Update README.md

1 files changed, 59 insertions, 35 deletions

diff --git a/challenge-169/james-smith/README.md b/challenge-169/james-smith/README.md
index 4be886eb18..67ec30184d 100644
--- a/challenge-169/james-smith/README.md
+++ b/challenge-169/james-smith/README.md
@@ -97,42 +97,7 @@ The output in each row is the brilliant number and the two primes which are it's
       50:        713 =    23 x 31
 ```
 
-For large `n` we have:
 
-```
-   100:             21,600 = 2^5 . 3^3 . 5^2
-   200:             66,248 = 2^3 . 7^2 . 13^2
-   300:            136,107 = 3^3 . 71^2
-   400:            225,000 = 2^3 . 3^2 . 5^5
-   500:            333,396 = 2^2 . 3^5 . 7^3
-   600:            464,648 = 2^3 . 241^2
-   700:            617,400 = 2^3 . 3^2 . 5^2 . 7^3
-   800:            784,000 = 2^7 . 5^3 . 7^2
-   900:            969,624 = 2^3 . 3^3 . 67^2
-  1000:          1,179,648 = 2^17 . 3^2
-  2000:          4,255,443 = 3^3 . 397^2
-  3000:          9,082,800 = 2^4 . 3^3 . 5^2 . 29^2
-  4000:         15,635,232 = 2^5 . 3^2 . 233^2
-  5000:         23,876,179 = 19^3 . 59^2
-  6000:         33,818,428 = 2^2 . 7^3 . 157^2
-  7000:         45,489,708 = 2^2 . 3^3 . 11^2 . 59^2
-  8000:         58,752,800 = 2^5 . 5^2 . 271^2
-  9000:         73,641,248 = 2^5 . 37^2 . 41^2
- 10000:         90,209,312 = 2^5 . 23^2 . 73^2
- 20000:        344,478,752 = 2^5 . 17^2 . 193^2
- 30000:        758,595,456 = 2^7 . 3^5 . 29^3
- 40000:      1,330,259,301 = 3^3 . 7^3 . 379^2
- 50000:      2,057,748,300 = 2^2 . 3^7 . 5^2 . 97^2
- 60000:      2,941,077,600 = 2^5 . 3^7 . 5^2 . 41^2
- 70000:      3,978,593,667 = 3^3 . 61^2 . 199^2
- 80000:      5,171,352,984 = 2^3 . 3^5 . 7^2 . 233^2
- 90000:      6,518,604,456 = 2^3 . 3^2 . 7^2 . 13^3 . 29^2
-100000:      8,017,975,944 = 2^3 . 3^3 . 11^3 . 167^2
-150000:     17,810,638,848 = 2^11 . 3^2 . 983^2
-200000:     31,413,171,744 = 2^5 . 3^2 . 17^3 . 149^2
-250000:     48,804,377,888 = 2^5 . 7^4 . 797^2
-300000:     69,976,609,587 = 3^3 . 50909^2
-```
 ### Removing pretty print
 
 If we remove the pretty print this reduces to:
@@ -226,8 +191,67 @@ The following are the first 50 achilles numbers.
     49:            6912 = 2^8 . 3^3
     50:            7200 = 2^5 . 3^2 . 5^2
 ```
+
+Some examples for larger values of `n` are:
+
+| Index        | Value                | Factors                                                      |
+| -----------: | -------------------: | ------------------------------------------------------------ |
+|          100 |               21,600 | 2<sup>5</sup>.3<sup>3</sup>.5<sup>2</sup>                    |
+|          200 |               66,248 | 2<sup>3</sup>.7<sup>2</sup>.13<sup>2</sup>                   |
+|          300 |              136,107 | 3<sup>3</sup>.71<sup>2</sup>                                 |
+|          400 |              225,000 | 2<sup>3</sup>.3<sup>2</sup>.5<sup>5</sup>                    |
+|          500 |              333,396 | 2<sup>2</sup>.3<sup>5</sup>.7<sup>3</sup>                    |
+|          600 |              464,648 | 2<sup>3</sup>.241<sup>2</sup>                                |
+|          700 |              617,400 | 2<sup>3</sup>.3<sup>2</sup>.5<sup>2</sup>.7<sup>3</sup>      |
+|          800 |              784,000 | 2<sup>7</sup>.5<sup>3</sup>.7<sup>2</sup>                    |
+|          900 |              969,624 | 2<sup>3</sup>.3<sup>3</sup>.67<sup>2</sup>                   |
+|        1,000 |            1,179,648 | 2<sup>17</sup>.3<sup>2</sup>                                 |
+|        2,000 |            4,255,443 | 3<sup>3</sup>.397<sup>2</sup>                                |
+|        3,000 |            9,082,800 | 2<sup>4</sup>.3<sup>3</sup>.5<sup>2</sup>.29<sup>2</sup>     |
+|        4,000 |           15,635,232 | 2<sup>5</sup>.3<sup>2</sup>.233<sup>2</sup>                  |
