2147483647

2147483647（廿一亿四千七百四十八万三千六百四十七）是2147483646搭2147483648之间个自然数，等于 $2^{31}-1$ 。伊是第8隻梅森素数，也是4隻已知个双重梅森素数个其中一隻，勒垃1772年欧拉用试除法判定伊是素数以后^[1]^[2]，到1867年，伊是已知个最大个素数。^[3]

迭個数用二进制表示就是1111111111111111111111111111111（31個1），是32位操作系统里向顶大个符号型整型常量，弗少32位游戏个最大数据值侪是2147483647。

参考

↑ Gautschi, Walter（1994）．Mathematics of Computation, 1943–1993: A Half-Century of Computational Mathematics ，Proceedings of Symposia in Applied Mathematics．Providence, Rhode Island：American Mathematical Society．ISBN 978-0-8218-0291-5．
↑ Dunham, William（1999）．Euler: The Master of Us All ．Washington, DC：Mathematical Association of America．ISBN 978-0-88385-328-3．
↑ Caldwell, Chris (8 December 2009). The Largest Known Prime by Year: A Brief History. University of Tennessee at Martin. The Prime Pages.

[1] Gautschi, Walter（1994）．Mathematics of Computation, 1943–1993: A Half-Century of Computational Mathematics ，Proceedings of Symposia in Applied Mathematics．Providence, Rhode Island：American Mathematical Society．ISBN 978-0-8218-0291-5．

[2] Dunham, William（1999）．Euler: The Master of Us All ．Washington, DC：Mathematical Association of America．ISBN 978-0-88385-328-3．

[The_Largest_Known_Prime_by_Year-3] Caldwell, Chris (8 December 2009). The Largest Known Prime by Year: A Brief History. University of Tennessee at Martin. The Prime Pages.

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