If n is one integer, then the consecutive integer to it is n+1, and the next is n+2 and so on.
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They are called just that: "consecutive numbers".They are called just that: "consecutive numbers".They are called just that: "consecutive numbers".They are called just that: "consecutive numbers".
That doesn't work. The number has to be divisible by three. Any three consecutive numbers add up to a multiple of three.
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The numbers 2 and 3 are consecutive prime numbers. Are there other pairs of prime numbers which are consecutive numbers?
There are no two consecutive odd numbers.