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Path: ...!news.mixmin.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Moebius <invalid@example.invalid> Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? Date: Mon, 9 Sep 2024 21:25:06 +0200 Organization: A noiseless patient Spider Lines: 17 Message-ID: <vbni2i$2h5hr$3@dont-email.me> References: <vb4rde$22fb4$2@solani.org> <7e1e3f62-1fba-4484-8e34-6ff8f1e54625@att.net> <vbabbm$24a94$1@solani.org> <06ee7920-eff2-4687-be98-67a89b301c93@att.net> <38ypmjbnu3EfnKYR4tSIu-WavbA@jntp> <34e11216-439f-4b11-bdff-1a252ac98f8f@att.net> <vbd56i$fqa0$1@dont-email.me> <vbdbq3$gdoe$2@dont-email.me> <vbes57$qdqo$2@dont-email.me> <27b3b5e088d82d4475c68a64f50a4bccac9c6f29@i2pn2.org> <vbesjo$27gfe$1@solani.org> <vbf0s9$qp1j$3@dont-email.me> <vbfpf5$utdu$2@dont-email.me> <vbh5qe$19a45$1@dont-email.me> <vbhdf6$1btm1$1@dont-email.me> <vbhdsh$1btm1$2@dont-email.me> <vbhj65$1bi3k$3@dont-email.me> <9eeba8a5041ce7ee48e5019d9e98d4ea38a1eb72@i2pn2.org> <vbhkmo$1bi3l$8@dont-email.me> <89ed6d8de6c20d65e869d384181b642309f63bc4@i2pn2.org> <vbkv1r$20uoi$4@dont-email.me> <7a991922c09e309450ac278f884091dfe716cae3@i2pn2.org> <vbmij2$2ce0a$4@dont-email.me> <20d29fc87d2bab70a7a7c18a3f79b093a4c2b647@i2pn2.org> <vbn322$2em19$1@dont-email.me> <0c8b8cc706aae1ac1f735f60ecc76b5df3f9d5a9@i2pn2.org> Reply-To: invalid@example.invalid MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Mon, 09 Sep 2024 21:25:07 +0200 (CEST) Injection-Info: dont-email.me; posting-host="08c9a2b7e7a7b16f619a598c25c8174f"; logging-data="2659899"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18B9AvJV9MU80QQqpErevW8" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:BN0MT4GSv7VnLhUQQHfTadaz2I8= Content-Language: de-DE In-Reply-To: <0c8b8cc706aae1ac1f735f60ecc76b5df3f9d5a9@i2pn2.org> Bytes: 2584 Am 09.09.2024 um 18:02 schrieb joes: > Am Mon, 09 Sep 2024 17:08:49 +0200 schrieb WM: >> On 09.09.2024 13:49, joes wrote: >>> Am Mon, 09 Sep 2024 12:27:47 +0200 schrieb WM: >> [Such] an interval has a length that can be expressed by a real number: >> 1/n - 1/(n+1) = x . >> Then the interval (0, x) contains not all unit fractions, for instance >> not 1/n. Ein Moment geistiger Klarheit, Mückenheim? On th eother hand: > But still infinitely many, since only finitely many are missing. Right.