850 Polytechnic Lane, Marietta, GA 30060

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Speaker: Jack Dalton, University of South Carolina

Title: “Representing Integers as the Sum of a Square-free Number and a Small Prime”

Abstract: Dudek showed in 2017 that every integer greater than two can be written as the sum of a square-free number and a prime. We will show that all integers, but a small list of exceptions, can be represented as a square-free plus a prime with the prime being less than the square root of the original number.


The Discrete Math Seminar (DMS) is intended for Kennesaw State faculty working in the various areas of algebra, number theory, and discrete mathematics to get together to discuss their current work or related questions. Seminars often involve advanced mathematical knowledge. However, the seminars are open to anyone who is interested in attending.

  • Brooke George
  • Mario Dallis

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