diff options
| author | Gloria Mundi <gloria@gloria-mundi.eu> | 2024-06-05 20:04:08 +0200 |
|---|---|---|
| committer | Gloria Mundi <gloria@gloria-mundi.eu> | 2024-06-05 20:04:08 +0200 |
| commit | c3f898531a1a9cf8b1078a70ef7ddfabc4eb6cf8 (patch) | |
| tree | 0b5b1fd4d661a08f394b9e941a4a2e95cc597348 | |
| parent | de5584da1968cb83dca379ce6480ec7b2ab57732 (diff) | |
remove divisors of highly composite numbers, add primes below each power of 10
| -rw-r--r-- | math/tables/prime-composite.tex | 42 |
1 files changed, 21 insertions, 21 deletions
diff --git a/math/tables/prime-composite.tex b/math/tables/prime-composite.tex index d969747..d2b02e5 100644 --- a/math/tables/prime-composite.tex +++ b/math/tables/prime-composite.tex @@ -1,26 +1,26 @@ -\begin{tabularx}{\linewidth}{|r|r|r|r|CICICICICICICICICICICIC|} +\begin{tabularx}{\linewidth}{|R|R|R|RIR|} \hline - \multicolumn{16}{|c|}{Primes and Highly Composite Numbers} \\ + \multicolumn{5}{|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 \\ + $10^x$ & Next Prime & Primes Below & Highly Composite & Divisors \\ \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 \\ + 1 & +1 & 4 & 6 & 4 \\ + 2 & +1 & 25 & 60 & 12 \\ + 3 & +9 & 168 & 840 & 32 \\ + 4 & +7 & 1229 & 7560 & 64 \\ + 5 & +3 & 9592 & 83160 & 128 \\ + 6 & +3 & 78498 & 720720 & 240 \\ + 7 & +19 & 664579 & 8648640 & 448 \\ + 8 & +7 & 5761455 & 73513440 & 768 \\ + 9 & +7 & 50847534 & 735134400 & 1344 \\ + 10 & +19 & 455052511 & 6983776800 & 2304 \\ + 11 & +3 & 4118054813 & 97772875200 & 4032 \\ + 12 & +39 & \multirow{7}={$$\approx \frac{0.43 \cdot 10^x}{x}$$} & 963761198400 & 6720 \\ + 13 & +37 & & 9316358251200 & 10752 \\ + 14 & +31 & & 97821761637600 & 17280 \\ + 15 & +37 & & 866421317361600 & 26880 \\ + 16 & +61 & & 8086598962041600 & 41472 \\ + 17 & +3 & & 74801040398884800 & 64512 \\ + 18 & +3 & & 897612484786617600 & 103680 \\ \hline \end{tabularx} |