olymmath

Putnam 2000 A5

  • Session A

Three distinct points with integer coordinates lie in the plane on a circle of radius r>0r>0. Show that two of these points are separated by a distance of at least r1/3r^{1/3}.

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

Human solution Solution 1 by Manjul Bhargava, Kiran Kedlaya and Lenny Ng

The terms of the source let olymmath link to this solution but not copy it. Read the solution (Kedlaya Putnam archive).

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