Previous problems

This page gives a list of previous biweekly problems and their respective solutions.

Previous Problem (No. 49)

Consider an ellipse ax2+by2=1 with rational a,b. Show that if there is a point on this ellipse with both coordinates rational, then there are infinitely many such points.

Solution (pdf)

PROBLEMS SINCE September 2021

All documents state the problem on the first page, with a sketch of the solution being presented on the second page.

Problems before September 2021

Older biweekly problems have been moved to box

Last modified: 2022-06-10