初 等 整 数 論 講 義 第 $2$ 版

$\blacktriangleleft$ $1.$ 素数表  $3.$ 実二次体 $\blacktriangleright$

『初等整数論講義 第 $2$ 版』目次へ



数     表

$2.$ 指 数 表  $\left(\ \text{I}\ \right)$

$\hphantom{111}3\hphantom{1}$$\hphantom{111}5\hphantom{1}$$\hphantom{111}7\hphantom{1}$$\hphantom{11}11\hphantom{1}$$\hphantom{11}13\hphantom{1}$$\hphantom{11}17\hphantom{1}$$\hphantom{11}19\hphantom{1}$$\hphantom{11}23\hphantom{1}$$\hphantom{11}29\hphantom{1}$$\hphantom{11}31\hphantom{1}$$\hphantom{11}37\hphantom{1}$$\hphantom{11}41\hphantom{1}$$\hphantom{11}43\hphantom{1}$$\hphantom{11}47\hphantom{1}$
$\begin{array}{r}\hphantom{111}1\hphantom{1}\\[-3mm]\hphantom{111}2\hphantom{1}\\[-3mm]\hphantom{111}3\hphantom{1}\\[-3mm]\hphantom{111}4\hphantom{1}\\[-3mm]\hphantom{111}5\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}0\hphantom{1}\\[-3mm]\hphantom{111}1\hphantom{1}\\[-3mm]\ \\[-3mm]\ \\[-3mm]\ \end{array}$$\begin{array}{r}\hphantom{111}0\hphantom{1}\\[-3mm]\hphantom{111}1\hphantom{1}\\[-3mm]\hphantom{111}3\hphantom{1}\\[-3mm]\hphantom{111}2\hphantom{1}\\[-3mm]\ \end{array}$$\begin{array}{r}\hphantom{111}0\hphantom{1}\\[-3mm]\hphantom{111}2\hphantom{1}\\[-3mm]\hphantom{111}1\hphantom{1}\\[-3mm]\hphantom{111}4\hphantom{1}\\[-3mm]\hphantom{111}5\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}0\hphantom{1}\\[-3mm]\hphantom{111}1\hphantom{1}\\[-3mm]\hphantom{111}8\hphantom{1}\\[-3mm]\hphantom{111}2\hphantom{1}\\[-3mm]\hphantom{111}4\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}0\hphantom{1}\\[-3mm]\hphantom{111}1\hphantom{1}\\[-3mm]\hphantom{111}4\hphantom{1}\\[-3mm]\hphantom{111}2\hphantom{1}\\[-3mm]\hphantom{111}9\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}0\hphantom{1}\\[-3mm]\hphantom{11}10\hphantom{1}\\[-3mm]\hphantom{11}11\hphantom{1}\\[-3mm]\hphantom{111}4\hphantom{1}\\[-3mm]\hphantom{111}7\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}0\hphantom{1}\\[-3mm]\hphantom{11}17\hphantom{1}\\[-3mm]\hphantom{111}5\hphantom{1}\\[-3mm]\hphantom{11}16\hphantom{1}\\[-3mm]\hphantom{111}2\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}0\hphantom{1}\\[-3mm]\hphantom{111}8\hphantom{1}\\[-3mm]\hphantom{11}20\hphantom{1}\\[-3mm]\hphantom{11}16\hphantom{1}\\[-3mm]\hphantom{11}15\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}0\hphantom{1}\\[-3mm]\hphantom{11}11\hphantom{1}\\[-3mm]\hphantom{11}27\hphantom{1}\\[-3mm]\hphantom{11}22\hphantom{1}\\[-3mm]\hphantom{11}18\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}0\hphantom{1}\\[-3mm]\hphantom{11}12\hphantom{1}\\[-3mm]\hphantom{11}13\hphantom{1}\\[-3mm]\hphantom{11}24\hphantom{1}\\[-3mm]\hphantom{11}20\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}0\hphantom{1}\\[-3mm]\hphantom{11}11\hphantom{1}\\[-3mm]\hphantom{11}34\hphantom{1}\\[-3mm]\hphantom{11}22\hphantom{1}\\[-3mm]\hphantom{111}1\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}0\hphantom{1}\\[-3mm]\hphantom{11}26\hphantom{1}\\[-3mm]\hphantom{11}15\hphantom{1}\\[-3mm]\hphantom{11}12\hphantom{1}\\[-3mm]\hphantom{11}22\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}0\hphantom{1}\\[-3mm]\hphantom{11}39\hphantom{1}\\[-3mm]\hphantom{11}17\hphantom{1}\\[-3mm]\hphantom{11}36\hphantom{1}\\[-3mm]\hphantom{111}5\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}0\hphantom{1}\\[-3mm]\hphantom{11}30\hphantom{1}\\[-3mm]\hphantom{11}18\hphantom{1}\\[-3mm]\hphantom{11}14\hphantom{1}\\[-3mm]\hphantom{11}17\hphantom{1}\end{array}$
