Exploring the Beauty of Numbers and Math

Numbers & Mathematical Concepts that Everybody Needs to Know

10 min readJul 22, 2024

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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:

1. 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.
1. 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…

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