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Objective

Write a program that prints out a multiplication table of the first 10 prime numbers. The program must run from the command line and print one table to STDOUT. The first row and column of the table should have the 10 primes, with each cell containing the product of the primes for the corresponding row and column.

Additionally, your solution should include tests, and we'd like to see these tests run in CI/CD. Gitlab or TravisCI are options here.

Notes

  • Please use either Ruby, Javascript/Typescript, or Python
  • Consider complexity. How fast does your code run? How does it scale?
  • Consider cases where we want N primes.
  • Do not use any prime generators that might exist in your language of choice. Write your own.
  • However, you may use an external library to format the output.

Running

With 10 prime numbers (default)

$ ruby bin/run.rb
+----+----+----+-----+-----+-----+-----+-----+-----+-----+-----+
|               Multiplication Table (10 primes)               |
+----+----+----+-----+-----+-----+-----+-----+-----+-----+-----+
| *  | 2  | 3  | 5   | 7   | 11  | 13  | 17  | 19  | 23  | 29  |
+----+----+----+-----+-----+-----+-----+-----+-----+-----+-----+
| 2  | 4  | 6  | 10  | 14  | 22  | 26  | 34  | 38  | 46  | 58  |
+----+----+----+-----+-----+-----+-----+-----+-----+-----+-----+
| 3  | 6  | 9  | 15  | 21  | 33  | 39  | 51  | 57  | 69  | 87  |
+----+----+----+-----+-----+-----+-----+-----+-----+-----+-----+
| 5  | 10 | 15 | 25  | 35  | 55  | 65  | 85  | 95  | 115 | 145 |
+----+----+----+-----+-----+-----+-----+-----+-----+-----+-----+
| 7  | 14 | 21 | 35  | 49  | 77  | 91  | 119 | 133 | 161 | 203 |
+----+----+----+-----+-----+-----+-----+-----+-----+-----+-----+
| 11 | 22 | 33 | 55  | 77  | 121 | 143 | 187 | 209 | 253 | 319 |
+----+----+----+-----+-----+-----+-----+-----+-----+-----+-----+
| 13 | 26 | 39 | 65  | 91  | 143 | 169 | 221 | 247 | 299 | 377 |
+----+----+----+-----+-----+-----+-----+-----+-----+-----+-----+
| 17 | 34 | 51 | 85  | 119 | 187 | 221 | 289 | 323 | 391 | 493 |
+----+----+----+-----+-----+-----+-----+-----+-----+-----+-----+
| 19 | 38 | 57 | 95  | 133 | 209 | 247 | 323 | 361 | 437 | 551 |
+----+----+----+-----+-----+-----+-----+-----+-----+-----+-----+
| 23 | 46 | 69 | 115 | 161 | 253 | 299 | 391 | 437 | 529 | 667 |
+----+----+----+-----+-----+-----+-----+-----+-----+-----+-----+
| 29 | 58 | 87 | 145 | 203 | 319 | 377 | 493 | 551 | 667 | 841 |
+----+----+----+-----+-----+-----+-----+-----+-----+-----+-----+

