## Frank Morgan's Math Chat |

**NEW CHALLENGE **"Once in a Millennium" (David Shay). The year 2000 can be
represented as the sum of consecutive integers:

The year 2001 can be represented as the sum of consecutive integers:

In fact, every year in the millennium from 2000 to 2999 can be represented as the sum of consecutive integers, except one year. Which year cannot be represented as the sum of consecutive integers?

Send answers, comments, and new questions by email to
Frank.Morgan@williams.edu, to be eligible for *Flatland* and other book
awards. Winning answers will appear in the next Math Chat. Math Chat
appears on the first and third Thursdays of each month. Prof. Morgan's
homepage is at www.williams.edu/Mathematics/fmorgan.

Copyright 1999, Frank Morgan.