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Math
Advanced Topics
Intro to Number Theory
Intro to Congruence and Euclid's Algorithms
Improved Euclidean Algorithm
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Explanations
1
Recall that the Greatest Common Divisor (gcd) of two integers A and B is the largest integer that divides both A and B. The Euclidean Algorithm is a technique for quickly findin…
By Iris, Jiazhen Tan, Victor Wang
Problems
1
Determine the number of ordered pairs of positive integers (x,y)(x,y)(x,y) with y<x≤100y < x \le 100y<x≤100 such that x2−y2x^2-y^2x2−y2 and x3−y3x^3 - y^3x3−y3 are relatively pr…
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