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Timeline for Consecutive non squarefree integers

Current License: CC BY-SA 3.0

10 events
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Feb 1, 2018 at 15:26 history edited GH from MO
edited tags
Nov 18, 2013 at 13:46 vote accept István Kovács
Nov 18, 2013 at 4:57 history edited Lucia CC BY-SA 3.0
Fixed an error in an estimate
S Nov 18, 2013 at 4:19 history edited Lucia CC BY-SA 3.0
Fixed the problems communicated by Lucia. We were aware of the results of Erdős, but we can not see where we went wrong.
S Nov 18, 2013 at 4:19 history suggested Daniel Soltész CC BY-SA 3.0
Fixed the problems communicated by Lucia. We were aware of the results of Erdős, but we can not see where we went wrong.
Nov 18, 2013 at 4:00 review Suggested edits
Nov 18, 2013 at 4:19
Nov 18, 2013 at 2:47 answer added Lucia timeline score: 12
Nov 18, 2013 at 2:13 comment added Anthony Quas Interesting question. The literature seems to have quite a lot about upper bounds. The best upper bounds I could find were $[n,n+cn^{1/5}\log n]$ (due to Filaseta) - clearly much bigger than your lower bound. Granville showed that the abc conjecture implies an upper bound of $n^\epsilon$ for any $\epsilon>0$.
Nov 18, 2013 at 1:12 review First posts
Nov 18, 2013 at 1:15
Nov 18, 2013 at 0:55 history asked István Kovács CC BY-SA 3.0