In number theory, the Euclidean algorithm is a method for getting the greatest common factor (GCF) or highest common factor (HCF) of two positive integers. It is usually used for larger numbers since prime factorization can be used to get the greatest common factor of small numbers. Many students are confused with this method, but […]

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# High School Number Theory

## The Mystery of the Four Consecutive Numbers in the Fibonacci Sequence

The Fibonacci Sequence The Fibonacci sequence is the sequence of integers 0, 1, 1, 2, 3, 5, 8, 13, 21,… or 1, 1, 2, 3, 5, 8, 13, 21, … It is a sequence of numbers that starts with 0 (or 1) and each number is the sum of the previous two. The sequence first appeared in Liber […]

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## What are prime gaps and who is Yitang Zhang?

You have probably read a news about one professor proving The Prime Gap conjecture. In this post, I will give you an overview of what the excitement is all about in the mathematics community. This post is written for the high school students and those who are interested in mathematics that are non mathematics majors. […]

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