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diff --git a/math/tables/prime-composite.tex b/math/tables/prime-composite.tex new file mode 100644 index 0000000..d969747 --- /dev/null +++ b/math/tables/prime-composite.tex @@ -0,0 +1,26 @@ +\begin{tabularx}{\linewidth}{|r|r|r|r|CICICICICICICICICICICIC|} + \hline + \multicolumn{16}{|c|}{Primes and Highly Composite Numbers} \\ + \hline + $10^x$ & Next Prime & Highly Composite & Divisors & 2 & 3 & 5 & 7 & 11 & 13 & 17 & 19 & 23 & 29 & 31 & 37 \\ + \hline + 1 & +1 & 6 & 4 & 1 & 1 & & & & & & & & & & \\ + 2 & +1 & 60 & 12 & 2 & 1 & 1 & & & & & & & & & \\ + 3 & +9 & 840 & 32 & 3 & 1 & 1 & 1 & & & & & & & &\\ + 4 & +7 & 7560 & 64 & 3 & 3 & 1 & 1 & & & & & & & & \\ + 5 & +3 & 83160 & 128 & 3 & 3 & 1 & 1 & 1 & & & & & & & \\ + 6 & +3 & 720720 & 240 & 4 & 2 & 1 & 1 & 1 & 1 & & & & & & \\ + 7 & +19 & 8648640 & 448 & 6 & 3 & 1 & 1 & 1 & 1 & & & & & & \\ + 8 & +7 & 73513440 & 768 & 5 & 3 & 1 & 1 & 1 & 1 & 1 & & & & & \\ + 9 & +7 & 735134400 & 1344 & 6 & 3 & 2 & 1 & 1 & 1 & 1 & & & & & \\ + 10 & +19 & 6983776800 & 2304 & 5 & 3 & 2 & 1 & 1 & 1 & 1 & 1 & & & & \\ + 11 & +3 & 97772875200 & 4032 & 6 & 3 & 2 & 2 & 1 & 1 & 1 & 1 & & & & \\ + 12 & +39 & 963761198400 & 6720 & 6 & 4 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & & & \\ + 13 & +37 & 9316358251200 & 10752 & 6 & 3 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & & \\ + 14 & +31 & 97821761637600 & 17280 & 5 & 4 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & & \\ + 15 & +37 & 866421317361600 & 26880 & 6 & 4 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \\ + 16 & +61 & 8086598962041600 & 41472 & 8 & 3 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \\ + 17 & +3 & 74801040398884800 & 64512 & 6 & 3 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 \\ + 18 & +3 & 897612484786617600 & 103680 & 8 & 4 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 \\ + \hline +\end{tabularx} |