Event Title

Properties of the Fibonacci-Lucas Sequence Mod m

Faculty Advisor

Andrew Shallue

Graduation Year

2021

Location

Center for Natural Sciences

Start Date

4-4-2020 9:00 AM

End Date

4-4-2020 10:00 AM

Description

The Lucas sequence is a variation of the Fibonacci sequence and connects to many similar properties. Using new methods of computation, a larger portion of the Lucas sequence is reduced by mod m and various patterns are compared to the known properties of the Fibonacci sequence. Analysis of the cyclic behavior and length of the Lucas sequence are studied using matrix notation. Specific properties pertaining to prime numbers are also noted for applications in cryptography.

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Apr 4th, 9:00 AM Apr 4th, 10:00 AM

Properties of the Fibonacci-Lucas Sequence Mod m

Center for Natural Sciences

The Lucas sequence is a variation of the Fibonacci sequence and connects to many similar properties. Using new methods of computation, a larger portion of the Lucas sequence is reduced by mod m and various patterns are compared to the known properties of the Fibonacci sequence. Analysis of the cyclic behavior and length of the Lucas sequence are studied using matrix notation. Specific properties pertaining to prime numbers are also noted for applications in cryptography.