$\begin{array}{r}\hphantom{111}6\hphantom{1}\\[-3mm]\hphantom{111}7\hphantom{1}\\[-3mm]\hphantom{111}8\hphantom{1}\\[-3mm]\hphantom{111}9\hphantom{1}\\[-3mm]\hphantom{11}10\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}3\hphantom{1}\\[-3mm]\ \\[-3mm]\ \\[-3mm]\ \\[-3mm]\ \end{array}$$\begin{array}{r}\hphantom{111}9\hphantom{1}\\[-3mm]\hphantom{111}7\hphantom{1}\\[-3mm]\hphantom{111}3\hphantom{1}\\[-3mm]\hphantom{111}6\hphantom{1}\\[-3mm]\hphantom{111}5\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}5\hphantom{1}\\[-3mm]\hphantom{11}11\hphantom{1}\\[-3mm]\hphantom{111}3\hphantom{1}\\[-3mm]\hphantom{111}8\hphantom{1}\\[-3mm]\hphantom{11}10\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}5\hphantom{1}\\[-3mm]\hphantom{111}9\hphantom{1}\\[-3mm]\hphantom{11}14\hphantom{1}\\[-3mm]\hphantom{111}6\hphantom{1}\\[-3mm]\hphantom{111}1\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}4\hphantom{1}\\[-3mm]\hphantom{11}12\hphantom{1}\\[-3mm]\hphantom{11}15\hphantom{1}\\[-3mm]\hphantom{11}10\hphantom{1}\\[-3mm]\hphantom{111}1\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}6\hphantom{1}\\[-3mm]\hphantom{11}21\hphantom{1}\\[-3mm]\hphantom{111}2\hphantom{1}\\[-3mm]\hphantom{11}18\hphantom{1}\\[-3mm]\hphantom{111}1\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}10\hphantom{1}\\[-3mm]\hphantom{11}20\hphantom{1}\\[-3mm]\hphantom{111}5\hphantom{1}\\[-3mm]\hphantom{11}26\hphantom{1}\\[-3mm]\hphantom{111}1\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}25\hphantom{1}\\[-3mm]\hphantom{111}4\hphantom{1}\\[-3mm]\hphantom{111}6\hphantom{1}\\[-3mm]\hphantom{11}26\hphantom{1}\\[-3mm]\hphantom{111}2\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}9\hphantom{1}\\[-3mm]\hphantom{11}28\hphantom{1}\\[-3mm]\hphantom{11}33\hphantom{1}\\[-3mm]\hphantom{11}32\hphantom{1}\\[-3mm]\hphantom{11}12\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}1\hphantom{1}\\[-3mm]\hphantom{11}39\hphantom{1}\\[-3mm]\hphantom{11}38\hphantom{1}\\[-3mm]\hphantom{11}30\hphantom{1}\\[-3mm]\hphantom{111}8\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}14\hphantom{1}\\[-3mm]\hphantom{111}7\hphantom{1}\\[-3mm]\hphantom{11}33\hphantom{1}\\[-3mm]\hphantom{11}34\hphantom{1}\\[-3mm]\hphantom{111}2\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}2\hphantom{1}\\[-3mm]\hphantom{11}38\hphantom{1}\\[-3mm]\hphantom{11}44\hphantom{1}\\[-3mm]\hphantom{11}36\hphantom{1}\\[-3mm]\hphantom{111}1\hphantom{1}\end{array}$
$\begin{array}{r}\hphantom{11}11\hphantom{1}\\[-3mm]\hphantom{11}12\hphantom{1}\\[-3mm]\hphantom{11}13\hphantom{1}\\[-3mm]\hphantom{11}14\hphantom{1}\\[-3mm]\hphantom{11}15\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}7\hphantom{1}\\[-3mm]\hphantom{111}6\hphantom{1}\\[-3mm]\ \\[-3mm]\ \\[-3mm]\ \end{array}$$\begin{array}{r}\hphantom{11}13\hphantom{1}\\[-3mm]\hphantom{11}15\hphantom{1}\\[-3mm]\hphantom{11}12\hphantom{1}\\[-3mm]\hphantom{111}3\hphantom{1}\\[-3mm]\hphantom{111}2\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}6\hphantom{1}\\[-3mm]\hphantom{111}3\hphantom{1}\\[-3mm]\hphantom{11}13\hphantom{1}\\[-3mm]\hphantom{11}11\hphantom{1}\\[-3mm]\hphantom{111}7\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}3\hphantom{1}\\[-3mm]\hphantom{11}14\hphantom{1}\\[-3mm]\hphantom{11}12\hphantom{1}\\[-3mm]\hphantom{111}7\hphantom{1}\\[-3mm]\hphantom{11}13\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}23\hphantom{1}\\[-3mm]\hphantom{11}21\hphantom{1}\\[-3mm]\hphantom{111}2\hphantom{1}\\[-3mm]\hphantom{111}3\hphantom{1}\\[-3mm]\hphantom{11}17\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}29\hphantom{1}\\[-3mm]\hphantom{111}7\hphantom{1}\\[-3mm]\hphantom{11}23\hphantom{1}\\[-3mm]\hphantom{11}16\hphantom{1}\\[-3mm]\hphantom{111}3\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}6\hphantom{1}\\[-3mm]\hphantom{11}20\hphantom{1}\\[-3mm]\hphantom{11}13\hphantom{1}\\[-3mm]\hphantom{111}3\hphantom{1}\\[-3mm]\hphantom{11}35\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}3\hphantom{1}\\[-3mm]\hphantom{11}27\hphantom{1}\\[-3mm]\hphantom{11}31\hphantom{1}\\[-3mm]\hphantom{11}25\hphantom{1}\\[-3mm]\hphantom{11}37\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}6\hphantom{1}\\[-3mm]\hphantom{11}11\hphantom{1}\\[-3mm]\hphantom{11}40\hphantom{1}\\[-3mm]\hphantom{111}4\hphantom{1}\\[-3mm]\hphantom{11}22\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}27\hphantom{1}\\[-3mm]\hphantom{11}32\hphantom{1}\\[-3mm]\hphantom{111}3\hphantom{1}\\[-3mm]\hphantom{11}22\hphantom{1}\\[-3mm]\hphantom{11}35\hphantom{1}\end{array}$
$\begin{array}{r}\hphantom{11}16\hphantom{1}\\[-3mm]\hphantom{11}17\hphantom{1}\\[-3mm]\hphantom{11}18\hphantom{1}\\[-3mm]\hphantom{11}19\hphantom{1}\\[-3mm]\hphantom{11}20\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}8\hphantom{1}\\[-3mm]\ \\[-3mm]\ \\[-3mm]\ \\[-3mm]\ \end{array}$$\begin{array}{r}\hphantom{11}14\hphantom{1}\\[-3mm]\hphantom{111}8\hphantom{1}\\[-3mm]\hphantom{111}9\hphantom{1}\\[-3mm]\ \\[-3mm]\ \end{array}$$\begin{array}{r}\hphantom{11}10\hphantom{1}\\[-3mm]\hphantom{11}17\hphantom{1}\\[-3mm]\hphantom{111}4\hphantom{1}\\[-3mm]\hphantom{111}5\hphantom{1}\\[-3mm]\hphantom{111}9\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}16\hphantom{1}\\[-3mm]\hphantom{111}7\hphantom{1}\\[-3mm]\hphantom{111}9\hphantom{1}\\[-3mm]\hphantom{11}15\hphantom{1}\\[-3mm]\hphantom{11}12\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}18\hphantom{1}\\[-3mm]\hphantom{111}1\hphantom{1}\\[-3mm]\hphantom{111}8\hphantom{1}\\[-3mm]\hphantom{11}22\hphantom{1}\\[-3mm]\hphantom{11}14\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}8\hphantom{1}\\[-3mm]\hphantom{111}5\hphantom{1}\\[-3mm]\hphantom{111}7\hphantom{1}\\[-3mm]\hphantom{11}25\hphantom{1}\\[-3mm]\hphantom{11}23\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}24\hphantom{1}\\[-3mm]\hphantom{11}33\hphantom{1}\\[-3mm]\hphantom{11}16\hphantom{1}\\[-3mm]\hphantom{111}9\hphantom{1}\\[-3mm]\hphantom{11}34\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}30\hphantom{1}\\[-3mm]\hphantom{11}16\hphantom{1}\\[-3mm]\hphantom{11}31\hphantom{1}\\[-3mm]\hphantom{11}29\hphantom{1}\\[-3mm]\hphantom{11}41\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}28\hphantom{1}\\[-3mm]\hphantom{11}42\hphantom{1}\\[-3mm]\hphantom{11}20\hphantom{1}\\[-3mm]\hphantom{11}29\hphantom{1}\\[-3mm]\hphantom{11}31\hphantom{1}\end{array}$
