In Chapter 5, we study how the co-primeness of element orders of a finite group influences its structure.

第五章主要研究有限群中元素的阶的互素性对群结构的影响。

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Finite automaton, a computational model of extremely limited computing ability, was proved to have the capability of solving primeness test by construction.

有穷自动机，一种计算能力极其有限的计算模型，具有解决素性测试的能力通过构造法得到了证明。

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You can't tell for certain that a number is prime without trying to factor it, but you can apply a number of simpler tests that will verify its primeness to any degree of certainty that you want.

你不能没有试着分解某个数就肯定地说这个数是质数，但是你可以使用大量的简单测试在某种你需要的程度上确认它是质数。

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You can't tell for certain that a number is prime without trying to factor it, but you can apply a number of simpler tests that will verify its primeness to any degree of certainty that you want.

你不能没有试着分解某个数就肯定地说这个数是质数，但是你可以使用大量的简单测试在某种你需要的程度上确认它是质数。

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