Problem of the Week: 2015-03-03

Due Tuesday, March 3 at 5:00 pm

A six-digit integer is called super-square if (A) it is a perfect square, (B) none of the digits are 0, and (C) it breaks up into 3 perfect squares with 2 digits each.  For example, 162536 satisfies property (C) since 16, 25 and 36 are all perfect squares.   Find all of the six-digit super-square numbers.

All answers should be clearly explained.  Mathematics is about logic and reasoning, not just about getting a number and putting a box around it.

Submit your answers to the Math/Stat Office, Room 107, Adel Mathematics Building. Please put the due date (e.g. 2015-01-13 for January 13, 2015) on your submission. Contact with questions.

Winning solutions and a summary of scores will be posted on the POTW bulletin board. This bulletin board is located near the bottom of the big stairway joining the first and second floor of the Adel Math Building.