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| From | Ben Bacarisse <ben.usenet@bsb.me.uk> |
|---|---|
| Newsgroups | sci.logic |
| Subject | Re: Some results about unit fractions |
| Date | 2023-04-21 03:39 +0100 |
| Organization | A noiseless patient Spider |
| Message-ID | <87mt32ufg2.fsf@bsb.me.uk> (permalink) |
| References | (12 earlier) <56554721-5764-4364-9bbe-c00a45684a32n@googlegroups.com> <87v8hvsefb.fsf@bsb.me.uk> <6b815533-831c-47e5-b2ff-964140ca7d6dn@googlegroups.com> <874jpeot61.fsf@bsb.me.uk> <e19a9620-fffc-4d0f-b21e-e54095334867n@googlegroups.com> |
WM <askasker48@gmail.com> writes: (AKA Dr. Wolfgang Mückenheim or Mueckenheim who teaches "Geschichte des Unendlichen" at Hochschule Augsburg.) > Ben Bacarisse schrieb am Dienstag, 18. April 2023 um 03:50:18 UTC+2: >> WM <askas...@gmail.com> writes: >> >> > Ben Bacarisse schrieb am Sonntag, 16. April 2023 um 23:30:38 UTC+2: >> >> WM <askas...@gmail.com> writes: >> >> > Ben Bacarisse schrieb am Sonntag, 16. April 2023 um 02:29:34 UTC+2: >> >> >> >> >> If you want to reclaim some integrity, ask someone to prove that NUF is >> >> >> constant in (0,1] >> >> > >> >> > That means ℵo unit fractions are between 0 and (0, 1]. >> >> No. NUF is provably constant in (0,1], >> > >> > Then there must be ℵ₀ unit fractions before the interval. >> Are you seriously suggesting that there are unit fractions <= 0? > > No, you are if you really mean every x in (0, 1]. So you claim (without proof) that NUF is provably constant in (0,1] implies that there are unit fractions <= 0. You are wrong. The facts are that (a) NUF(x) = ℵ₀ for x > 0, and (b) ~∃n in N with 1/n <= 0. These are entirely consistent with each other. > But I know that you mean only those which cover many distances of unit > fractions. And chance you could use maths rather than words? No. >> Functions with a discontinuity like this are nothing special >> and sets so dense in the reals that the "number of them" in (0,x] is >> infinite for all x > 0 are also common. > > This idea is wrong. The unit fractions have distances. They are > smaller than all the epsilons you can choose. Any chance of writing that in mathematics? >> The above holds for all pairs of unit fractions. > > Therefore not both can sit before every x > 0. Indeed. Not even one can set before every x > 0. You really must start to write these silly claims in maths. I don't think you know what the words mean. >> If you mean something else, write it property with the quantifiers in >> the right order. > > Here no quantifier magic applies. The real line is constant. What is > true for every x is true for all x. You are playing quantifier games but either you don't know what the words you use mean or you are doing it deliberately. There are unit fractions less than every x > 0 but there are no unit fractions less that all x > 0. In English, you can't switch every and all without playing games. I am sure this is deliberate on your part. Even you could write these things symbolically, but your argument would evaporate when written without the word games. >> NUF(x) is constant in (0,1]. You know what you need to show to prove >> otherwise, and you just can't do it. > > I did: No you waffled. You need to (a) characterise all the elements in (0,1] and (b) prove that there is a x in (0,1] with NUF(x) =/= ℵ₀. You can't do (a) because that would give the game away. > If there are many unit fractions at the beginning of the interval, > then there is also at least one unit fraction 1/n among them. Waffle. What is "at the beginning" of an open interval? There's no need for this dance about if there are many there is one. There is a formula for the largest unit fraction less the x. > Then by > ∀n ∈ ℕ: 1/n - 1/(n+1) = 1/(n(n+1)) > 0 the next one, 1/(n+1) sits > inside the interval, Yes. For any x in (0,1] 1/n where n = floor(x) + 1 is the largest unit fraction less that x. The infinite sequence of fractions 1/n, 1/(n+1), 1/(n+2), ... are all in the interval (0,x). That's why NUF(x) = ℵ₀. > not at the beginning before every x > 0. Waffle. You just don't have the right mental picture of the open set and of the set of unit fractions. Only 0 is before every x > 0. Nothing is "at the beginning" of (0,1] for any reasonable guess about what the beginning means. You could try mathematics. > But this > is true for each of these infinitely many unit fractions. Therefore > only one can sit at the beginning before every x > 0. Nothing in (0,1] sits before every x > 0. No unit fraction is the "first" (i.e. closest to the beginning). -- Ben.
