Small intervals containing square-free numbers


P25 (Room G02/03), PEMS South (Bldg 26)

10.30am to 11.00am

Honours student Michaela Cully-Hugill presents the context and results of her thesis on understanding the distribution of numbers that have no square divisors, i.e. ‘square-free numbers’. These results focus on explicit estimates of relatively small intervals which always contain a square-free number.


Image credit: Kevin Dooley on Flickr under theCC BY 2.0license