Editing Wilson's theorem (section)

==Example==
For each of the values of ''n'' from 2 to 30, the following table shows the number (''n''&thinsp;−&thinsp;1)! and the remainder when (''n''&thinsp;−&thinsp;1)! is divided by ''n''.  (In the notation of [[modular arithmetic]], the remainder when ''m'' is divided by ''n'' is written ''m'' mod ''n''.)
The background color is blue for <span style="background-color:#94DCF2">prime</span> values of ''n'', gold for <span style="background-color:#E6C647">composite</span> values.
{| class="wikitable" style="text-align:right"
|+ Table of factorial and its remainder modulo ''n''
! <math>n</math> !! <math>(n-1)!</math> <br/> {{OEIS|id=A000142}} !! <math>(n-1)!\ \bmod\ n</math> <br/> {{OEIS|id=A061006}}
|- style="background-color:#94DCF2"
| 2 || 1 || 1
|- style="background-color:#94DCF2"
| 3 || 2 || 2
|- style="background-color:#E6C647"
| 4 || 6 || 2
|- style="background-color:#94DCF2"
| 5 || 24 || 4
|- style="background-color:#E6C647"
| 6 || 120 || 0
|- style="background-color:#94DCF2"
| 7 || 720 || 6
|- style="background-color:#E6C647"
| 8 || 5040 || 0
|- style="background-color:#E6C647"
| 9 || 40320 || 0
|- style="background-color:#E6C647"
| 10 || 362880 || 0
|- style="background-color:#94DCF2"
| 11 || 3628800 || 10
|- style="background-color:#E6C647"
| 12 || 39916800 || 0
|- style="background-color:#94DCF2"
| 13 || 479001600 || 12
|- style="background-color:#E6C647"
| 14 || 6227020800 || 0
|- style="background-color:#E6C647"
| 15 || 87178291200 || 0
|- style="background-color:#E6C647"
| 16 || 1307674368000 || 0
|- style="background-color:#94DCF2"
| 17 || 20922789888000 || 16
|- style="background-color:#E6C647"
| 18 || 355687428096000 || 0
|- style="background-color:#94DCF2"
| 19 || 6402373705728000 || 18
|- style="background-color:#E6C647"
| 20 || 121645100408832000 || 0
|- style="background-color:#E6C647"
| 21 || 2432902008176640000 || 0
|- style="background-color:#E6C647"
| 22 || 51090942171709440000 || 0
|- style="background-color:#94DCF2"
| 23 || 1124000727777607680000 || 22
|- style="background-color:#E6C647"
| 24 || 25852016738884976640000 || 0
|- style="background-color:#E6C647"
| 25 || 620448401733239439360000 || 0
|- style="background-color:#E6C647"
| 26 || 15511210043330985984000000 || 0
|- style="background-color:#E6C647"
| 27 || 403291461126605635584000000 || 0
|- style="background-color:#E6C647"
| 28 || 10888869450418352160768000000 || 0
|- style="background-color:#94DCF2"
| 29 || 304888344611713860501504000000 || 28
|- style="background-color:#E6C647"
| 30 || 8841761993739701954543616000000 || 0
|}