以運算和繪圖看質數的魔力

整數之間充滿著美妙的關係，它在美學裡的地位之高，凌駕它的同類實數與複數。而在整數中最重要的一個子集合就是質數，質數是數字中的寶石。本文利用C++的程式語言找出大量質數，並利用運算和繪圖的技術去呈現質數中許多重要的定理和美妙的公式。透過數值或圖形去傳遞數學思考，深入理解這個國中就出現的數學題材。本文所呈現的內容如質數的尋找方法、質數會越來越少、質數定理、雙胞質數及有關質數的許多美妙關係式等，皆為數學家所重視的內容，本文以簡單的方式將這些題材表達出來，期望對數學的推廣工作有所貢獻。

關鍵字

質數定理；雙胞質數

並列摘要

The amazing relationship among integers is more interesting than real and complex numbers. Prime numbers, the precious jewel of integers, is the most important subset of integers. In this article, large amount of primes are found to illustrate the beautiful theorem and representative formulas of primes. Numerical and graphical illustrations are demonstrated using C++ programming technique.Prime number theorem, twin primes, several beautiful equations, as well as the method of finding prime numbers are computed numerically. Figures are shown to express the important idea of primes. This article present prime numbers in comprehensible manner, that is helpful for mathematical education.

並列關鍵字

Prime Number Theorem ； Twin Primes

國際替代計量

以運算和繪圖看質數的魔力

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