Algebra & Number Theory Seminar | Department Home

Texas Tech University
Algebra & Number Theory Seminar

Department of Mathematics & Statistics
Math 109
Wednesdays 3:00-4:00 pm

Randy Dominick

Texas Tech University

Wednesday, 18 October, 2017

Math 109, 3:00 pm

Title: Elliptic Fermat Numbers

Abstract: The Fermat numbers have many notable properties, including order universality, coprimality, and definition by a recurrence relation. We use arbitrary elliptic curves and rational points of infinite order to generate sequences that are analogous to the Fermat numbers. We demonstrate that these sequences have many of the same properties as the Fermat numbers, and we discuss results about the prime factors of sequences generated by specific curves and points.