summaryrefslogtreecommitdiff
path: root/math/tables
diff options
context:
space:
mode:
authorMZuenni <michi.zuendorf@gmail.com>2024-06-28 13:47:18 +0200
committerMZuenni <michi.zuendorf@gmail.com>2024-06-28 13:47:18 +0200
commit65d2ac37862ce9d1de208a05099c281863e66256 (patch)
treed1fe1ece8790e8e8b2a8bcd3895f82477b3a0e2b /math/tables
parenta3c9198048cf465a3c01827b3667edfc99d8031c (diff)
parent366ff0a4ba0c94f5cdc2cbd4e2c991ad0b544522 (diff)
merge
Diffstat (limited to 'math/tables')
-rw-r--r--math/tables/composite.tex43
1 files changed, 22 insertions, 21 deletions
diff --git a/math/tables/composite.tex b/math/tables/composite.tex
index b8f5428..8e14b2e 100644
--- a/math/tables/composite.tex
+++ b/math/tables/composite.tex
@@ -1,26 +1,27 @@
-\begin{tabularx}{\linewidth}{|r||r|r||r|}
+
+\begin{tabularx}{\linewidth}{|r||r|r||r|r|r||C|}
\hline
- \multicolumn{4}{|c|}{Important Numbers} \\
+ \multicolumn{7}{|c|}{Important Numbers} \\
\hline
- $10^x$ & Highly Composite & Divs & Prime \\
+ $10^x$ & Highly Composite & \# Divs & $<$ Prime & $>$ Prime & \# Primes & \\
\hline
- $1$ & $6$ & $4$ & $10^{1}-~~3$ \\
- $2$ & $60$ & $12$ & $10^{2}-~~3$ \\
- $3$ & $840$ & $32$ & $10^{3}-~~3$ \\
- $4$ & $7~560$ & $64$ & $10^{4}- 27$ \\
- $5$ & $83~160$ & $128$ & $10^{5}-~~9$ \\
- $6$ & $720~720$ & $240$ & $10^{6}- 17$ \\
- $7$ & $8~648~640$ & $448$ & $10^{7}-~~9$ \\
- $8$ & $73~513~440$ & $768$ & $10^{8}- 11$ \\
- $9$ & $735~134~400$ & $1~344$ & $10^{9}- 63$ \\
- $10$ & $6~983~776~800$ & $2~304$ & $10^{10}- 33$ \\
- $11$ & $97~772~875~200$ & $4~032$ & $10^{11}- 23$ \\
- $12$ & $963~761~198~400$ & $6~720$ & $10^{12}- 11$ \\
- $13$ & $9~316~358~251~200$ & $10~752$ & $10^{13}- 29$ \\
- $14$ & $97~821~761~637~600$ & $17~280$ & $10^{14}- 27$ \\
- $15$ & $866~421~317~361~600$ & $26~880$ & $10^{15}- 11$ \\
- $16$ & $8~086~598~962~041~600$ & $41~472$ & $10^{16}- 63$ \\
- $17$ & $74~801~040~398~884~800$ & $64~512$ & $10^{17}-~~3$ \\
- $18$ & $897~612~484~786~617~600$ & $103~680$ & $10^{18}- 11$ \\
+ 1 & 6 & 4 & $-3$ & $+1$ & 4 & \\
+ 2 & 60 & 12 & $-3$ & $+1$ & 25 & \\
+ 3 & 840 & 32 & $-3$ & $+9$ & 168 & \\
+ 4 & 7\,560 & 64 & $-27$ & $+7$ & 1\,229 & \\
+ 5 & 83\,160 & 128 & $-9$ & $+3$ & 9\,592 & \\
+ 6 & 720\,720 & 240 & $-17$ & $+3$ & 78\,498 & \\
+ 7 & 8\,648\,640 & 448 & $-9$ & $+19$ & 664\,579 & \\
+ 8 & 73\,513\,440 & 768 & $-11$ & $+7$ & 5\,761\,455 & \\
+ 9 & 735\,134\,400 & 1\,344 & $-63$ & $+7$ & 50\,847\,534 & \\
+ 10 & 6\,983\,776\,800 & 2\,304 & $-33$ & $+19$ & 455\,052\,511 & \\
+ 11 & 97\,772\,875\,200 & 4\,032 & $-23$ & $+3$ & 4\,118\,054\,813 & \\
+ 12 & 963\,761\,198\,400 & 6\,720 & $-11$ & $+39$ & 37\,607\,912\,018 & \\
+ 13 & 9\,316\,358\,251\,200 & 10\,752 & $-29$ & $+37$ & 346\,065\,536\,839 & \\
+ 14 & 97\,821\,761\,637\,600 & 17\,280 & $-27$ & $+31$ & 3\,204\,941\,750\,802 & \\
+ 15 & 866\,421\,317\,361\,600 & 26\,880 & $-11$ & $+37$ & 29\,844\,570\,422\,669 & \\
+ 16 & 8\,086\,598\,962\,041\,600 & 41\,472 & $-63$ & $+61$ & 279\,238\,341\,033\,925 & \\
+ 17 & 74\,801\,040\,398\,884\,800 & 64\,512 & $-3$ & $+3$ & 2\,623\,557\,157\,654\,233 & \\
+ 18 & 897\,612\,484\,786\,617\,600 & 103\,680 & $-11$ & $+3$ & 24\,739\,954\,287\,740\,860 & \\
\hline
\end{tabularx}