Re: Some results about unit fractions

From	Jim Burns <james.g.burns@att.net>
Newsgroups	sci.logic
Subject	Re: Some results about unit fractions
Date	2023-05-18 08:39 -0400
Organization	A noiseless patient Spider
Message-ID	<dda17848-4bc2-b007-0adb-3388eec9bf34@att.net> (permalink)
References	(12 earlier) <d12aceca-9920-48e9-90f5-e1041b329fecn@googlegroups.com> <de334c35-3dd9-4589-8c04-77188cac17d0n@googlegroups.com> <5809b3c8-a59e-43a2-8c2b-90cfb92f2db3n@googlegroups.com> <42259398-6906-40e2-aaae-84befb0fc0cen@googlegroups.com> <a034a854-2814-4382-aad2-5e3fc48e697an@googlegroups.com>

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On 5/16/2023 2:11 PM, WM wrote:
> Fritz Feldhase schrieb am Dienstag,
> 16. Mai 2023 um 18:33:06 UTC+2:
>> On Tuesday, May 16, 2023
>> at 5:03:11 PM UTC+2, WM wrote:
>>> Fritz Feldhase schrieb am Dienstag,
>>> 16. Mai 2023 um 02:14:15 UTC+2:
>>>> On Monday, May 15, 2023
>>>> at 10:49:32 PM UTC+2, WM wrote:

>>>>> But if ℵ₀ unit fractions do not
>>>>> all sit at zero, then they occupy
>>>>> a part of the interval (0, 1].
>>>>> Then not all points x of that interval
>>>>> have ℵ₀ unit fractions at
>>>>> their left-hand side.
>>>>
>>>> Huh?! Non sequitur.
>>>
>>> Simple:
>>> They are distributed over
>>> a part D of (0, 1].
>
> Or do they sit at a point?
> ℵ₀ unit fractions are only available
> after D.
> If D is not a point,
> it cuts part of (0, 1].

| Assume D cuts part of (0,1]
|
| NUF(D/2) < ℵ₀
| NUF(2D) = ℵ₀
|
| NUF(D/2) < ℵ₀
| a last unit fraction ⅟ℒ < D/2
| or no unit fraction ⅟m < D/2
| ⅟ℒ < D/2 or ¬(⅟m < D/2)
|
| NUF(2D) = ℵ₀
| no last unit fraction ⅟ℒ < 2D
| and a unit fraction ⅟k < 2D
| ¬(⅟ℒ < 2D) and ⅟k < 2D
|
| However,
| not(⅟ℒ < D/2 and ¬(⅟ℒ < 2D))
| because
| ⅟ℒ < D/2 < 2D
| and ¬(⅟ℒ < 2D)
|
| and not(¬(⅟m < D/2) and ⅟k < 2D)
| for m = 4k
| because
| ¬(⅟(4k) < D/2)  ⟺  ¬(⅟k < 2D)
| and ⅟k < 2D
|
| In both cases, contradiction.

Therefore,
D does not cut part of (0,1]

----
A left-end unit fraction ⅟ℒ not-exists.

The unit fractions ⅟ℕ⁺ are
1×1 1-ended.

Each x ∈ (0,1) splits ⅟ℕ⁺ into
a 1×1 1-ended and a 1×1 2-ended part.

Each 1×1 1-ended is the same size.

NUF(x) = ℵ₀

1×1 1-ended is not
reallyreallyreallyreallyreallyreally large
1×1 2-ended.

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Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-04 05:16 -0700
  Re: Some results about unit fractions Jeff Barnett <jbb@notatt.com> - 2023-05-04 09:43 -0600
    Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-05 05:01 -0700
      Re: Some results about unit fractions Jeff Barnett <jbb@notatt.com> - 2023-05-06 00:15 -0600
        Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-06 07:21 -0700
  Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-04 15:24 -0400
    Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-05 05:01 -0700
      Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-05 13:01 -0400
        Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-06 07:22 -0700
          Re: Some results about unit fractions JVR <jrennenkampff@googlemail.com> - 2023-05-06 07:56 -0700
            Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-06 13:22 -0700
          Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-06 13:02 -0400
            Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-06 13:18 -0700
              Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-06 23:41 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-07 07:17 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-07 23:50 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-08 06:06 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-08 10:04 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-08 14:59 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-08 13:59 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-08 21:02 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-09 05:45 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-09 11:46 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-09 13:53 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-10 08:47 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-10 06:07 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-10 13:58 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-08 10:10 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-08 10:13 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-08 10:19 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-08 15:32 -0400
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-08 13:13 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-08 14:02 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-08 13:57 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-08 13:54 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-08 14:24 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-09 05:49 -0700
                Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-05-09 12:41 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-09 14:03 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-09 17:09 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-10 06:05 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-10 09:19 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-10 13:05 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-10 13:21 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-11 04:37 -0700
                Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-11 09:51 -0700
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-12 05:31 -0700
                Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-11 14:00 -0400
                Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-12 05:31 -0700
                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 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 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 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> - 2023-05-26 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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