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

On 9/10/2024 11:35 AM, Chris M. Thomasson wrote:

On 9/9/2024 5:32 PM, Moebius wrote:

Am 10.09.2024 um 01:08 schrieb Chris M. Thomasson:
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Take the gap between:
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1/1 and 1/2. There are infinitely many unit fractions that are small enough to fit within that gap.

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Oh, really?! Could you name (just) o n e? :-)

 1/4?

1/4 is between 1/1 and 1/2:
1/1---->1/4---->1/2
So, its not _strict_ but it does exist... Fair enough? Or crank shit all the way down? It seems that any non-zero gap can have unit fractions small enough to fit in it...

 

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I mean ... a unit fraction u such that 1/2 < u < 1/1. :-o