Timeline for Is there a progress on a solution of the inequality $\pi (m+n) \leq \pi (m) + \pi (n)$
Current License: CC BY-SA 3.0
17 events
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| Aug 5, 2013 at 21:12 | answer | added | Mark Lewko | timeline score: 7 | |
| Aug 5, 2013 at 18:43 | answer | added | Felipe Voloch | timeline score: 2 | |
| Aug 5, 2013 at 18:36 | history | edited | user9072 |
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| Aug 5, 2013 at 16:50 | comment | added | Brendan McKay | Is it plausible that there are only finitely many counterexamples with $n\ge m\ge cn$ and for any constant $c>0$? | |
| S Aug 5, 2013 at 15:02 | history | suggested | Mahdi Khosravi | CC BY-SA 3.0 |
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| Aug 5, 2013 at 14:28 | review | Suggested edits | |||
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| Jul 6, 2010 at 1:43 | comment | added | Gerry Myerson | T, about 30 years ago I went to a philosophy of math talk, where the speaker was interested in what it says about mathematics, that our instincts are so good. He pointed to our uncanny ability to make conjectures that turn out to be true. I told him about the Hensley-Richards work showing that the $\pi(m+n)$ conjecture and the prime $k$-tuple conjecture couldn't both be true. His immediate reply was that the $\pi(m+n)$ conjecture must be correct! But he doesn't count as an answer to your question, as he was a philosopher of math, not a number theorist. | |
| Jul 5, 2010 at 22:55 | comment | added | T.. | re: "many number theorists", is there ANY number theorist who finds this conjecture credible, given that it contradicts the $k$-tuplets conjecture (and so is also is challenged by the supporting evidence for the $k$-tuplets conjecture, such as the probability heuristics that apply to many other problems, or the Green-Tao proof that the heuristic is correct in many cases similar to the k-tuples problem). | |
| Jul 5, 2010 at 19:12 | answer | added | T.. | timeline score: 14 | |
| Jul 5, 2010 at 12:52 | history | edited | Hashem sazegar | CC BY-SA 2.5 |
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| Jul 5, 2010 at 11:13 | history | edited | Charles Matthews | CC BY-SA 2.5 |
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| Jul 5, 2010 at 11:11 | comment | added | Charles Matthews | You mean Littlewood not Wright (who was born 1906): see en.wikipedia.org/wiki/… | |
| Jul 5, 2010 at 10:52 | answer | added | Thomas Bloom | timeline score: 20 | |
| Jul 5, 2010 at 7:22 | history | edited | Charles Matthews | CC BY-SA 2.5 |
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| Jul 5, 2010 at 7:19 | answer | added | Péter Komjáth | timeline score: 3 | |
| Jul 5, 2010 at 7:08 | comment | added | Robin Chapman | It's known that this contradicts the general prime $k$-tuple conjecture primes.utm.edu/glossary/page.php?sort=PrimeKtupleConjecture and many number theorists find the $k$-tuple conjecture the more plausible. | |
| Jul 5, 2010 at 7:03 | history | asked | Hashem sazegar | CC BY-SA 2.5 |