A good single word or shorter phrase for "ascending numbers with no gaps" [closed]

What's a good word/phrase for that concept? By ascending with no gaps, I mean something like:

3, 4, 5, 6, 7

In other words, every number after the first, n₀, can be defined as n_x = n_x-1 + 1, x > 0.

Obviously there are gaps before the first and after the last but I don't care about those.

Solution 1:

From the example in the question, I'm assuming that "ascending numbers with no gaps" refers to whole numbers (or integers).

So the term you're after would be consecutive integers. That is, a sequence of whole numbers that follow each other in order with a difference of 1 between every two numbers.

Solution 2:

Consecutive:

following one after another in a continuous series

[Oxford Learners Dictionary]
Web. Accessed 5/26/2021.

In math, [consecutive] numbers follow each other continuously in the order from smallest to largest. You can also use "sequence," since in math 1,2,3,4,5 is a sequence.