# Number Theory

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### How to Teach Numbers to Young Kids

Young kids love numbers. They love counting too. Kids always tell how old they are using their fingers. These are signs that the young kids can easily learn numbers.

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### Beatty Sequences: Mathematical Curiosities with Irrational Numbers and Integers

A partition of a set of numbers is when you divide it into two or more non-overlapping subsets where every element of the original set is contained in one subset. Both finite and infinite sets can be partitioned. For...

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### How to Tell If a Number Is a Pentagonal Number

How to tell if N is a pentagonal number. Formula for pentagonal numbers and inverse formula for determining if a given number is pentagonal. If yes, the formula gives the index.

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### How to Tell If a Number is Triangular

Most people learn about triangular numbers in school. Triangular numbers are the sum of consecutive integers starting with 1. The first few triangular numbers are 1 1+2 = 3 1+2+3 = 6 1+2+3+4 = 10 1+2+3+4+5 =...

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### Math Facts About the Number 29

What's special about the number 29? Plenty! Twenty-nine is not only prominent in pop culture, but has deeper mathematical significance too. Like many prime numbers such as 3, 7, and 13, the number 29 may be seen as...

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### Fun Facts About the Number 17

Seventeen is a special number that appears numerous times in the Old Testament of the Bible, in many legends in Islamic traditions, and is often cited as being the "least random number" -- owing to the fact...

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### Number Symbolism

Let us look on the symbolic roles that numbers have played in different cultures, religion, beliefs and human thoughts.

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### Centered Hexagonal Numbers

Centered hexagonal numbers are a type of figurate number such as squares, triangular numbers, tetrahedral numbers, etc. A centered hexagonal number is one such that if you have that many dots or points, you can arrange...

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### What Is a Triangular Number?

Triangular Numbers do not need to cause confusion! Come in and see some of them.

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### Stars and Bars (Combinatorics)

The method of "Stars and Bars", ("Balls and Sticks", "Dots and Lines", etc.) is a simple and useful tactic for engaging seemingly convoluted combinations problems. This strategy is useful...

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