This study used computer programs and statistical software to discuss Goldbach conjecture: each even number greater than 2 can be broken down into two prime numbers and their sum must be equal to the even number. The first chapter described the motivation and purpose, as well as the history of Goldbach conjecture and its developments. The second chapter used JAVA program to operate the number of ways to write an even number as the sum of two primes. The third chapter used SPSS19 to analyze the relations between the numbers of ways to write an even number as the sum of two primes and the even number. The fourth chapter used the same code to discuss the computing time with various computer hardware and whether there are significant differences. At last, we discussed differences of computing times with the same hardware but with different operating systems.
目 錄
第一章 緒論
第一節 研究動機與目的......................................................................................1
第二節 哥德巴赫猜想之歷史..............................................................................2
第三節 研究目地..................................................................................................4
第二章JAVA相關內容
第一節 判定一任意自然數是否為質數..............................................................5
第二節 偶數的分拆數..........................................................................................7
第三節 4~1000可分解之歌德巴赫猜想之組數......................................9
第三章 用統計軟體分析歌德巴赫
第一節 以統計的觀念切入的歌德巴赫分拆數................................................12
第二節 統計相關軟體處理分拆數....................................................................14
第三節 結論.......................................................................................................21
第四章 計算機效能與演算法的運用
第一節 硬體的討論............................................................................................22
第二節 軟體的討論............................................................................................26
第三節 結論.......................................................................................................29
參考文獻.......................................................................................................30
王建興,王舜正(2008)。Thinking in JAVA 4/e中文版。台北市:碁峯資訊。
邱皓政(2010)。SPSS量化研究與統計分析。台北市:五南書局。
維基百科,自由的百科全書(2012)。2012:06:30,取自:
http://zh.wikipedia.org/wiki/哥德巴赫