$\begin{array}{r}\hphantom{11}21\hphantom{1}\\[-3mm]\hphantom{11}22\hphantom{1}\\[-3mm]\hphantom{11}23\hphantom{1}\\[-3mm]\hphantom{11}24\hphantom{1}\\[-3mm]\hphantom{11}25\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}19\hphantom{1}\\[-3mm]\hphantom{11}11\hphantom{1}\\[-3mm]\ \\[-3mm]\ \\[-3mm]\ \end{array}$$\begin{array}{r}\hphantom{11}19\hphantom{1}\\[-3mm]\hphantom{111}6\hphantom{1}\\[-3mm]\hphantom{11}24\hphantom{1}\\[-3mm]\hphantom{111}4\hphantom{1}\\[-3mm]\hphantom{111}8\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}17\hphantom{1}\\[-3mm]\hphantom{11}11\hphantom{1}\\[-3mm]\hphantom{11}21\hphantom{1}\\[-3mm]\hphantom{11}19\hphantom{1}\\[-3mm]\hphantom{11}10\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}26\hphantom{1}\\[-3mm]\hphantom{11}17\hphantom{1}\\[-3mm]\hphantom{11}21\hphantom{1}\\[-3mm]\hphantom{11}31\hphantom{1}\\[-3mm]\hphantom{111}2\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}14\hphantom{1}\\[-3mm]\hphantom{11}29\hphantom{1}\\[-3mm]\hphantom{11}36\hphantom{1}\\[-3mm]\hphantom{11}13\hphantom{1}\\[-3mm]\hphantom{111}4\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}24\hphantom{1}\\[-3mm]\hphantom{111}3\hphantom{1}\\[-3mm]\hphantom{11}20\hphantom{1}\\[-3mm]\hphantom{111}8\hphantom{1}\\[-3mm]\hphantom{11}10\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}10\hphantom{1}\\[-3mm]\hphantom{11}11\hphantom{1}\\[-3mm]\hphantom{11}39\hphantom{1}\\[-3mm]\hphantom{11}16\hphantom{1}\\[-3mm]\hphantom{11}34\hphantom{1}\end{array}$
$\begin{array}{r}\hphantom{11}26\hphantom{1}\\[-3mm]\hphantom{11}27\hphantom{1}\\[-3mm]\hphantom{11}28\hphantom{1}\\[-3mm]\hphantom{11}29\hphantom{1}\\[-3mm]\hphantom{11}30\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}13\hphantom{1}\\[-3mm]\hphantom{11}25\hphantom{1}\\[-3mm]\hphantom{11}14\hphantom{1}\\[-3mm]\ \\[-3mm]\ \end{array}$$\begin{array}{r}\hphantom{111}5\hphantom{1}\\[-3mm]\hphantom{111}9\hphantom{1}\\[-3mm]\hphantom{11}28\hphantom{1}\\[-3mm]\hphantom{11}27\hphantom{1}\\[-3mm]\hphantom{11}15\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}24\hphantom{1}\\[-3mm]\hphantom{11}30\hphantom{1}\\[-3mm]\hphantom{11}14\hphantom{1}\\[-3mm]\hphantom{11}15\hphantom{1}\\[-3mm]\hphantom{11}10\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}17\hphantom{1}\\[-3mm]\hphantom{111}5\hphantom{1}\\[-3mm]\hphantom{11}11\hphantom{1}\\[-3mm]\hphantom{111}7\hphantom{1}\\[-3mm]\hphantom{11}23\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}37\hphantom{1}\\[-3mm]\hphantom{111}9\hphantom{1}\\[-3mm]\hphantom{111}1\hphantom{1}\\[-3mm]\hphantom{11}25\hphantom{1}\\[-3mm]\hphantom{11}19\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}33\hphantom{1}\\[-3mm]\hphantom{111}8\hphantom{1}\\[-3mm]\hphantom{111}6\hphantom{1}\\[-3mm]\hphantom{11}43\hphantom{1}\\[-3mm]\hphantom{11}19\hphantom{1}\end{array}$
$\begin{array}{r}\hphantom{11}31\hphantom{1}\\[-3mm]\hphantom{11}32\hphantom{1}\\[-3mm]\hphantom{11}33\hphantom{1}\\[-3mm]\hphantom{11}34\hphantom{1}\\[-3mm]\hphantom{11}35\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}27\hphantom{1}\\[-3mm]\hphantom{11}19\hphantom{1}\\[-3mm]\hphantom{111}4\hphantom{1}\\[-3mm]\hphantom{11}16\hphantom{1}\\[-3mm]\hphantom{11}29\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}28\hphantom{1}\\[-3mm]\hphantom{11}10\hphantom{1}\\[-3mm]\hphantom{11}18\hphantom{1}\\[-3mm]\hphantom{11}19\hphantom{1}\\[-3mm]\hphantom{11}21\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}32\hphantom{1}\\[-3mm]\hphantom{11}27\hphantom{1}\\[-3mm]\hphantom{11}23\hphantom{1}\\[-3mm]\hphantom{11}13\hphantom{1}\\[-3mm]\hphantom{11}12\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}5\hphantom{1}\\[-3mm]\hphantom{11}12\hphantom{1}\\[-3mm]\hphantom{11}45\hphantom{1}\\[-3mm]\hphantom{11}26\hphantom{1}\\[-3mm]\hphantom{111}9\hphantom{1}\end{array}$
