Welcome to the mysterious world of prime numbers. Prime numbers can be found across all aspects of mathematics, even in Magic Squares, which we’ll cover in upcoming posts. But first…Let’s start with the basics. What is a prime number? A[…]

# Category: Prime Numbers

## Introduction

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## Prime Numbers and Magic Squares

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Prime numbers tie into all sorts of different Magic Squares. Here’s a peek at how the relationship between the two plays out, based on the size and type of Magic Square. An Almost Prime Magic Square The great English puzzlist[…]

## Smith Numbers

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There is a special type of composite number called a Smith Number, where the sum of its digits equals the sum of the digits of its prime factors. Note, all primes are trivial Smith Numbers. For example, the number 94[…]

8 x 8 Prime Bordered Magic Square The following prime magic square has a magic sum of exactly 19,000! In addition, it is also a bordered prime magic square. The inner 4 x 4 square, (shaded red) is a prime[…]

## Consecutive Prime Magic Squares

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Orders 3 & 8 The following pair of prime magic squares collectively contains consecutive prime numbers. The 3 x 3 has a magic sum of 219. The 8 x 8 has a magic sum of 1460. Note: the sum of[…]

## The Sieve of Eratosthenes

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So far we have looked exclusively at the relationship between prime numbers and magic squares. Now let’s talk more about how we can identify and sequence prime numbers. Unlike other sequences of numbers in Mathematics there are no patterns, order[…]

## Arithmetic and Palindromic Primes

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As you can imagine, there are numerous examples out there in the mathematics world of prime numbers with curious properties. Arithmetic and Palindromic are just two examples. Arithmetic Primes An arithmetic sequence is one where the difference between consecutive terms[…]

## Prime Number Brain Teasers

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The time has come to put your brain to the test and see if you can solve a few Prime number riddles on your own. Remember, the more expertise you have around prime numbers, the easier it will be to[…]

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