Re: How many different unit fractions are lessorequal than all unit fractions?

On 04.10.2024 11:00, joes wrote:

Am Thu, 03 Oct 2024 20:34:20 +0200 schrieb WM:

On 03.10.2024 01:03, Richard Damon wrote:

On 10/2/24 7:57 AM, WM wrote:

>

Of course all gaps between unit fractions are made of more than
finitely many points. I never denied that.

But that also means that no point are "next to" each other.

Therefore NUF can increase at most by 1 at every real point.

Try to learn the basics and to understand ∀n ∈ ℕ: 1/n - 1/(n+1) > 0.

Which means that for all n that are in the Natural numbers, for the
unit fraction  1/n, theree DOES EXIST another unit fraction 1/(n+1)
that is smaller than it.

That is true for all visible and most dark numbers but not for all.

What is the distance between the last natural and its successor?

Unknown.