summaryrefslogtreecommitdiff
path: root/content/math/tables/prime-composite.tex
blob: b8adadfeb7b7e0aab3bb93f1fc7cd1734249390b (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
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} &  \# Prime \\
	       &                              &          &       $<$ &       $>$ &                             &   Factors \\
	\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 &        15 \\
	\hline
\end{tabularx}
\end{expandtable}