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Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-12 07:06 -0700
Re: Some results about unit fractions Julio Di Egidio <julio@diegidio.name> - 2023-04-12 07:42 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-12 07:49 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-04-12 08:26 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-04-12 08:27 -0700
Re: Some results about unit fractions Julio Di Egidio <julio@diegidio.name> - 2023-04-12 23:55 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-13 09:44 -0700
Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-04-12 16:11 +0100
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-12 09:37 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-04-12 09:56 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-04-12 09:58 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-12 14:22 -0700
Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-04-12 20:43 +0100
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-12 14:20 -0700
Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-04-13 01:44 +0100
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-13 09:44 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-04-13 10:47 -0700
Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-04-14 00:00 +0100
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-04-13 18:04 -0700
Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-04-14 21:27 +0100
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-04-14 19:25 -0700
Re: Some results about unit fractions Julio Di Egidio <julio@diegidio.name> - 2023-04-15 00:12 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-15 11:19 -0700
Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-04-16 01:29 +0100
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-04-15 18:50 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-16 05:41 -0700
Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-04-16 22:30 +0100
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-17 12:02 -0700
Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-04-18 02:50 +0100
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-18 05:05 -0700
Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-04-21 03:39 +0100
Re: Some results about unit fractions JVR <jrennenkampff@googlemail.com> - 2023-04-21 03:41 -0700
Re: Some results about unit fractions Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-04-21 13:20 +0100
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-21 06:42 -0700
Re: Some results about unit fractions JVR <jrennenkampff@googlemail.com> - 2023-04-21 08:34 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-21 12:52 -0700
Re: Some results about unit fractions JVR <jrennenkampff@googlemail.com> - 2023-04-21 13:08 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-22 06:45 -0700
Re: Some results about unit fractions JVR <jrennenkampff@googlemail.com> - 2023-04-22 15:30 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-23 06:31 -0700
Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-04-22 06:48 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-22 11:56 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-04-22 13:29 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-04-22 16:36 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-23 06:30 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-04-23 15:23 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-23 13:43 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-04-24 00:35 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-24 07:35 -0700
Re: Some results about unit fractions JVR <jrennenkampff@googlemail.com> - 2023-04-24 07:53 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-04-24 12:59 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-24 12:15 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-04-24 17:00 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-25 11:44 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-04-22 15:03 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-04-22 15:06 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-04-22 15:07 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-23 06:57 -0700
Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-04-23 14:45 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-24 07:25 -0700
Re: Some results about unit fractions JVR <jrennenkampff@googlemail.com> - 2023-04-24 07:57 -0700
Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-04-24 09:37 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-24 11:56 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-04-24 15:51 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-25 11:26 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-04-25 17:16 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-26 04:47 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-26 04:50 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-04-26 17:36 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-27 06:31 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-04-27 08:11 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-27 12:21 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-04-27 14:14 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-27 12:36 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-04-27 17:59 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-28 04:53 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-04-28 15:11 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-29 03:30 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-04-29 17:25 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-30 05:46 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-04-29 23:41 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-04-30 05:51 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-01 15:05 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-02 05:14 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-01 15:06 -0400
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-05-01 12:19 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-02 05:08 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-02 05:06 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-02 12:22 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-02 09:49 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-02 14:49 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-05-03 03:20 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-03 13:38 -0400
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-05-03 19:43 -0400
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 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 WM <askasker48@gmail.com> - 2023-06-06 07:47 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-06 07:55 -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> - 2023-06-06 07:50 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-06 08:05 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-06 11:20 -0700
Re: Some results about unit fractions Gus Gassmann <horand.gassmann@gmail.com> - 2023-06-06 10:04 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-06 11:21 -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 WM <askasker48@gmail.com> - 2023-06-06 07:46 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-06 07:55 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-06 11:06 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-06 13:18 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-06 13:33 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-06 13:52 -0400
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 WM <askasker48@gmail.com> - 2023-06-06 11:04 -0700
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 WM <askasker48@gmail.com> - 2023-06-06 11:11 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-07 12:25 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-08 03:46 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-08 04:13 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-08 05:51 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-08 07:15 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-08 09:34 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-08 16:48 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-08 16:50 -0700
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-09 03:43 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-08 14:48 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-08 13:50 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-08 18:39 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-09 03:48 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-09 12:26 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-09 13:36 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-09 18:25 -0400
Re: Some results about unit fractions WM <askasker48@gmail.com> - 2023-06-10 05:05 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-06-10 15:10 -0400
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 WM <askasker48@gmail.com> - 2023-07-04 11:46 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-04 19:12 -0400
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-04 16:25 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-04 22:14 -0400
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-05 18:13 -0700
Re: Some results about unit fractions Jim Burns <james.g.burns@att.net> - 2023-07-06 12:45 -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 WM <askasker48@gmail.com> - 2023-07-04 11:51 -0700
Re: Some results about unit fractions Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-07-04 13:35 -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 WM <askasker48@gmail.com> - 2023-07-04 11:53 -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
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