Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: WM Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? Date: Fri, 6 Sep 2024 22:40:50 +0200 Organization: A noiseless patient Spider Lines: 13 Message-ID: References: <3d1a8334-deee-45c6-ae03-340cd8551908@att.net> <69325e33-6b9a-4c2f-a0e3-25508d41b114@att.net> <7dfa422db40391861bfc6803c4c1bb4561d1f8b6@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Fri, 06 Sep 2024 22:40:50 +0200 (CEST) Injection-Info: dont-email.me; posting-host="37eea6df7cd50e75c32a35553828111c"; logging-data="1013182"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18KLikpAZH1/pxQmhfSBO4pQzrIMkNtqz0=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:zFUOIjVBt+YN9XNjXTSR08w4Fgk= Content-Language: en-US In-Reply-To: <7dfa422db40391861bfc6803c4c1bb4561d1f8b6@i2pn2.org> Bytes: 1766 On 06.09.2024 14:38, joes wrote: > Am Fri, 06 Sep 2024 14:12:29 +0200 schrieb WM: >>> 0 < ... < ⅟⌊4+⅟x⌋ < ⅟⌊3+⅟x⌋ < ⅟⌊2+⅟x⌋ < ⅟⌊1+⅟x⌋ < x >> 0 is smaller than all that. Therefore there is no increase at 0. >> x is larger than all that. Therefore your x is not the least one >> posiible. > Therefore no x can be the least unit fraction. No definable x. No epsilon. Regards, WM