From a3c9198048cf465a3c01827b3667edfc99d8031c Mon Sep 17 00:00:00 2001
From: MZuenni <michi.zuendorf@gmail.com>
Date: Fri, 28 Jun 2024 13:45:57 +0200
Subject: update highly composite table

---
 math/tables/composite.tex | 42 +++++++++++++++++++++---------------------
 1 file changed, 21 insertions(+), 21 deletions(-)

(limited to 'math/tables/composite.tex')

diff --git a/math/tables/composite.tex b/math/tables/composite.tex
index b4c8294..b8f5428 100644
--- a/math/tables/composite.tex
+++ b/math/tables/composite.tex
@@ -1,26 +1,26 @@
-\begin{tabularx}{\linewidth}{|r|r|r|CICICICICICICICICICICIC|}
+\begin{tabularx}{\linewidth}{|r||r|r||r|}
 	\hline
-	\multicolumn{15}{|c|}{Highly Composite Numbers} \\
+	\multicolumn{4}{|c|}{Important Numbers} \\
 	\hline
-	$10^x$ & Zahl & Teiler & 2 & 3 & 5 & 7 & 11 & 13 & 17 & 19 & 23 & 29 & 31 & 37 \\
+	$10^x$ &          Highly Composite &      Divs &         Prime \\
 	\hline
-	1 & 6 & 4 & 1 & 1 & & & & & & & & & & \\
-	2 & 60 & 12 & 2 & 1 & 1 & & & & & & & & & \\
-	3 & 840 & 32 & 3 & 1 & 1 & 1 & & & & & & & &\\
-	4 & 7560 & 64 & 3 & 3 & 1 & 1 & & & & & & & & \\
-	5 & 83160 & 128 & 3 & 3 & 1 & 1 & 1 & & & & & & & \\
-	6 & 720720 & 240 & 4 & 2 & 1 & 1 & 1 & 1 & & & & & & \\
-	7 & 8648640 & 448 & 6 & 3 & 1 & 1 & 1 & 1 & & & & & & \\
-	8 & 73513440 & 768 & 5 & 3 & 1 & 1 & 1 & 1 & 1 & & & & & \\
-	9 & 735134400 & 1344 & 6 & 3 & 2 & 1 & 1 & 1 & 1 & & & & & \\
-	10 & 6983776800 & 2304 & 5 & 3 & 2 & 1 & 1 & 1 & 1 & 1 & & & & \\
-	11 & 97772875200 & 4032 & 6 & 3 & 2 & 2 & 1 & 1 & 1 & 1 & & & & \\
-	12 & 963761198400 & 6720 & 6 & 4 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & & & \\
-	13 & 9316358251200 & 10752 & 6 & 3 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & & \\
-	14 & 97821761637600 & 17280 & 5 & 4 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & & \\
-	15 & 866421317361600 & 26880 & 6 & 4 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \\
-	16 & 8086598962041600 & 41472 & 8 & 3 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \\
-	17 & 74801040398884800 & 64512 & 6 & 3 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 \\
-	18 & 897612484786617600 & 103680 & 8 & 4 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 \\
+	   $1$ &                       $6$ &       $4$ &  $10^{1}-~~3$ \\
+	   $2$ &                      $60$ &      $12$ &  $10^{2}-~~3$ \\
+	   $3$ &                     $840$ &      $32$ &  $10^{3}-~~3$ \\
+	   $4$ &                   $7~560$ &      $64$ &  $10^{4}- 27$ \\
+	   $5$ &                  $83~160$ &     $128$ &  $10^{5}-~~9$ \\
+	   $6$ &                 $720~720$ &     $240$ &  $10^{6}- 17$ \\
+	   $7$ &               $8~648~640$ &     $448$ &  $10^{7}-~~9$ \\
+	   $8$ &              $73~513~440$ &     $768$ &  $10^{8}- 11$ \\
+	   $9$ &             $735~134~400$ &   $1~344$ &  $10^{9}- 63$ \\
+	  $10$ &           $6~983~776~800$ &   $2~304$ & $10^{10}- 33$ \\
+	  $11$ &          $97~772~875~200$ &   $4~032$ & $10^{11}- 23$ \\
+	  $12$ &         $963~761~198~400$ &   $6~720$ & $10^{12}- 11$ \\
+	  $13$ &       $9~316~358~251~200$ &  $10~752$ & $10^{13}- 29$ \\
+	  $14$ &      $97~821~761~637~600$ &  $17~280$ & $10^{14}- 27$ \\
+	  $15$ &     $866~421~317~361~600$ &  $26~880$ & $10^{15}- 11$ \\
+	  $16$ &   $8~086~598~962~041~600$ &  $41~472$ & $10^{16}- 63$ \\
+	  $17$ &  $74~801~040~398~884~800$ &  $64~512$ & $10^{17}-~~3$ \\
+	  $18$ & $897~612~484~786~617~600$ & $103~680$ & $10^{18}- 11$ \\
 	\hline
 \end{tabularx}
-- 
cgit v1.2.3

