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let n be divisible by 3
then next numbers to n which are divisible by 3
= n+3. ,. n+6 , n+9 ...
therefore n+2 and n+4 are not divisible by 3
if we think n+2 is divisible by 3
then it's previous numbers divisible by 3 are
n+2-3 = n-1 , n+2-6 =n-4 ....
and next numbers divisible by 3 are
n +2 +3 = n+5 , n+2+6 = n+8
so , n or n+4 are not divisible by 3 if n+2 is ...
in the same way we can show if n+4 is divisible by 3 then others two not divisible by 3
then next numbers to n which are divisible by 3
= n+3. ,. n+6 , n+9 ...
therefore n+2 and n+4 are not divisible by 3
if we think n+2 is divisible by 3
then it's previous numbers divisible by 3 are
n+2-3 = n-1 , n+2-6 =n-4 ....
and next numbers divisible by 3 are
n +2 +3 = n+5 , n+2+6 = n+8
so , n or n+4 are not divisible by 3 if n+2 is ...
in the same way we can show if n+4 is divisible by 3 then others two not divisible by 3
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