# Exploring the Beauty of Numbers and Math

## Numbers & Mathematical Concepts that Everybody Needs to Know

Sometimes, numbers are found using beautiful equations and formulas. They can also have mathematical beauty in that their properties offer a predictable outcome that is visually and intellectually appealing.

From infinity to the Golden ratio, this article will discuss a few interesting mathematical concepts and theories.

# Goldbach’s Conjecture

*Goldbach’s Conjecture* is one of the oldest and most famous unsolved problems in number theory. It was first proposed by the Prussian mathematician Christian Goldbach in a letter to Leonhard Euler in 1742. Goldbach’s Conjecture actually has two parts:

**Weak conjecture:**States that every odd number greater than 5 can be expressed as the sum of three prime numbers.

- Examples: 7 = 2 + 2 + 3, 9 = 2 + 2 + 5, 11 = 3 + 3 + 5.

**Strong conjecture:**States that every even integer greater than 2 can be expressed as the sum of two prime numbers.

- Examples: 4 = 2 + 2, 6 = 3 + 3, 8 = 3 + 5, 10 = 5 + 5.

In his 1742 letter to Euler, Goldbach originally conjectured that every integer greater than 2 can be written as the sum of three primes…