With N prime numbers

$ ruby bin/run.rb 5
+-----+-----+-----+----+----+-----+
| Multiplication Table (5 primes) |
+-----+-----+-----+----+----+-----+
| *   | 2   | 3   | 5  | 7  | 11  |
+-----+-----+-----+----+----+-----+
| 2   | 4   | 6   | 10 | 14 | 22  |
+-----+-----+-----+----+----+-----+
| 3   | 6   | 9   | 15 | 21 | 33  |
+-----+-----+-----+----+----+-----+
| 5   | 10  | 15  | 25 | 35 | 55  |
+-----+-----+-----+----+----+-----+
| 7   | 14  | 21  | 35 | 49 | 77  |
+-----+-----+-----+----+----+-----+
| 11  | 22  | 33  | 55 | 77 | 121 |
+-----+-----+-----+----+----+-----+
$ ruby bin/run.rb 15
+----+----+-----+-----+-----+-----+-----+-----+-----+------+------+------+------+------+------+------+
|                                  Multiplication Table (15 primes)                                  |
+----+----+-----+-----+-----+-----+-----+-----+-----+------+------+------+------+------+------+------+
| *  | 2  | 3   | 5   | 7   | 11  | 13  | 17  | 19  | 23   | 29   | 31   | 37   | 41   | 43   | 47   |
+----+----+-----+-----+-----+-----+-----+-----+-----+------+------+------+------+------+------+------+
| 2  | 4  | 6   | 10  | 14  | 22  | 26  | 34  | 38  | 46   | 58   | 62   | 74   | 82   | 86   | 94   |
+----+----+-----+-----+-----+-----+-----+-----+-----+------+------+------+------+------+------+------+
| 3  | 6  | 9   | 15  | 21  | 33  | 39  | 51  | 57  | 69   | 87   | 93   | 111  | 123  | 129  | 141  |
+----+----+-----+-----+-----+-----+-----+-----+-----+------+------+------+------+------+------+------+
| 5  | 10 | 15  | 25  | 35  | 55  | 65  | 85  | 95  | 115  | 145  | 155  | 185  | 205  | 215  | 235  |
+----+----+-----+-----+-----+-----+-----+-----+-----+------+------+------+------+------+------+------+
| 7  | 14 | 21  | 35  | 49  | 77  | 91  | 119 | 133 | 161  | 203  | 217  | 259  | 287  | 301  | 329  |
+----+----+-----+-----+-----+-----+-----+-----+-----+------+------+------+------+------+------+------+
| 11 | 22 | 33  | 55  | 77  | 121 | 143 | 187 | 209 | 253  | 319  | 341  | 407  | 451  | 473  | 517  |
+----+----+-----+-----+-----+-----+-----+-----+-----+------+------+------+------+------+------+------+
| 13 | 26 | 39  | 65  | 91  | 143 | 169 | 221 | 247 | 299  | 377  | 403  | 481  | 533  | 559  | 611  |
+----+----+-----+-----+-----+-----+-----+-----+-----+------+------+------+------+------+------+------+
| 17 | 34 | 51  | 85  | 119 | 187 | 221 | 289 | 323 | 391  | 493  | 527  | 629  | 697  | 731  | 799  |
+----+----+-----+-----+-----+-----+-----+-----+-----+------+------+------+------+------+------+------+
| 19 | 38 | 57  | 95  | 133 | 209 | 247 | 323 | 361 | 437  | 551  | 589  | 703  | 779  | 817  | 893  |
+----+----+-----+-----+-----+-----+-----+-----+-----+------+------+------+------+------+------+------+
| 23 | 46 | 69  | 115 | 161 | 253 | 299 | 391 | 437 | 529  | 667  | 713  | 851  | 943  | 989  | 1081 |
+----+----+-----+-----+-----+-----+-----+-----+-----+------+------+------+------+------+------+------+
| 29 | 58 | 87  | 145 | 203 | 319 | 377 | 493 | 551 | 667  | 841  | 899  | 1073 | 1189 | 1247 | 1363 |
+----+----+-----+-----+-----+-----+-----+-----+-----+------+------+------+------+------+------+------+
| 31 | 62 | 93  | 155 | 217 | 341 | 403 | 527 | 589 | 713  | 899  | 961  | 1147 | 1271 | 1333 | 1457 |
+----+----+-----+-----+-----+-----+-----+-----+-----+------+------+------+------+------+------+------+
| 37 | 74 | 111 | 185 | 259 | 407 | 481 | 629 | 703 | 851  | 1073 | 1147 | 1369 | 1517 | 1591 | 1739 |
+----+----+-----+-----+-----+-----+-----+-----+-----+------+------+------+------+------+------+------+
| 41 | 82 | 123 | 205 | 287 | 451 | 533 | 697 | 779 | 943  | 1189 | 1271 | 1517 | 1681 | 1763 | 1927 |
+----+----+-----+-----+-----+-----+-----+-----+-----+------+------+------+------+------+------+------+
| 43 | 86 | 129 | 215 | 301 | 473 | 559 | 731 | 817 | 989  | 1247 | 1333 | 1591 | 1763 | 1849 | 2021 |
+----+----+-----+-----+-----+-----+-----+-----+-----+------+------+------+------+------+------+------+
| 47 | 94 | 141 | 235 | 329 | 517 | 611 | 799 | 893 | 1081 | 1363 | 1457 | 1739 | 1927 | 2021 | 2209 |
+----+----+-----+-----+-----+-----+-----+-----+-----+------+------+------+------+------+------+------+

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