…This is called the Lucas criterion and is a powerful method for finding Mersenne numbers. M k was shown to be prime for k = 13, 17, and 19 by PA Cataldi at the end of the 16th century, k = 31 by L. Euler in 1772, and k = 127 by Lucas in 1876. It was later shown that k = 61, 89, and 107 also give Mersenne numbers. … *Some of the terminology that mentions "Cataldi, PA" is listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…これはルカス判定法と呼ばれメルセンヌ数を見いだす強力な方法である。k=13,17,19のときは16世紀末にカタルディP.A.Cataldiによって,k=31は1772年にL.オイラーによって,k=127は1876年にルカスによって,Mkが素数であることが示された。その後k=61,89,107もメルセンヌ数を与えることが示された。… ※「Cataldi,P.A.」について言及している用語解説の一部を掲載しています。 出典|株式会社平凡社世界大百科事典 第2版について | 情報 |
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