| 张必胜,姚远.李善兰《考数根法》研究[J].井冈山大学自然版,2011,(4):25-29 |
| 李善兰《考数根法》研究 |
| RESEARCH ABOUT 'KAO SHUGEN LAWS' OF LI SHAN-LAN |
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| DOI： |
| 中文关键词: 考数根法 李善兰（1811—1882） 素数 费马小定理 |
| 英文关键词: kao shugen laws Li Shan-lan prime numbers Fermat's small theorem |
| 基金项目:国家自然科学基金项目(10771169); 国家社会科学基金项目(07XXW004) |
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| 中文摘要: |
| 基于李善兰考数根法原始文献的解读,将其解译为素数判定的数学定理,并表述为完整的现代数学符号语言。认为其等价于费马小定理,其素数判定的方法可解析为：屡乘求一、天元求一、小数回环、准根分级4种方法,进而将其具体分解为减少结算量而求定次d,李善兰给出了素数判定的充分必要条件。 |
| 英文摘要: |
| Based on interpretation original documents about the kao shugen laws of Li Shan-lan,which is interpreted as the mathematical theory of prime numbers,and expressed as a complete language of modern mathematical symbols.It is equivalent to Fermat's small theorem.Its mathematical judgment methods of prime numbers be classified:nu-cheng find one method,tian-yuan find one method,xiao-shu loop back method,quasi-root classification method,then reduce the amount to break for the sake of its specific set times d,ulti... |
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