https://nova.newcastle.edu.au/vital/access/ /manager/Index en-au 5 https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:14064 Sat 24 Mar 2018 08:22:33 AEDT ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:11941 10^9.3·10⁶. This was the current best result and proved using a method due to L. Moser (1953). This approach cannot be improved to reach the benchmark m>10^10⁷. Here we achieve m>10^10⁹ by showing that 2k/(2m-3) is a convergent of log 2 and making an extensive continued fraction digits calculation of (log 2)/N, with N an appropriate integer. This method is very different from that of Moser. Indeed, our result seems to give one of very few instances where a large scale computation of a numerical constant has an application.]]> Mon 18 Mar 2019 11:43:13 AEDT ]]>