3
Part of 2015 AIME Problems
Problems(2)
Expression is a Cube
Source: 2015 AIME I Problem 3
3/20/2015
There is a prime number such that is the cube of a positive integer. Find .
number theoryprime numbersAMCAIMEAIME Ifactoring polynomials
Sum of Digits of Integer is Divisible by Integer
Source: 2015 AIME 2 Problem 3
3/26/2015
Let be the least positive integer divisible by whose digits sum to . Find .
number theorymodular arithmetic