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Perfect Numbers

机译:完美数字

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摘要

According to Pythagoras (who was born between 580 BC and 572 BC and died between 500 BC and 490 BC), a perfect number is a number that is equal to the sum of its proper, positive divisors, excluding itself. Early mathematicians defined perfect numbers to be equal to the sum of their aliquot parts. Aliquaparts of a number are its proper divisors (not including the number). This concept is deceptively simple. However, the rarity of perfect numbers reveals their significance in number theory. Perfect numbers were studied by Pythagoras and his followers more for their mystical properties than for their number-theoretic properties, however.
机译:毕达哥拉斯(毕达哥拉斯(Pythagoras)出生于公元前580年至572年之间,死于公元前500年至490年之间),完美数字是等于其适当的,除数本身的正除数之和。早期的数学家将完美数定义为等于其等分部分之和。数字的等分位数是其适当的除数(不包括数字)。这个概念看似简单。但是,完美数的稀有性揭示了它们在数论中的重要性。毕达哥拉斯和他的追随者对完美数的研究更多地是由于其神秘性质而不是其数论性质。

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