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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…