"In this book we first review the history and the current situation of the perfect number problem, including the origin of Mersenne prime number, and then the history and the current situation of Fibonacci sequence, both of which have our own research work. Later, we define the …
1. Concepts and history. 1.1. Basic concepts. 1.2. The history of amicable numbers. 1.3. Brief history of perfect and sociable numbers -- 2. Mathematical tools. 2.1. Computational complexity theory. 2.2. Primality testing. 2.3. Integer factorization. 2.4. Diophantine equations -…
This book is about perfect, amicable and sociable numbers, with an emphasis on amicable numbers, from both a mathematical and particularly a computational point of view. Perfect and amicable numbers have been studied since antiquity, nevertheless, many problems still remain. The…
