Pattern To Prime Numbers Discovered

I've discovered proof that Prime Numbers repeatedly occur next to multiples of 6. If you don't believe me look for yourself. The Prime Numbers are the numbers not in brackets.

 

5 (6) 7,
11 (12) 13,
17 (18) 19,
23 (24)

 

29 (30) 31,

 

(36) 37,

 

41 (42) 43,

 

47 (48)
53, (54)
59,  ( 60)  61,
(66) 67

71 (72) 73

 

As you can see, the Prime Numbers seem to always be next to multiples of 6.