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Re: Some results about unit fractions

Newsgroups sci.logic
Date 2023-06-20 08:34 -0700
References (15 earlier) <875y7op8fs.fsf@bsb.me.uk> <68c1f04f-7191-4f5c-9875-09f9773799ban@googlegroups.com> <87v8flmv8m.fsf@bsb.me.uk> <e16c9184-71a6-4ddc-b73d-5697a017e453n@googlegroups.com> <87pm5rhsz1.fsf@bsb.me.uk>
Message-ID <adc4db77-1d1d-4705-83f2-3e375405351an@googlegroups.com> (permalink)
Subject Re: Some results about unit fractions
From WM <askasker48@gmail.com>

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Ben Bacarisse schrieb am Dienstag, 20. Juni 2023 um 02:34:29 UTC+2:
> WM <askas...@gmail.com> writes: 
> (AKA Dr. Wolfgang Mückenheim or Mueckenheim who teaches "Geschichte des 
> Unendlichen" at Hochschule Augsburg.)
> The context:
> >> >> >> > Can you imagine two terms of an inclusion-monotonic sequence (M_n): 
> >> >> >> > M(n) ⊇ M(n+1) which have no element in common? 
> >> >> >> Yes, M(k) = {} for all k in N.
> Your claim:
> >> >> > By the way, one empty set would be sufficient. 
> >> >> Example? 
> >> > 
> >> > The intersection of endsegments. 
> > 
> >> You can't give an example, can you? I thought not. In case you feel you 
> >> should try again, what you claimed was "an inclusion-monotonic sequence 
> >> (M_n): M(n) ⊇ M(n+1) which have no element in common" like mine but 
> >> where "one empty set would be sufficient". Go on... 
> > 
> > There is the simple axiom of inclusion monotony which I use for my derivation: 
> > A sequence whose terms (except the first one) are subsets of their 
> > immediate predecessors, has only terms the elements of which are in 
> > all predecessors.
> So, no, you can't give an example of what you claimed. Hint: it will 
> look like mine -- and infinite sequence of sets. It will have M(n) ⊇ 
> M(n+1) and, as per your claim, it will have only one empty set. 

Endsegments are an example for strict subsets: M(n+1) c M(n). Most term are dark.

Regards, WM

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Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-11 06:47 -0700
  Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-11 10:24 -0700
    Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-11 11:37 -0700
      Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-11 11:53 -0700
        Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-11 13:24 -0700
          Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-11 15:21 -0700
            Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-11 15:38 -0700
              Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-12 11:52 -0700
            Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-12 11:52 -0700
              Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-12 13:16 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-12 14:03 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-12 14:45 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-13 07:20 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-13 07:35 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-13 14:02 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-13 14:50 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-13 20:12 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-12 14:48 -0700
  Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-11 15:11 -0400
    Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-11 13:28 -0700
      Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-11 17:12 -0400
        Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-12 11:52 -0700
          Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-13 13:25 -0400
            Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-13 14:07 -0700
              Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-13 20:11 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-14 04:55 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-14 05:58 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-14 11:30 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-14 12:55 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-15 04:53 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-15 13:22 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-15 05:40 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-16 01:17 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-16 06:32 -0700
                Re: Some results about unit fractions Python <python@invalid.org> - 2023-06-16 16:27 +0200
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-18 02:09 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-18 07:15 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-20 01:34 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-20 08:34 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-20 10:09 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-20 10:18 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-21 07:17 -0700
                Re: Some results about unit fractions Python <python@invalid.org> - 2023-06-21 16:52 +0200
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-22 05:48 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-22 13:20 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-22 00:51 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-22 05:58 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-23 01:05 +0100
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-22 17:17 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-23 02:26 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-23 09:01 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-26 01:59 +0100
                Re: Some results about unit fractions JVR <jrennenkampff@googlemail.com> - 2023-06-26 04:42 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-26 14:42 +0100
                Re: Some results about unit fractions JVR <jrennenkampff@googlemail.com> - 2023-06-26 15:22 -0700
                Re: Some results about unit fractions Python <python@invalid.org> - 2023-06-27 01:14 +0200
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-26 08:12 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-26 07:59 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-23 08:53 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-23 09:52 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-26 02:05 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-26 08:05 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-29 01:34 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-29 05:31 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-29 16:37 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-30 10:18 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-30 10:21 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-30 13:52 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-29 19:15 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-30 14:27 +0100
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-30 10:03 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-30 10:06 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-30 10:09 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-30 10:15 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-30 10:21 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-30 10:26 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-07-02 02:05 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 09:04 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-02 09:56 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-30 16:47 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-30 10:15 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-30 10:20 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-07-02 02:13 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 08:59 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-02 09:34 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-02 09:55 -0700
                Re: Some results about unit fractions Python <python@invalid.org> - 2023-07-02 19:10 +0200
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-30 13:01 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-30 10:27 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-30 14:14 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-30 11:49 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-30 20:30 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-01 10:26 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-01 16:18 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-30 17:37 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-01 12:55 -0400
                Re: Some results about unit fractions Transfinity <transfinity01@gmail.com> - 2023-07-01 10:32 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-01 15:42 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 08:17 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-01 13:00 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-01 16:24 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-01 14:05 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-01 14:28 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-01 17:30 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-01 14:44 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-01 18:49 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-01 17:07 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-02 06:20 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-02 04:04 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 08:39 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 08:33 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 08:27 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-07-02 01:50 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 08:50 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 08:19 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-01 12:58 -0400
                Re: Some results about unit fractions Transfinity <transfinity01@gmail.com> - 2023-07-01 11:16 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-01 15:16 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-02 08:14 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-02 18:44 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-07-03 06:31 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-03 11:32 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-03 09:50 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-03 10:07 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-15 06:01 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-15 09:26 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-15 09:52 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-15 10:59 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-15 12:40 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-16 06:07 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-16 06:22 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-16 06:41 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-16 08:54 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-16 12:37 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-17 05:54 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-17 08:46 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-18 06:57 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-17 11:56 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-18 06:59 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-18 14:40 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-19 07:01 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-19 07:34 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-20 08:30 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-20 10:30 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-19 13:55 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-20 08:36 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-20 10:24 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-20 14:03 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-21 07:22 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-21 12:26 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-22 05:54 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-22 09:38 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-23 08:44 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-23 12:37 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-23 09:53 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-23 15:39 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-24 05:43 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-24 10:22 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-25 07:07 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-25 10:58 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-26 07:47 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-26 08:35 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-26 13:23 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-28 07:22 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-28 07:38 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-28 07:57 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-28 07:38 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-28 09:11 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-28 09:23 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-29 05:12 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-29 08:05 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-28 12:39 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-29 05:20 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-29 11:24 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-30 09:58 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-30 10:06 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-30 13:38 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-30 11:44 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-07-01 05:04 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-16 08:53 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-15 17:06 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-16 06:18 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-16 06:53 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-17 08:10 -0700
                Re: Some results about unit fractions Python <python@invalid.org> - 2023-06-17 17:17 +0200
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-17 08:30 -0700
                Re: Some results about unit fractions Python <python@invalid.org> - 2023-06-17 17:33 +0200
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-16 06:25 -0700
              Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-14 08:03 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-14 10:58 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-14 18:30 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-15 04:51 -0700

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