Definition:Prime Number/Table

Table of Tau Function
The prime numbers smaller than $1000$ are tabulated as follows.

In the following, $\map p n$ denotes the $n$th prime number.


 * $\begin{array} {|r|r|}

n & \map p n \\ \hline 1 & 2 \\ 2 & 3 \\ 3 & 5 \\ 4 & 7 \\ 5 & 11 \\ 6 & 13 \\ 7 & 17 \\ 8 & 19 \\ 9 & 23 \\ 10 & 29 \\ 11 & 31 \\ 12 & 37 \\ 13 & 41 \\ 14 & 43 \\ 15 & 47 \\ 16 & 53 \\ 17 & 59 \\ 18 & 61 \\ 19 & 67 \\ 20 & 71 \\ \end{array} \qquad \begin{array} {|r|r|} n & \map p n \\ \hline 21 & 73 \\ 22 & 79 \\ 23 & 83 \\ 24 & 89 \\ 25 & 97 \\ 26 & 101 \\ 27 & 103 \\ 28 & 107 \\ 29 & 109 \\ 30 & 113 \\ 31 & 127 \\ 32 & 131 \\ 33 & 137 \\ 34 & 139 \\ 35 & 149 \\ 36 & 151 \\ 37 & 157 \\ 38 & 163 \\ 39 & 167 \\ 40 & 173 \\ \end{array} \qquad \begin{array} {|r|r|} n & \map p n \\ \hline 41 & 179 \\ 42 & 181 \\ 43 & 191 \\ 44 & 193 \\ 45 & 197 \\ 46 & 199 \\ 47 & 211 \\ 48 & 223 \\ 49 & 227 \\ 50 & 229 \\ 51 & 233 \\ 52 & 239 \\ 53 & 241 \\ 54 & 251 \\ 55 & 257 \\ 56 & 263 \\ 57 & 269 \\ 58 & 271 \\ 59 & 277 \\ 60 & 281 \\ \end{array} \qquad \begin{array} {|r|r|} n & \map p n \\ \hline 61 & 283 \\ 62 & 293 \\ 63 & 307 \\ 64 & 311 \\ 65 & 313 \\ 66 & 317 \\ 67 & 331 \\ 68 & 337 \\ 69 & 347 \\ 70 & 349 \\ 71 & 353 \\ 72 & 359 \\ 73 & 367 \\ 74 & 373 \\ 75 & 379 \\ 76 & 383 \\ 77 & 389 \\ 78 & 397 \\ 79 & 401 \\ 80 & 409 \\ \end{array} \qquad \begin{array} {|r|r|} n & \map p n \\ \hline 81 & 419 \\ 82 & 421 \\ 83 & 431 \\ 84 & 433 \\ 85 & 439 \\ 86 & 443 \\ 87 & 449 \\ 88 & 457 \\ 89 & 461 \\ 90 & 463 \\ 91 & 467 \\ 92 & 479 \\ 93 & 487 \\ 94 & 491 \\ 95 & 499 \\ 96 & 503 \\ 97 & 509 \\ 98 & 521 \\ 99 & 523 \\ 100 & 541 \\ \end{array} \qquad \begin{array} {|r|r|} n & \map p n \\ \hline 101 & 547 \\ 102 & 557 \\ 103 & 563 \\ 104 & 569 \\ 105 & 571 \\ 106 & 577 \\ 107 & 587 \\ 108 & 593 \\ 109 & 599 \\ 110 & 601 \\ 111 & 607 \\ 112 & 613 \\ 113 & 617 \\ 114 & 619 \\ 115 & 631 \\ 116 & 641 \\ 117 & 643 \\ 118 & 647 \\ 119 & 653 \\ 120 & 659 \\ \end{array} \qquad \begin{array} {|r|r|} n & \map p n \\ \hline 121 & 661 \\ 122 & 673 \\ 123 & 677 \\ 124 & 683 \\ 125 & 691 \\ 126 & 701 \\ 127 & 709 \\ 128 & 719 \\ 129 & 727 \\ 130 & 733 \\ 131 & 739 \\ 132 & 743 \\ 133 & 751 \\ 134 & 757 \\ 135 & 761 \\ 136 & 769 \\ 137 & 773 \\ 138 & 787 \\ 139 & 797 \\ 140 & 809 \\ \end{array} \qquad \begin{array} {|r|r|} n & \map p n \\ \hline 141 & 811 \\ 142 & 821 \\ 143 & 823 \\ 144 & 827 \\ 145 & 829 \\ 146 & 839 \\ 147 & 853 \\ 148 & 857 \\ 149 & 859 \\ 150 & 863 \\ 151 & 877 \\ 152 & 881 \\ 153 & 883 \\ 154 & 887 \\ 155 & 907 \\ 156 & 911 \\ 157 & 919 \\ 158 & 929 \\ 159 & 937 \\ 160 & 941 \\ \end{array} \qquad \begin{array} {|r|r|} n & \map p n \\ \hline 161 & 947 \\ 162 & 953 \\ 163 & 967 \\ 164 & 971 \\ 165 & 977 \\ 166 & 983 \\ 167 & 991 \\ 168 & 997 \\ \end{array}$