Timeline for Has there been any new development on the Freudenthal Problem?
Current License: CC BY-SA 4.0
24 events
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| Aug 4, 2022 at 6:08 | comment | added | Brett Berger | It seems like people talk about many different versions of the problem, but only certain enthusiasts take any one version to an extreme depth. I'll be the enthusiast who goes deep on the "sum and product, lower bound 3, no upper bound" version, then! | |
| Aug 3, 2022 at 23:46 | comment | added | Max Alekseyev | Some variations were discussed at AOPS: artofproblemsolving.com/community/c146h150971 | |
| Aug 3, 2022 at 21:34 | vote | accept | Brett Berger | ||
| Aug 3, 2022 at 21:34 | answer | added | Brett Berger | timeline score: 3 | |
| Jul 8, 2018 at 21:31 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Jun 8, 2018 at 6:28 | answer | added | Brett Berger | timeline score: 2 | |
| May 21, 2018 at 6:34 | history | edited | Brett Berger | CC BY-SA 4.0 |
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| May 21, 2018 at 6:15 | history | edited | Brett Berger | CC BY-SA 4.0 |
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| May 21, 2018 at 0:06 | history | edited | Brett Berger | CC BY-SA 4.0 |
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| May 20, 2018 at 23:32 | history | edited | Brett Berger | CC BY-SA 4.0 |
added explicit example of large probably-solution pair
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| May 20, 2018 at 23:07 | comment | added | Brett Berger | I have looked at the van Ditmarsch papers, though not though all the references they list. They use a similar algorithm to the one I give here to list solutions, though there is no talk of the generalization to arbitrary upper bound. The only claim I have seen regarding classifying all pairs of solutions was the one made by Born-Hurkens-Woeginger conjecturing there were infinitely many (a conjecture which I feel I am near proving false) | |
| May 20, 2018 at 22:49 | comment | added | Gerry Myerson | So, was there anything useful in those references? | |
| May 20, 2018 at 20:12 | history | edited | Brett Berger | CC BY-SA 4.0 |
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| May 20, 2018 at 19:58 | history | edited | Brett Berger | CC BY-SA 4.0 |
Included a question in the new section
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| May 20, 2018 at 19:51 | history | edited | Brett Berger | CC BY-SA 4.0 |
Included a question in the new section
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| May 20, 2018 at 19:26 | history | edited | Brett Berger | CC BY-SA 4.0 |
Added section on arithmetic progressions with low values of F
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| May 18, 2018 at 6:39 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
added Wikipedia link
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| May 18, 2018 at 6:33 | history | edited | Brett Berger | CC BY-SA 4.0 |
Added asymptotic analysis of F(s).
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| May 15, 2018 at 2:44 | history | edited | Brett Berger | CC BY-SA 4.0 |
Updated research regarding pairs of the form $(2^k, 3^l)$
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| May 13, 2018 at 23:12 | comment | added | Gerry Myerson | One more reference: MR2435478 (2010d:03027) van Ditmarsch, H. P.; Ruan, J.; Verbrugge, R. Sum and product in dynamic epistemic logic. J. Logic Comput. 18 (2008), no. 4, 563–588. This one has a review. There are also some links at en.wikipedia.org/wiki/Sum_and_Product_Puzzle | |
| May 13, 2018 at 23:06 | comment | added | Gerry Myerson | Curiously, only the first of the three Born-Hurkens-Woeginger papers has been reviewed in Math Reviews (the other two have been "indexed"), and no links are given to other papers, and nothing else shows up on searching for "Freudenthal problem". Searching for "sum and product puzzle" leads to one more paper, also indexed: MR2583039 van Ditmarsch, Hans; van Eijck, Jan; Verbrugge, Rineke Public works: Freudenthal's sum and product puzzle. Nieuw Arch. Wiskd. (5) 10 (2009), no. 2, 126–131. | |
| May 13, 2018 at 17:04 | history | edited | Brett Berger | CC BY-SA 4.0 |
Changed a redundant variable name, added improved bound.
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| May 13, 2018 at 0:46 | review | First posts | |||
| May 13, 2018 at 1:00 | |||||
| May 13, 2018 at 0:44 | history | asked | Brett Berger | CC BY-SA 4.0 |