This problem is an intermediate application of the polynomials and invoking a cute number theoritic argument to make it a good problem to try with our sequential hints.
This problem is an intermediate application of the polynomials and invoking a cute number theoritic argument to make it a good problem to try with our sequential hints.
So we all know about Hardy-Ramanujan Number 1729. I found some extensions of these type of number we are really mind cracking and amazing.
American Math Contest (AMC 10A) 2007, Problem 20 solution. Well, this is a very basic but interesting algebra problem where we can play with squares.
This problem is an intermediate application of basic number theoritical principles. from Italy MO Solve this problem with the help of Sequential Hints.
AMC 10A 2015, Problem 22 needed a clever trick of probability and combinations and playing with numbers. See the solution with sequential hints.
AMC 10A 2016 Problem 22 solution. See the solution with sequential hints. For some positive integer, the number has positive integer divisors
This problem is a very simple application of the principle of parity and divisibilty in elementary number theory. Try out with our sequential hints.
The second factor has k digits, is an integer whose digits have a sum of 1000.
AMC 10A 2017, Problem 25 needed a clever trick of combinations and playing with numbers. See the solution with sequential hints.
Regional Math Olympiad (RMO) 2019, Problem 3 needed a clever trick from algebraic manipulation and playing with numbers. See solution with sequential hints.