try with our sequential hints
American Mathematical Olympiard 10A Problem 21 Solutuon. The main idea here in this problem is to use some formulae of induction and finding factors.
This problem in number theory is an elegant application of the ideas of the proof of infinitude of primes from Korea. Try with our sequential hints.
This problem is a basic application of triangle inequality along with getting to manipulate the modulus function efficently. Try with our sequential hints.
This problem is a beautiful application of prime factorization theorem, and reveal how important it is. Try with our sequential hints.