Fun problem from today

Jan 06, 2006 19:48

Correct answers will stay screened for a little while, solve this:

Given two prime numbers p1 and p2 (> 5) whose difference is 2, prove that their average is divisible by 6

Some example prime numbers in this set include:

5 & 7
11 & 13
17 & 19
41 & 43

Have fun. :-)

UPDATE 2006-01-08:
I have unscreened the correct answers.
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