Timeline for The maximum difference between the number of elements in the two sets of equal length of consecutive numbers that divisible by some prime numbers
Current License: CC BY-SA 4.0
4 events
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Jun 13, 2019 at 8:52 | comment | added | Jan-Christoph Schlage-Puchta | A bound involving $k^2$ might be achievable, but I don't think anybody has done it yet. For the upper bound Selberg's sieve might suffice. The lower bound is probably more difficult. A good starting point might be Iwaniec's work on Jacobsthal function. | |
Jun 12, 2019 at 19:35 | comment | added | Martin Hicks | Thanks for your answer. What do you think about the correct order? Is it $O(k^2 \log k)$? | |
Jun 12, 2019 at 13:03 | vote | accept | Martin Hicks | ||
Jun 12, 2019 at 10:43 | history | answered | Jan-Christoph Schlage-Puchta | CC BY-SA 4.0 |