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From: Moebius <invalid@example.invalid>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Tue, 10 Sep 2024 02:36:51 +0200
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Am 10.09.2024 um 02:32 schrieb Moebius:
> Am 10.09.2024 um 01:08 schrieb Chris M. Thomasson:
> 
>> Take the gap between:
>>
>> 1/1 and 1/2. There are infinitely many unit fractions that are small 
>> enough to fit within that gap.
> 
> Oh, really?! Could you name (just) o n e? :-)
> 
> I mean ... a unit fraction u such that 1/2 < u < 1/1. :-o

Hint, you see... 1/3 < 1/2 < 1/1. Actually, for each and every k e IN 
with k > 2: 1/k < 1/2 < 1/1.