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The number 2 has intriguing mathematical properties that set it apart from other integers. It is the smallest and only even prime number, making it fundamental in number theory. Two is unique as it is the only number for which the sum of the reciprocals of its powers equals itself. Additionally, it and the number 3 are the only pair of consecutive primes. In Chinese culture, the number 2 holds significance. Understanding these properties enhances our appreciation for this essential integer.
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My Favorite Number II MengTso-Chun
Properties of 2 • An integer is called even if it is divisible by 2. • 2 is the smallest and the first prime number, and the only even one. • 2 and 3 are the only two consecutive prime numbers.
Properties of 2 • 2 is the only number x such that the sum of the reciprocals of the powers of x equals itself. • The was the first known irrational number. • The smallest field has 2 elements.