Sunday, October 30

Weston's John Street pedestrian bridge

On Friday, the John Street UP/GO rail crossover was, at long last, opened to the public. Historically, this location may be considered to be the heart of Weston because it is where its train stations (CNR, CPR) used to be. Architecturally, I thought the bridge to be quite nice.

Although the safety fencing gets in the way of on-the-bridge photography, I was able to find a lower platform that provided an unobstructed view of the new train station to the south:

Sunday, October 9

A small 3-balanced factorization integer

My eight digits reverse search has run into unexpected and unwelcome difficulties. I have put it on a back burner for now. The forward search to 10^12 continues on several fronts and, today, snagged on one of those fronts a 12-digit 3-balanced factorization integer! In my mind I had conjectured a 13-digit 3-balanced factorization integer but a 12-digit find came as a total surprise. This answers my query as to the existence of a 3-balanced integer smaller than the largest 2-balanced integer:

785984586660 = 2^2 * 3^2 * 5 * 7 * 13 * 149 * 307 * 1049