$\begin{array}{r}\hphantom{11}36\hphantom{1}\\[-3mm]\hphantom{11}37\hphantom{1}\\[-3mm]\hphantom{11}38\hphantom{1}\\[-3mm]\hphantom{11}39\hphantom{1}\\[-3mm]\hphantom{11}40\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}18\hphantom{1}\\[-3mm]\ \\[-3mm]\ \\[-3mm]\ \\[-3mm]\ \end{array}$$\begin{array}{r}\hphantom{111}2\hphantom{1}\\[-3mm]\hphantom{11}32\hphantom{1}\\[-3mm]\hphantom{11}35\hphantom{1}\\[-3mm]\hphantom{111}6\hphantom{1}\\[-3mm]\hphantom{11}20\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}28\hphantom{1}\\[-3mm]\hphantom{11}35\hphantom{1}\\[-3mm]\hphantom{11}26\hphantom{1}\\[-3mm]\hphantom{11}15\hphantom{1}\\[-3mm]\hphantom{11}38\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}4\hphantom{1}\\[-3mm]\hphantom{11}24\hphantom{1}\\[-3mm]\hphantom{11}13\hphantom{1}\\[-3mm]\hphantom{11}21\hphantom{1}\\[-3mm]\hphantom{11}15\hphantom{1}\end{array}$
$\begin{array}{r}\hphantom{11}41\hphantom{1}\\[-3mm]\hphantom{11}42\hphantom{1}\\[-3mm]\hphantom{11}43\hphantom{1}\\[-3mm]\hphantom{11}44\hphantom{1}\\[-3mm]\hphantom{11}45\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}18\hphantom{1}\\[-3mm]\hphantom{11}21\hphantom{1}\\[-3mm]\ \\[-3mm]\ \\[-3mm]\ \end{array}$$\begin{array}{r}\hphantom{11}25\hphantom{1}\\[-3mm]\hphantom{11}40\hphantom{1}\\[-3mm]\hphantom{11}37\hphantom{1}\\[-3mm]\hphantom{11}41\hphantom{1}\\[-3mm]\hphantom{111}7\hphantom{1}\end{array}$
$\begin{array}{r}\hphantom{11}46\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{11}23\hphantom{1}\end{array}$

$2.$ 指 数 表  $\left(\ \text{II}\ \right)$

$\text{mod}.$ は $p=53$ から $p=97$ まで.$r$ は原始根.素数である $\mathrm{N}$ のみの指数を掲げる.
$p$$\begin{array}{r}\hphantom{111}53\hphantom{11}\end{array}$$\begin{array}{r}\hphantom{111}59\hphantom{11}\end{array}$$\begin{array}{r}\hphantom{111}61\hphantom{11}\end{array}$$\begin{array}{r}\hphantom{111}67\hphantom{11}\end{array}$$\begin{array}{r}\hphantom{111}71\hphantom{11}\end{array}$$\begin{array}{r}\hphantom{111}73\hphantom{11}\end{array}$$\begin{array}{r}\hphantom{111}79\hphantom{11}\end{array}$$\begin{array}{r}\hphantom{111}83\hphantom{11}\end{array}$$\begin{array}{r}\hphantom{111}89\hphantom{11}\end{array}$$\begin{array}{r}\hphantom{111}97\hphantom{11}\end{array}$
$r$$\begin{array}{r}\hphantom{111}26\hphantom{11}\end{array}$$\begin{array}{r}\hphantom{111}10\hphantom{11}\end{array}$$\begin{array}{r}\hphantom{111}10\hphantom{11}\end{array}$$\begin{array}{r}\hphantom{111}12\hphantom{11}\end{array}$$\begin{array}{r}\hphantom{111}62\hphantom{11}\end{array}$$\begin{array}{r}\hphantom{1111}5\hphantom{11}\end{array}$$\begin{array}{r}\hphantom{111}29\hphantom{11}\end{array}$$\begin{array}{r}\hphantom{111}50\hphantom{11}\end{array}$$\begin{array}{r}\hphantom{111}30\hphantom{11}\end{array}$$\begin{array}{r}\hphantom{111}10\hphantom{11}\end{array}$
