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 square perfect number, explore and reveal for the first time the secret relationship between square perfect number and Fibonacci sequence, Lucas sequence, twin prime conjecture and Fermat prime.Key Features: oThe competitive advantage is described as above, moreover, as Albert Einstein said after he discovered the theory of relativity, "the real law is nonlinear"oThe discovery of square perfect number and its necessary and sufficient condition confirms this
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