Problem #46

Earlier this month (December 1), the 62nd William Lowell Putnam Mathematical Competition was held at universities throughout the United States and Canada. In commemoration, this month's problem is from a previous Putnam.

Show that the equation x2 - y2 = a3 always has integer solutions for x and y whenever a is a positive integer.

Source: 1954 Putnam Competition

Back to the Archives

Back to the Math Department Homepage.