$\begin{array}{r}\ \\[-3mm]\hphantom{111}2\hphantom{1}\\[-3mm]\hphantom{111}3\hphantom{1}\\[-3mm]\hphantom{111}5\hphantom{1}\\[-3mm]\hphantom{111}7\hphantom{1}\\[-3mm]\hphantom{11}11\hphantom{1}\end{array}$$\begin{array}{r}\ \\[-3mm]\hphantom{111}25\hphantom{1}\\[-3mm]\hphantom{1111}9\hphantom{1}\\[-3mm]\hphantom{111}31\hphantom{1}\\[-3mm]\hphantom{111}38\hphantom{1}\\[-3mm]\hphantom{111}46\hphantom{1}\end{array}$$\begin{array}{r}\ \\[-3mm]\hphantom{111}25\hphantom{1}\\[-3mm]\hphantom{111}32\hphantom{1}\\[-3mm]\hphantom{111}34\hphantom{1}\\[-3mm]\hphantom{111}44\hphantom{1}\\[-3mm]\hphantom{111}45\hphantom{1}\end{array}$$\begin{array}{r}\ \\[-3mm]\hphantom{111}47\hphantom{1}\\[-3mm]\hphantom{111}42\hphantom{1}\\[-3mm]\hphantom{111}14\hphantom{1}\\[-3mm]\hphantom{111}23\hphantom{1}\\[-3mm]\hphantom{111}45\hphantom{1}\end{array}$$\begin{array}{r}\ \\[-3mm]\hphantom{111}29\hphantom{1}\\[-3mm]\hphantom{1111}9\hphantom{1}\\[-3mm]\hphantom{111}39\hphantom{1}\\[-3mm]\hphantom{1111}7\hphantom{1}\\[-3mm]\hphantom{111}61\hphantom{1}\end{array}$$\begin{array}{r}\ \\[-3mm]\hphantom{111}58\hphantom{1}\\[-3mm]\hphantom{111}18\hphantom{1}\\[-3mm]\hphantom{111}14\hphantom{1}\\[-3mm]\hphantom{111}33\hphantom{1}\\[-3mm]\hphantom{111}43\hphantom{1}\end{array}$$\begin{array}{r}\ \\[-3mm]\hphantom{1111}8\hphantom{1}\\[-3mm]\hphantom{1111}6\hphantom{1}\\[-3mm]\hphantom{1111}1\hphantom{1}\\[-3mm]\hphantom{111}33\hphantom{1}\\[-3mm]\hphantom{111}55\hphantom{1}\end{array}$$\begin{array}{r}\ \\[-3mm]\hphantom{111}50\hphantom{1}\\[-3mm]\hphantom{111}71\hphantom{1}\\[-3mm]\hphantom{111}34\hphantom{1}\\[-3mm]\hphantom{111}19\hphantom{1}\\[-3mm]\hphantom{111}70\hphantom{1}\end{array}$$\begin{array}{r}\ \\[-3mm]\hphantom{1111}3\hphantom{1}\\[-3mm]\hphantom{111}52\hphantom{1}\\[-3mm]\hphantom{111}81\hphantom{1}\\[-3mm]\hphantom{111}24\hphantom{1}\\[-3mm]\hphantom{111}72\hphantom{1}\end{array}$$\begin{array}{r}\ \\[-3mm]\hphantom{111}72\hphantom{1}\\[-3mm]\hphantom{111}87\hphantom{1}\\[-3mm]\hphantom{111}18\hphantom{1}\\[-3mm]\hphantom{1111}7\hphantom{1}\\[-3mm]\hphantom{1111}4\hphantom{1}\end{array}$$\begin{array}{r}\ \\[-3mm]\hphantom{111}86\hphantom{1}\\[-3mm]\hphantom{1111}2\hphantom{1}\\[-3mm]\hphantom{111}11\hphantom{1}\\[-3mm]\hphantom{111}53\hphantom{1}\\[-3mm]\hphantom{111}82\hphantom{1}\end{array}$
$\begin{array}{r}\hphantom{11}13\hphantom{1}\\[-3mm]\hphantom{11}17\hphantom{1}\\[-3mm]\hphantom{11}19\hphantom{1}\\[-3mm]\hphantom{11}23\hphantom{1}\\[-3mm]\hphantom{11}29\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}28\hphantom{1}\\[-3mm]\hphantom{111}42\hphantom{1}\\[-3mm]\hphantom{111}41\hphantom{1}\\[-3mm]\hphantom{111}39\hphantom{1}\\[-3mm]\hphantom{1111}6\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}23\hphantom{1}\\[-3mm]\hphantom{111}14\hphantom{1}\\[-3mm]\hphantom{111}22\hphantom{1}\\[-3mm]\hphantom{111}27\hphantom{1}\\[-3mm]\hphantom{1111}4\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}20\hphantom{1}\\[-3mm]\hphantom{111}49\hphantom{1}\\[-3mm]\hphantom{111}22\hphantom{1}\\[-3mm]\hphantom{111}39\hphantom{1}\\[-3mm]\hphantom{111}25\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}23\hphantom{1}\\[-3mm]\hphantom{1111}8\hphantom{1}\\[-3mm]\hphantom{111}26\hphantom{1}\\[-3mm]\hphantom{111}20\hphantom{1}\\[-3mm]\hphantom{111}22\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}27\hphantom{1}\\[-3mm]\hphantom{1111}7\hphantom{1}\\[-3mm]\hphantom{111}38\hphantom{1}\\[-3mm]\hphantom{1111}5\hphantom{1}\\[-3mm]\hphantom{1111}4\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}59\hphantom{1}\\[-3mm]\hphantom{111}21\hphantom{1}\\[-3mm]\hphantom{111