Since it is commonly known that if an integer is not divisible by 3, then or , does it mean that if an integer is not divisible by 11, then or or or …or for some integer ?

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- March 1st 2010, 10:13 AMnoviceDivisibility
Since it is commonly known that if an integer is not divisible by 3, then or , does it mean that if an integer is not divisible by 11, then or or or …or for some integer ?

- March 1st 2010, 11:55 AMhatsoff
Yes. You may read about the division algorithm to understand why this must be the case.