Prove that every integer is of the form 6k or 6k±1 or 6k±2 or 6k±3
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Originally Answered: Is every prime number other than 2 and 3 of the form (6k±1)? Every integer can be written in the form of or . It is quite evident that is always divisible by 6, 6n+1 may be prime, will always be divisible by 2, by 3, and by 2. may be prime.
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