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diff --git a/content/math/tables/prime-composite.tex b/content/math/tables/prime-composite.tex new file mode 100644 index 0000000..073b4ba --- /dev/null +++ b/content/math/tables/prime-composite.tex @@ -0,0 +1,31 @@ +\begin{expandtable} +\begin{tabularx}{\linewidth}{|r|rIr|rIr|r|r|} + \hline + \multirow{2}{*}{$10^x$} + & \multirow{2}{*}{Highly Composite} + & \multirow{2}{*}{\# Divs} + & \multicolumn{2}{|c|}{Prime} + & \multirow{2}{*}{\# Primes} & \multirow{2}{*}{Primorial} \\ + & & & $<$ & $>$ & & \\ + \hline + 1 & 6 & 4 & $-3$ & $+1$ & 4 & 2 \\ + 2 & 60 & 12 & $-3$ & $+1$ & 25 & 3 \\ + 3 & 840 & 32 & $-3$ & $+9$ & 168 & 4 \\ + 4 & 7\,560 & 64 & $-27$ & $+7$ & 1\,229 & 5 \\ + 5 & 83\,160 & 128 & $-9$ & $+3$ & 9\,592 & 6 \\ + 6 & 720\,720 & 240 & $-17$ & $+3$ & 78\,498 & 7 \\ + 7 & 8\,648\,640 & 448 & $-9$ & $+19$ & 664\,579 & 8 \\ + 8 & 73\,513\,440 & 768 & $-11$ & $+7$ & 5\,761\,455 & 8 \\ + 9 & 735\,134\,400 & 1\,344 & $-63$ & $+7$ & 50\,847\,534 & 9 \\ + 10 & 6\,983\,776\,800 & 2\,304 & $-33$ & $+19$ & 455\,052\,511 & 10 \\ + 11 & 97\,772\,875\,200 & 4\,032 & $-23$ & $+3$ & 4\,118\,054\,813 & 10 \\ + 12 & 963\,761\,198\,400 & 6\,720 & $-11$ & $+39$ & 37\,607\,912\,018 & 11 \\ + 13 & 9\,316\,358\,251\,200 & 10\,752 & $-29$ & $+37$ & 346\,065\,536\,839 & 12 \\ + 14 & 97\,821\,761\,637\,600 & 17\,280 & $-27$ & $+31$ & 3\,204\,941\,750\,802 & 12 \\ + 15 & 866\,421\,317\,361\,600 & 26\,880 & $-11$ & $+37$ & 29\,844\,570\,422\,669 & 13 \\ + 16 & 8\,086\,598\,962\,041\,600 & 41\,472 & $-63$ & $+61$ & 279\,238\,341\,033\,925 & 13 \\ + 17 & 74\,801\,040\,398\,884\,800 & 64\,512 & $-3$ & $+3$ & 2\,623\,557\,157\,654\,233 & 14 \\ + 18 & 897\,612\,484\,786\,617\,600 & 103\,680 & $-11$ & $+3$ & 24\,739\,954\,287\,740\,860 & 16 \\ + \hline +\end{tabularx} +\end{expandtable} |