The Block Challenge

There is a basket of eggs. If you remove the eggs two at a time, you wind up with one egg remaining. If you remove them three at a time, then two wind up left in the basket. Four at a time leaves three, five at a time leaves four, and six at a time leaves five. If you remove seven eggs at a time, no eggs remain. None. What is the least number of eggs that could be in the basket?

Solutions must be submitted electonically to warblock1@yahoo.com, dropped off at 1211 during classroom hours. Please write neatly and clearly, including your name and class. Thanks to Doug Shaw, University of Northern Iowa for providing the format.