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Re: Some results about unit fractions

From Python <python@invalid.org>
Newsgroups sci.logic
Subject Re: Some results about unit fractions
Date 2023-05-26 13:58 +0200
Organization A noiseless patient Spider
Message-ID <u4q6tm$3vbrg$2@dont-email.me> (permalink)
References (13 earlier) <71fc8b40-6dfe-4234-a517-2132b264f76en@googlegroups.com> <06ef099b-8408-1cea-cd7b-8704812243c7@att.net> <4c77d04a-ff3d-4581-bfe0-5714bf826c74n@googlegroups.com> <738fab86-80bb-8fc8-989c-0a639edb5a8e@att.net> <30ea2144-47d6-4c8d-b771-50ee6c8e784an@googlegroups.com>

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Le 26/05/2023 à 13:50, WM a écrit :
> Jim Burns schrieb am Donnerstag, 25. Mai 2023 um 23:56:12 UTC+2:
>> On 5/25/2023 4:18 PM, WM wrote:
>>> Jim Burns schrieb am Donnerstag,
>>> 25. Mai 2023 um 19:33:18 UTC+2:
>>>> On 5/25/2023 9:00 AM, WM wrote:
>>
>>>>> It says that
>>>>> there are only x in the interval which
>>>>> have NUF(x) = ℵo.
>>>>
>>>> Yes.
>>>
>>> This is wrong because
>>> the ℵo unit fractions belong to the interval.
>> "belong to the interval"?
> 
> ℵo unit fractions are in the interval (0, 1].
> 
>>> They have internal gaps,
>>> one of which is the first.
>> No.
>> A first gap not-exists.
> 
> Then no gap exists.
>>
>> | Assume otherwise.
>> | Assume (0,⅟ℒ) is the first gap
>> | and ⅟ℒ is the smallest unit fraction.
> 
> It is dark and therefore not subject to your argument.

As a a matter of fact, Crank Professor Mückenheim, from Hochschule
Augsburg (shame ! shame ! shame !) you are using "dark" as meaning
"nothing can be said about".

It is a obvious contradictory concept.

Because if \exists x s.t. x is dark, then "x exists" cannot be
said about x, by definition.

Now, Crank Professor Mückenheim, apologize to your victims
(students), give back the money you earnt to the German
Government and/or Länder and jump in the Baltic sea with
a stone hanged at your neck. Danke.

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Thread

Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-12 15:37 -0400
  Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-13 06:22 -0700
    Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-13 14:30 -0400
      Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-13 11:41 -0700
        Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-13 23:24 -0400
          Re: Some results about unit fractions JVR <jrennenkampff@googlemail.com> - 2023-05-14 02:20 -0700
      Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-14 14:04 -0700
        Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-14 14:44 -0700
          Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-15 03:29 -0700
            Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-15 05:59 -0700
            Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-15 10:15 -0700
              Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-15 13:49 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-15 17:14 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-16 08:03 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-16 09:33 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-16 11:11 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-16 12:08 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-18 08:39 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-18 12:23 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-18 12:33 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-18 12:41 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-18 12:47 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-18 12:53 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-18 12:59 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-18 13:02 -0700
            Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-15 10:24 -0700
              Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-15 13:50 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-15 17:16 -0700
    Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-05-13 15:44 -0700
      Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-14 14:09 -0700
    Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-13 19:41 -0400
      Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-13 23:41 -0400
      Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-14 14:11 -0700
        Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-14 18:17 -0400
          Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-14 16:16 -0700
            Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-14 20:48 -0400
          Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-15 03:28 -0700
            Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-15 10:08 -0400
              Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-15 13:46 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-15 18:59 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-16 07:31 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-16 09:32 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-16 11:08 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-16 12:01 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-17 05:44 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-17 08:17 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-17 05:53 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-17 14:48 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-18 12:20 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-18 12:52 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-19 05:43 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-19 08:56 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-18 17:02 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-19 05:40 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-19 08:51 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-19 09:54 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-19 10:42 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-19 11:26 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-19 12:09 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-19 13:47 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-19 11:36 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-19 12:06 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-19 12:19 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-19 12:50 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-19 13:16 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-20 09:36 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-20 09:39 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-20 09:43 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-19 20:36 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-20 09:20 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-20 09:38 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-20 09:42 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-05-20 23:40 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-21 01:56 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-21 02:00 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-20 17:55 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-22 06:51 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-22 07:02 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-22 10:05 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-22 10:19 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-22 11:01 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-22 11:56 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-22 12:30 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-22 13:27 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-23 10:56 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-23 11:13 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-24 07:44 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-23 14:45 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-24 07:33 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-05-24 17:46 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-25 05:56 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-05-26 02:11 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-26 04:44 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-05-27 01:39 +0100
                Re: Some results about unit fractions JVR <jrennenkampff@googlemail.com> - 2023-05-26 23:51 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-27 10:19 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-27 10:58 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-27 13:22 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-05-30 02:24 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-30 06:52 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-01 01:28 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-01 07:24 -0700
                Re: Some results about unit fractions Python <python@invalid.org> - 2023-06-01 17:53 +0200
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-01 11:56 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-01 13:03 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-25 06:41 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-05-26 02:00 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-26 04:44 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-05-27 01:47 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-27 10:14 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-27 10:59 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-27 13:26 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-05-30 02:48 +0100
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-30 07:38 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-30 09:07 -0700
                Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-01 00:20 +0100
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-24 13:32 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-25 06:00 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-25 13:32 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-25 13:18 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-25 17:54 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-26 04:50 -0700
                Re: Some results about unit fractions Python <python@invalid.org> - 2023-05-26 13:58 +0200
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-26 06:05 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-26 12:10 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-26 10:57 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-26 12:01 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-26 12:56 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-26 15:52 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-26 12:58 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-05-28 05:11 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-28 07:04 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-05-28 18:47 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-29 11:15 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-26 14:36 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-26 12:47 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-26 16:25 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-27 13:44 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-28 05:37 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-28 07:00 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-29 16:08 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-30 06:45 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-30 09:19 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-31 07:41 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-30 18:18 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-31 07:45 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-31 15:00 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-01 12:00 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-01 16:13 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-02 05:40 -0700
                Re: Some results about unit fractions Jeff Barnett <jbb@notatt.com> - 2023-06-02 14:05 -0600
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-03 07:01 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-03 09:56 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-03 11:03 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-03 17:33 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-03 16:29 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-03 20:32 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-04 10:32 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-04 10:51 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-04 11:07 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-04 10:08 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-04 10:18 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-04 10:46 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-04 11:09 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-04 11:32 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-04 11:47 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-04 11:58 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-04 12:16 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-04 11:12 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-04 11:35 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-04 13:36 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-05 07:01 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-05 07:44 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-05 09:01 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-04 10:02 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-03 05:10 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-03 07:01 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-04 20:39 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-05 07:12 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-05 07:41 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-05 13:25 -0400
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-05 15:49 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-03 08:09 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-03 11:00 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-03 07:47 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-03 10:57 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-26 15:31 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-26 12:51 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-26 17:45 -0400
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-18 17:57 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-19 05:29 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-19 08:43 -0700

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