a set of integers that have a common difference of one.
example: 6,7,8...or -2,-3,-4,-5...
You can also think of them as integers that follow one another. In the example above, 7 follows 8 etc. This is not as precise as the first definition, but perhaps it is more intuitive.
Integers where one of them is just one larger than the other.
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consecutive integers
There are two consecutive even integers. The numbers are 118 and 120.
There are no two consecutive integers, negative or positive, whose product is 440.
The integers are -37, -36 and -35. Also, using consecutive even integers: -38, -36 and -34.
201