Page:Joseph Louis de Lagrange - Œuvres, Tome 3.djvu/771

TABLE VI.

Formule des nombres proposés $\ldots t^{2}-au^{2}.$

Formule des non-diviseurs $\ldots \ldots \ \ 4an+b,$

${\begin{array}{|c|c|}\hline \\\scriptstyle {\mathrm {VALEURS\ DE} }&\ \qquad \qquad \scriptstyle {\mathrm {VALEURS\ CORRESPONDANTES\ DE} }\,\ \qquad \qquad \\a&b\end{array}}$

${\begin{array}{|l|}&{\begin{array}{c|l}\hline \\\ \ \quad 1\quad \ \ &\\2&\quad \,\pm 3\\3&\quad \,\pm 5\\5&\quad \,\pm 3,\pm 7\\6&\quad \,\pm 7,\pm 11\\7&\quad \,\pm 5,\pm 11,\pm 13\\10&\quad \,\pm 7,\pm 11,\pm 17,\pm 19\\11&\quad \,\pm 3,\pm 13,\pm 15,\pm 17,\pm 21\\13&\quad \,\pm 5,\pm 7,\pm 11,\pm 15,\pm 19,\pm 21\\14&\quad \,\pm 3,\pm 15,\pm 17,\pm 19,\pm 23,\pm 27\\15&\quad \,\pm 13,\pm 19,\pm 23,\pm 29\\17&\quad \,\pm 3,\pm 5,\pm 11,\pm 23,\pm 27,\pm 29,\pm 31\\19&\quad \,\pm 7,\pm 11,\pm 13,\pm 21,\pm 23,\pm 29,\pm 33,\pm 35,\pm 37\\21&\quad \,\pm 11,\pm 13,\pm 19,\pm 23,\pm 29,\pm 31\end{array}}\\&{\begin{array}{cl|l}\quad 22\ \ \,&\left\{{\begin{array}{l}&\pm 5,\pm 15,\pm 17,\pm 19,\pm 23,\pm 31,\pm 35,\pm 37\\&\quad \ \ \pm 41,\pm 43\end{array}}\right.\\\end{array}}\\&{\begin{array}{cl|l}\quad 23\ \ \,&\left\{{\begin{array}{l}&\pm 3,\pm 5,\pm 17,\pm 21,\pm 27,\pm 31,\pm 33,\pm 35,\pm 37\\&\quad \ \ \pm 39,\pm 45\end{array}}\right.\\\end{array}}\\&{\begin{array}{cl|l}\quad 26\ \ \,&\left\{{\begin{array}{l}&\pm 3,\pm 7,\pm 15,\pm 27,\pm 29,\pm 31,\pm 33,\pm 35,\pm 41,\\&\quad \ \ \pm 43,\pm 47,\pm 51\end{array}}\right.\\\end{array}}\\&{\begin{array}{cl|l}\quad 29\ \ \,&\left\{{\begin{array}{l}&\pm 3,\pm 11,\pm 15,\pm 17,\pm 19,\pm 21,\pm 27,\pm 31,\pm 37,\\&\quad \ \ \pm 39,\pm 41,\pm 43,\pm 47,\pm 55\end{array}}\right.\\\end{array}}\\&{\begin{array}{c|l}\quad 30\quad \ \ &\quad \,\pm 11,\pm 23,\pm 31,\pm 41,\pm 43,\pm 47,\pm 53,\pm 59\\\\\end{array}}\\\hline \end{array}}$