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The Greatest Prime Factor Function and Some Applications (2010 Student Research Colloquium)

Year: 
2010
Researcher(s): 
Greg Back, Mihai Caragiu (advisor)
Institution: 
Ohio Northern University
Discipline: 
Mathematics

We use the greatest prime factor function to explore the properties of the set of prime numbers. The concept of prime numbers deals primarily with multiplicative properties of integers; by considering also the additive properties of prime numbers, a rich mathematical structure emerges. We first investigate the properties of a family of magmas based on the addition of prime numbers and the greatest prime factor function. Then, the same function is used to define a family of recurrence relations on prime numbers. (http://www.onu.edu/files/Colloquium_Program_2010.pdf )

2010 Student Research Colloquium