}62\hphantom{1}\\[-3mm]\hphantom{111}46\hphantom{1}\\[-3mm]\hphantom{111}35\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}74\hphantom{1}\\[-3mm]\hphantom{1111}9\hphantom{1}\\[-3mm]\hphantom{111}10\hphantom{1}\\[-3mm]\hphantom{111}52\hphantom{1}\\[-3mm]\hphantom{1111}1\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}67\hphantom{1}\\[-3mm]\hphantom{1111}4\hphantom{1}\\[-3mm]\hphantom{111}59\hphantom{1}\\[-3mm]\hphantom{111}16\hphantom{1}\\[-3mm]\hphantom{111}36\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}65\hphantom{1}\\[-3mm]\hphantom{111}82\hphantom{1}\\[-3mm]\hphantom{111}53\hphantom{1}\\[-3mm]\hphantom{111}31\hphantom{1}\\[-3mm]\hphantom{111}29\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}83\hphantom{1}\\[-3mm]\hphantom{111}19\hphantom{1}\\[-3mm]\hphantom{111}27\hphantom{1}\\[-3mm]\hphantom{111}79\hphantom{1}\\[-3mm]\hphantom{111}47\hphantom{1}\end{array}$
$\begin{array}{r}\hphantom{11}31\hphantom{1}\\[-3mm]\hphantom{11}37\hphantom{1}\\[-3mm]\hphantom{11}41\hphantom{1}\\[-3mm]\hphantom{11}43\hphantom{1}\\[-3mm]\hphantom{11}47\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}45\hphantom{1}\\[-3mm]\hphantom{111}22\hphantom{1}\\[-3mm]\hphantom{111}33\hphantom{1}\\[-3mm]\hphantom{111}30\hphantom{1}\\[-3mm]\hphantom{1111}8\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{1111}7\hphantom{1}\\[-3mm]\hphantom{111}41\hphantom{1}\\[-3mm]\hphantom{1111}2\hphantom{1}\\[-3mm]\hphantom{111}13\hphantom{1}\\[-3mm]\hphantom{111}53\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}13\hphantom{1}\\[-3mm]\hphantom{111}33\hphantom{1}\\[-3mm]\hphantom{111}18\hphantom{1}\\[-3mm]\hphantom{111}41\hphantom{1}\\[-3mm]\hphantom{111}40\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}43\hphantom{1}\\[-3mm]\hphantom{111}44\hphantom{1}\\[-3mm]\hphantom{111}19\hphantom{1}\\[-3mm]\hphantom{111}63\hphantom{1}\\[-3mm]\hphantom{111}64\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}13\hphantom{1}\\[-3mm]\hphantom{111}30\hphantom{1}\\[-3mm]\hphantom{111}55\hphantom{1}\\[-3mm]\hphantom{111}44\hphantom{1}\\[-3mm]\hphantom{111}17\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}11\hphantom{1}\\[-3mm]\hphantom{111}64\hphantom{1}\\[-3mm]\hphantom{1111}4\hphantom{1}\\[-3mm]\hphantom{111}51\hphantom{1}\\[-3mm]\hphantom{111}31\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}76\hphantom{1}\\[-3mm]\hphantom{111}23\hphantom{1}\\[-3mm]\hphantom{111}21\hphantom{1}\\[-3mm]\hphantom{111}47\hphantom{1}\\[-3mm]\hphantom{111}55\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}32\hphantom{1}\\[-3mm]\hphantom{111}60\hphantom{1}\\[-3mm]\hphantom{111}38\hphantom{1}\\[-3mm]\hphantom{111}49\hphantom{1}\\[-3mm]\hphantom{111}69\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}57\hphantom{1}\\[-3mm]\hphantom{111}77\hphantom{1}\\[-3mm]\hphantom{111}67\hphantom{1}\\[-3mm]\hphantom{111}59\hphantom{1}\\[-3mm]\hphantom{111}34\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}26\hphantom{1}\\[-3mm]\hphantom{111}41\hphantom{1}\\[-3mm]\hphantom{111}71\hphantom{1}\\[-3mm]\hphantom{111}44\hphantom{1}\\[-3mm]\hphantom{111}60\hphantom{1}\end{array}$
