Show that for any n in positive integers with n 3 at least

Show that for any n in positive integers with n > 3, at least one of the three numbers n, n+2, n+4 is compositite

Solution

Compositite number is a whole number that can be divided evenly by other than numbers by 1 or itself.

Example : let n =9

9 can be divided evenly by 3(as well as 1 and 9) so 9 is a compositite number.

for n= 4 , n+2 = 6, n+4 = 8

4, 6, 8 are copositite numbers.