+|        5,000 |           23,876,179 | 19<sup>3</sup>.59<sup>2</sup>                                |
+|        6,000 |           33,818,428 | 2<sup>2</sup>.7<sup>3</sup>.157<sup>2</sup>                  |
+|        7,000 |           45,489,708 | 2<sup>2</sup>.3<sup>3</sup>.11<sup>2</sup>.59<sup>2</sup>    |
+|        8,000 |           58,752,800 | 2<sup>5</sup>.5<sup>2</sup>.271<sup>2</sup>                  |
+|        9,000 |           73,641,248 | 2<sup>5</sup>.37<sup>2</sup>.41<sup>2</sup>                  |
+|       10,000 |           90,209,312 | 2<sup>5</sup>.23<sup>2</sup>.73<sup>2</sup>                  |
+|       20,000 |          344,478,752 | 2<sup>5</sup>.17<sup>2</sup>.193<sup>2</sup>                 |
+|       30,000 |          758,595,456 | 2<sup>7</sup>.3<sup>5</sup>.29<sup>3</sup>                   |
+|       40,000 |        1,330,259,301 | 3<sup>3</sup>.7<sup>3</sup>.379<sup>2</sup>                  |
+|       50,000 |        2,057,748,300 | 2<sup>2</sup>.3<sup>7</sup>.5<sup>2</sup>.97<sup>2</sup>     |
+|       60,000 |        2,941,077,600 | 2<sup>5</sup>.3<sup>7</sup>.5<sup>2</sup>.41<sup>2</sup>     |
+|       70,000 |        3,978,593,667 | 3<sup>3</sup>.61<sup>2</sup>.199<sup>2</sup>                 |
+|       80,000 |        5,171,352,984 | 2<sup>3</sup>.3<sup>5</sup>.7<sup>2</sup>.233<sup>2</sup>    |
+|       90,000 |        6,518,604,456 | 2<sup>3</sup>.3<sup>2</sup>.7<sup>2</sup>.13<sup>3</sup>.29<sup>2</sup> |
+|      100,000 |        8,017,975,944 | 2<sup>3</sup>.3<sup>3</sup>.11<sup>3</sup>.167<sup>2</sup>   |
+|      125,000 |       12,437,566,904 | 2<sup>3</sup>.7<sup>3</sup>.2129<sup>2</sup>                 |
+|      150,000 |       17,810,638,848 | 2<sup>11</sup>.3<sup>2</sup>.983<sup>2</sup>                 |
+|      175,000 |       24,140,196,992 | 2<sup>7</sup>.31<sup>2</sup>.443<sup>2</sup>                 |
+|      200,000 |       31,413,171,744 | 2<sup>5</sup>.3<sup>2</sup>.17<sup>3</sup>.149<sup>2</sup>   |
+|      225,000 |       39,636,156,125 | 5<sup>3</sup>.17807<sup>2</sup>                              |
+|      250,000 |       48,804,377,888 | 2<sup>5</sup>.7<sup>4</sup>.797<sup>2</sup>                  |
+|      275,000 |       58,919,206,088 | 2<sup>3</sup>.85819<sup>2</sup>                              |
+|      300,000 |       69,976,609,587 | 3<sup>3</sup>.50909<sup>2</sup>                              |
+|      325,000 |       81,981,196,443 | 3<sup>3</sup>.55103<sup>2</sup>                              |
+
+And these are the first numbers with `n` digits...
+
+| Index        | Value                | Factors                                                      |
+| -----------: | -------------------: | ------------------------------------------------------------ |
+|            1 |                   72 | 2<sup>3</sup>.3<sup>2</sup>                                  |
+|            2 |                  108 | 2<sup>2</sup>.3<sup>3</sup>                                  |
+|           14 |                1,125 | 3<sup>2</sup>.5<sup>3</sup>                                  |
+|           61 |               10,125 | 3<sup>4</sup>.5<sup>3</sup>                                  |
+|          253 |              100,352 | 2<sup>11</sup>.7<sup>2</sup>                                 |
+|          917 |            1,000,188 | 2<sup>2</sup>.3<sup>6</sup>.7<sup>3</sup>                    |
+|        3,159 |           10,011,125 | 5<sup>3</sup>.283<sup>2</sup>                                |
+|       10,554 |          100,018,800 | 2<sup>4</sup>.3<sup>6</sup>.5<sup>2</sup>.7<sup>3</sup>      |
+|       34,562 |        1,000,042,200 | 2<sup>3</sup>.3<sup>6</sup>.5<sup>2</sup>.19<sup>3</sup>     |
+|      111,892 |       10,000,373,888 | 2<sup>7</sup>.8839<sup>2</sup>                               |
+
 ### Removing pretty print
 
+
 If we remove the pretty print this reduces to:
 
 ```perl