$\begin{array}{r}\hphantom{11}53\hphantom{1}\\[-3mm]\hphantom{11}59\hphantom{1}\\[-3mm]\hphantom{11}61\hphantom{1}\\[-3mm]\hphantom{11}67\hphantom{1}\\[-3mm]\hphantom{11}71\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}28\hphantom{1}\\[-3mm]\ \\[-3mm]\ \\[-3mm]\ \\[-3mm]\ \end{array}$$\begin{array}{r}\hphantom{111}51\hphantom{1}\\[-3mm]\hphantom{111}17\hphantom{1}\\[-3mm]\ \\[-3mm]\ \\[-3mm]\ \end{array}$$\begin{array}{r}\hphantom{1111}3\hphantom{1}\\[-3mm]\hphantom{111}54\hphantom{1}\\[-3mm]\hphantom{1111}5\hphantom{1}\\[-3mm]\ \\[-3mm]\ \end{array}$$\begin{array}{r}\hphantom{111}59\hphantom{1}\\[-3mm]\hphantom{111}29\hphantom{1}\\[-3mm]\hphantom{111}37\hphantom{1}\\[-3mm]\hphantom{111}11\hphantom{1}\\[-3mm]\ \end{array}$$\begin{array}{r}\hphantom{111}53\hphantom{1}\\[-3mm]\hphantom{1111}5\hphantom{1}\\[-3mm]\hphantom{111}58\hphantom{1}\\[-3mm]\hphantom{111}50\hphantom{1}\\[-3mm]\hphantom{111}44\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{1111}7\hphantom{1}\\[-3mm]\hphantom{111}17\hphantom{1}\\[-3mm]\hphantom{111}75\hphantom{1}\\[-3mm]\hphantom{111}54\hphantom{1}\\[-3mm]\hphantom{111}33\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}13\hphantom{1}\\[-3mm]\hphantom{111}20\hphantom{1}\\[-3mm]\hphantom{111}34\hphantom{1}\\[-3mm]\hphantom{111}53\hphantom{1}\\[-3mm]\hphantom{111}17\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}10\hphantom{1}\\[-3mm]\hphantom{111}45\hphantom{1}\\[-3mm]\hphantom{111}19\hphantom{1}\\[-3mm]\hphantom{111}32\hphantom{1}\\[-3mm]\hphantom{111}26\hphantom{1}\end{array}$$\begin{array}{r}\hphantom{111}14\hphantom{1}\\[-3mm]\hphantom{111}65\hphantom{1}\\[-3mm]\hphantom{111}32\hphantom{1}\\[-3mm]\hphantom{111}51\hphantom{1}\\[-3mm]\hphantom{111}25\hphantom{1}\end{array}$
$\begin{array}{r}\hphantom{11}73\hphantom{1}\\[-3mm]\hphantom{11}79\hphantom{1}\\[-3mm]\hphantom{11}83\hphantom{1}\\[-3mm]\hphantom{11}89\hphantom{1}\\[-3mm]\ \end{array}$$\begin{array}{r}\hphantom{1111}4\hphantom{1}\\[-3mm]\ \\[-3mm]\ \\[-3mm]\ \\[-3mm]\ \end{array}$$\begin{array}{r}\hphantom{111}43\hphantom{1}\\[-3mm]\hphantom{111}47\hphantom{1}\\[-3mm]\ \\[-3mm]\ \\[-3mm]\ \end{array}$$\begin{array}{r}\hphantom{111}68\hphantom{1}\\[-3mm]\hphantom{111}46\hphantom{1}\\[-3mm]\hphantom{111}27\hphantom{1}\\[-3mm]\ \\[-3mm]\ \end{array}$$\begin{array}{r}\hphantom{111}20\hphantom{1}\\[-3mm]\hphantom{111}42\hphantom{1}\\[-3mm]\hphantom{111}91\hphantom{1}\\[-3mm]\hphantom{111}18\hphantom{1}\\[-3mm]\ \end{array}$

 この表には$\ \!\mathrm{N}$が素数であるときだけの指数を掲げる.任意の$\ \!\mathrm{N}$の指数を求めるには次のようにする.例えば $\text{mod}.\ 97$ に関していえば $60=2^2\hspace{0.7mm}\cdotp3\hspace{0.7mm}\cdotp5$ から,\[\operatorname{Ind}\ \!60=2\operatorname{Ind}\ \!2+\operatorname{Ind}\ \!3+\operatorname{Ind}\ \!5=172+2+11=185\equiv89\hphantom{m}\left(\text{mod}.\ 96\right).\]故に $\operatorname{Ind}\ \!60=89$.指数を知って真数$\ \!\mathrm{N}$を求めるのは,このような表でははなはだめんどうであるが,次のようにすればできる.例えば $\text{mod}.\ 97$ に関して $\operatorname{Ind}\ \!x=50$ とすれば,表から$50$より小でそれに最も近い指数を求めて $\operatorname{Ind}\ \!29=47$ を得る.故に,$\operatorname{Ind}\ \!x=\operatorname{Ind}\ \!29+3=\operatorname{Ind}\ \!29+3\ \!\operatorname{Ind}\ \!10$.したがって $x=29\times1000\equiv94\hphantom{m}\left(\text{mod}.\ 97\right)$.または表から $\operatorname{Ind}\ \!x=50=32+18=\operatorname{Ind}\ \!61+\operatorname{Ind}\ \!89$.したがって $x\equiv61\times89\equiv-61\times8\equiv-488\equiv94$.このような表は実用には適しないが,練習用として掲出する.実用上の計算には Jacobi の表(Canon arithmeticus$65$ 頁参照)を用いねばならない.






$\blacktriangleleft$ $1.$ 素数表  $3.$ 実二次体 $\blacktriangleright$

『初等整数論講義 第 $2$ 版』目次へ


 ページトップへ inserted by FC2 system