数字魔鬼

一时失言乱红尘 2022-09-18 05:58 121阅读 0赞

[![The Sacrament of the Last Supper, 1955 圣礼最后的晚餐 点击放大][The Sacrament of the Last Supper_ 1955 _]][The Sacrament of the Last Supper_ 1955 _ _The Sacrament of the Last Supper_ 1955]

### 魔鬼数字 ###

## Ed Pegg Jr. and Chris Lomont, October 4, 2004 ##

*This calls for wisdom. If anyone has insight, let them calculate the number of the beast, for it is man's number. His number is* *666.* (Revelations 13:18)

**666 引发出众多的数字惊奇**. Mike Keith 用了整页的篇幅去列举这个邪恶之数 [number of the beast][]的神奇性质.下面仅列举几例：

*  φ/2 + *sin*(666) = 0. (φ 是黄金分割率 [Golden Ratio][])
 *  φ(666) = 6·6·6. (在这儿, φ(n) 表示 [Euler Totient Function][]，译者注：代表不大于n的与n互素的自然数的个数)
 *  666 = 16 \- 26 \+ 36.
 *  666 = 2² + 3² + 5² + 7² + 11² + 13² + 17²
 *  圆周率 [π][Link 1] 的前144位数字之和等于 666.
 *  黄金分割率 [φ][Golden Ratio] 的前146位之和等于 666. ( Ilan Honig 最新发现)

魔鬼数字有多普遍呢?[*Mathematical Constants*][Mathematical Constants] \--列举了大概905个这样的数。

*  [Ramanujan constant][] 的前132 位数字之和等于666. (262537412640768743.999999999999250072597 ...)
    
     *  [hard hexagon entropy constant][] 的前137 位数字之和等于666. (1.395485972479302735229500663566 ...)
     *  [first Stieltjes constant][] 的前141 位数字之和等于666. (-0.072815845483676724860586375874901319 ...)
     *  31/2 的前146 位数字之和等于666. (1.7320508075688772935274463415058723669428052538103806 ...)
     *  [Glaisher-Kinkelin constant][] 的前153 位数字之和等于666. (1.282427129100622636875342568869791 ...)
     *  [Cube Line Picking constant][] 的前154 位数字之和等于666. (0.66170718226717623515583113324841 ...)
     *  21/3 的前156 位数字之和等于666. (1.2599210498948731647672106072782283505702514647015079 ...)
    
    同样可以考虑常数的连分数[continued fraction expansion][].（CF）
    
     *   [Cube Line Picking constant][] 的CF前51 位数字之和等于666. (0, 1, 1, 1, 21, 1, 2, 1, 4, 10, 1, 2, 2, 1, ...)
     *  [CF of π][CF of] 的CF前57 位数字之和等于666. (3, 7, 15, 1, 292, 1, 1, 1, 2, 1, 3, 1, 14, 2, 1, 1, 2, 2, 2, 2, 1, 84, 2, 1, ...)
     *   [Bloch constant][] 的CF前59 位数字之和等于666. (0, 2, 8, 2, 1, 1, 2, 102, 1, 4, 2, 2, 4, 1, 3, 3, 1, 1, 1, ...)
     *   [Gauss constant][] 的CF前144 位数字之和等于666. (0, 1, 5, 21, 3, 4, 14, 1, 1, 1, 1, 1, 3, 1, 15, 1, 3, 8, ...)
     *   [Landau Constant][] 的CF前174 位数字之和等于666. (0, 1, 1, 5, 3, 1, 1, 2, 1, 1, 6, 3, 1, 8, 11, 2, 1, 1, ...)
    
     译者注：本文有删节
 *  原文[Evil Numbers][]  
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    **其他文章：**
    
    [从魔术师到统计学家1][1]
    
     [数学聊斋之一][Link 2]
    
    [仿佛来自虚空，Grothendieck的故事1][Grothendieck_1]
    
    [google一些鲜为人知的搜索技巧-1][google_-1]
    
    [试图通俗地讲一下庞加莱猜想是怎么回事][Link 3]
    
    [Heroes in My Heart (1)][Heroes in My Heart _1]
    
    [美国如何变成数学超级强国][Link 4]
    
    [月光理论及推论][Link 5]
    
    [对数学未来的思考][Link 6]
    
    [Fields奖获得者分析][Fields]  
 *  <script type="text/javascript"> </script>

[The Sacrament of the Last Supper_ 1955 _]: http://www.elite-view.com/art/Religion_Spirituality/New_Testament_Scenes/9809~The-Sacrament-of-the-Last-Supper-1955-Posters.jpg
[The Sacrament of the Last Supper_ 1955 _ _The Sacrament of the Last Supper_ 1955]: http://www.elite-view.com/html/Religion_Spirituality/id--212006.html
[number of the beast]: http://users.aol.com/s6sj7gt/mike666.htm
[Golden Ratio]: http://mathworld.wolfram.com/GoldenRatio.html
[Euler Totient Function]: http://mathworld.wolfram.com/TotientFunction.html
[Link 1]: http://mathworld.wolfram.com/Pi.html
[Mathematical Constants]: http://pauillac.inria.fr/algo/bsolve/constant/constant.html
[Ramanujan constant]: http://mathworld.wolfram.com/RamanujanConstant.html
[hard hexagon entropy constant]: http://mathworld.wolfram.com/HardHexagonEntropyConstant.html
[first Stieltjes constant]: http://mathworld.wolfram.com/StieltjesConstants.html
[Glaisher-Kinkelin constant]: http://mathworld.wolfram.com/Glaisher-KinkelinConstant.html
[Cube Line Picking constant]: http://mathworld.wolfram.com/CubeLinePicking.html
[continued fraction expansion]: http://mathworld.wolfram.com/ContinuedFraction.html
[CF of]: http://mathworld.wolfram.com/PiContinuedFraction.html
[Bloch constant]: http://mathworld.wolfram.com/BlochConstant.html
[Gauss constant]: http://mathworld.wolfram.com/GausssConstant.html
[Landau Constant]: http://mathworld.wolfram.com/LandauConstant.html
[Evil Numbers]: http://www.maa.org/editorial/mathgames/mathgames_10_04_04.html
[1]: http://blog.csdn.net/Suprman/archive/2007/01/17/1485416.aspx
[Link 2]: http://blog.csdn.net/Suprman/archive/2007/01/17/1485387.aspx
[Grothendieck_1]: http://blog.csdn.net/suprman/archive/2007/01/17/1485368.aspx
[google_-1]: http://blog.csdn.net/suprman/archive/2007/01/10/1478679.aspx
[Link 3]: http://blog.csdn.net/suprman/archive/2007/01/05/1474379.aspx
[Heroes in My Heart _1]: http://blog.csdn.net/suprman/archive/2006/12/29/1467843.aspx
[Link 4]: http://blog.csdn.net/suprman/archive/2006/12/25/1459876.aspx
[Link 5]: http://blog.csdn.net/suprman/archive/2006/12/23/1456612.aspx
[Link 6]: http://blog.csdn.net/suprman/archive/2006/11/14/1383461.aspx
[Fields]: http://blog.csdn.net/suprman/archive/2006/11/08/1373104.aspx