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which presents the concepts of prime numbers and factoring

in a novel and colorful way. The book is based on a

poster I made.

The book starts with a 20 page introduction, written

at an elementary school level. After explaining multiplication,

prime numbers, and factoring, the introduction lays out the

general idea for the rest of the book, as I'll now describe.

To each prime number, we associate a pattern of dots

and a monster. Examples:

There is something about each monster that has to do with the prime.

Part of the fun of the book is figuring out how the monster is related to its prime.

For each composite number, we factor the number into primes

and then draw a scene that involves the corresponding monsters. We also show

an arrangement of dots and a factoring tree that helps explain

the picture. (A

shows one way to factor the number into primes.) Examples:

The end of the book has two short appendices. The first

appendix explains the Sieve of Eratosthenes , an ancient method

for generating the primes. The second appendix gives a liesurely

account of Euclid's famous proof that there exist infinitely many primes.