Timeline for What's the probability that k + n^2 is squarefree, for fixed k?
Current License: CC BY-SA 2.5
6 events
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| Oct 18, 2023 at 15:02 | comment | added | Michael Lugo | The constant between 0.89 and 0.90 is $\prod_p (1-2/p^2)$ where the product is over primes congruent to 1 mod 4, which follows from Bjorn Poonen's answer. The sequence of squarefree numbers of the form $k^2 + 1$ is oeis.org/A069987; a comment there evaluates the constant as 0.8948412245... Apparently this particular case is due to Estermann, 1931; Heath-Brown gave an improved estimate of the error term in 2010, arxiv.org/pdf/1010.6217.pdf | |
| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Mar 1, 2010 at 23:11 | vote | accept | Michael Lugo | ||
| Mar 1, 2010 at 23:11 | vote | accept | Michael Lugo | ||
| Mar 1, 2010 at 23:11 | |||||
| Mar 1, 2010 at 22:48 | answer | added | Bjorn Poonen | timeline score: 30 | |
| Mar 1, 2010 at 22:25 | history | asked | Michael Lugo | CC BY-SA 2.5 |