What: Bi-State Math Colloquium
When: Wednesday, April 9, 4:00PM
Where: Loras College, Hennessy 250
Who: Hung Dao
We will explore a particular kind of number known as a Special
Perfect Square, which is a perfect square that can be expressed
as the concatenation of two other squares. For example, 49 is a
perfect square, and so are 4 and 9. I will begin with showing a
list of special perfect squares using C++ to provide general ideas
about their frequency of occurrence, as well as some particular
patterns. I will develop the topic by generalizing the problem
using arithmetic representation of numbers, and show a few
connections this topic has with previous research from other
mathematicians. For certain significant observations and
conjectures, I will share my proofs and conclusions accordingly.
Hung Dao is a senior math and accounting major at Loras
College. This presentation is in partial fulfillment of the Loras
College math major.