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CWSF 2008 - Ottawa, Ontario

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Biography
My name is Lawrence Xie. I am a grade twelve student at Centennial Collegiate Vocational Institute in Guelph, Ontario. Although this is my first and possibly only time attending CWSF, I have had an interest in mathematics for quite some time. I have frequently performed well on numerous math and physics contests as well as completed Advanced Placement exams in calculus and physics with a top level of 5. Aside from academic studying, I also enjoy running. I am a member of my school’s cross-country and track teams. Moreover, I am also an accomplished pianist, having completed my ARCT in June, 2007. Coming June, I will be competing in the Kiwanis Music Festival Provincial Finals. Next year I plan on either majoring in Math at University of Waterloo, or Engineering Science at University of Toronto.

Lawrence Xie


Prime Probability Paradox Through Parity!
Division:International / None
Category:Senior
Region:Waterloo-Wellington
City:Guelph, ON
School:Centennial Collegiate & Vocational Institute
Abstract:By considering the relationship between sets of prime numbers and even numbers in the natural number set, this study investigates the probability of a randomly selected number being prime. The probability determined through this analysis was then compared with the results from a computer program. This study offers a new approach to understand the distribution of prime numbers through the Fundamental Theorem of Arithmetic.