インテジャーズ

INTEGERS

数、特に整数に関する記事。

とある517桁の素数

1111111111111111111111111111111111111111111111115555555555555555555555555555555555555555555551155111155511115551111155155555555555155111115511551555155155515555155551155555555511551555555115515551551555155551555515155555551515511155551155111155511115555515555155155555155155155555511551555555155155555155551555155515551551555555115515555551555155551555515555151555515515555551155155555515551551111155155555155555155111115511555555555555555555555555555555555555555555555111111111111111111111111111111111111111111111111

517桁の素数ですが、517=11\times 47なので長方形型に表示すると


\begin{align}
&11111111111111111111111111111111111111111111111 \\
&15555555555555555555555555555555555555555555551 \\
&15511115551111555111115515555555555515511111551 \\
&15515551551555155551555511555555555115515555551 \\
&15515551551555155551555515155555551515511155551 \\
&15511115551111555551555515515555515515515555551 \\
&15515555551551555551555515551555155515515555551 \\
&15515555551555155551555515555151555515515555551 \\
&15515555551555155111115515555515555515511111551 \\
&15555555555555555555555555555555555555555555551 \\
&11111111111111111111111111111111111111111111111\end{align}


となり、色をつけると


\begin{align}
&\color{blue}{11111111111111111111111111111111111111111111111} \\
&\color{blue}{1}\color{yellow}{555555555555555555555555555555555555555555555}\color{blue}{1} \\
&\color{blue}{1}\color{yellow}{55}\color{blue}{1111}\color{yellow}{555}\color{blue}{1111}\color{yellow}{555}\color{blue}{11111}\color{yellow}{55}\color{blue}{1}\color{yellow}{55555555555}\color{blue}{1}\color{yellow}{55}\color{blue}{11111}\color{yellow}{55}\color{blue}{1} \\
&\color{blue}{1}\color{yellow}{55}\color{blue}{1}\color{yellow}{555}\color{blue}{1}\color{yellow}{55}\color{blue}{1}\color{yellow}{555}\color{blue}{1}\color{yellow}{5555}\color{blue}{1}\color{yellow}{5555}\color{blue}{11}\color{yellow}{555555555}\color{blue}{11}\color{yellow}{55}\color{blue}{1}\color{yellow}{555555}\color{blue}{1} \\
&\color{blue}{1}\color{yellow}{55}\color{blue}{1}\color{yellow}{555}\color{blue}{1}\color{yellow}{55}\color{blue}{1}\color{yellow}{555}\color{blue}{1}\color{yellow}{5555}\color{blue}{1}\color{yellow}{5555}\color{blue}{1}\color{yellow}{5}\color{blue}{1}\color{yellow}{5555555}\color{blue}{1}\color{yellow}{5}\color{blue}{1}\color{yellow}{55}\color{blue}{111}\color{yellow}{5555}\color{blue}{1} \\
&\color{blue}{1}\color{yellow}{55}\color{blue}{1111}\color{yellow}{555}\color{blue}{1111}\color{yellow}{55555}\color{blue}{1}\color{yellow}{5555}\color{blue}{1}\color{yellow}{55}\color{blue}{1}\color{yellow}{55555}\color{blue}{1}\color{yellow}{55}\color{blue}{1}\color{yellow}{55}\color{blue}{1}\color{yellow}{555555}\color{blue}{1} \\
&\color{blue}{1}\color{yellow}{55}\color{blue}{1}\color{yellow}{555555}\color{blue}{1}\color{yellow}{55}\color{blue}{1}\color{yellow}{55555}\color{blue}{1}\color{yellow}{5555}\color{blue}{1}\color{yellow}{555}\color{blue}{1}\color{yellow}{555}\color{blue}{1}\color{yellow}{555}\color{blue}{1}\color{yellow}{55}\color{blue}{1}\color{yellow}{555555}\color{blue}{1} \\
&\color{blue}{1}\color{yellow}{55}\color{blue}{1}\color{yellow}{555555}\color{blue}{1}\color{yellow}{555}\color{blue}{1}\color{yellow}{5555}\color{blue}{1}\color{yellow}{5555}\color{blue}{1}\color{yellow}{5555}\color{blue}{1}\color{yellow}{5}\color{blue}{1}\color{yellow}{5555}\color{blue}{1}\color{yellow}{55}\color{blue}{1}\color{yellow}{555555}\color{blue}{1} \\
&\color{blue}{1}\color{yellow}{55}\color{blue}{1}\color{yellow}{555555}\color{blue}{1}\color{yellow}{555}\color{blue}{1}\color{yellow}{55}\color{blue}{11111}\color{yellow}{55}\color{blue}{1}\color{yellow}{55555}\color{blue}{1}\color{yellow}{55555}\color{blue}{1}\color{yellow}{55}\color{blue}{11111}\color{yellow}{55}\color{blue}{1} \\
&\color{blue}{1}\color{yellow}{555555555555555555555555555555555555555555555}\color{blue}{1} \\
&\color{blue}{11111111111111111111111111111111111111111111111}\end{align}


とPRIME(素数)が浮かび上がります。






出典: https://primes.utm.edu/curios/page.php?number_id=2753