Fall 2015 Problem of the Week Competition

We encourage all math and stat majors to participate in the Problem of the Week competition for fun and possibly prizes.  There are two divisions (undergrad and grad).  The top 3 finishers in each division are eligible for prizes.  Check out https://sites.google.com/a/sjsu.edu/bjackson/home/sjsuproblemoftheweek for more info.  The first problem is given below and solutions are due by Sept. 3.  Hard copies of problems and solutions can be found in the hallway outside of the math office MH 308 or you can also check online on Professor Jackson’s google site linked above.

Problem 1 (5 points)

Let m be a positive integer and consider the number N = m(m + 2015).  Find a positive integer m such that N is a perfect square.

Cheers, Brad Jackson MH 316 bradley.jackson@sjsu.edu

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