On Lucas Sequences of the First Kind With Finitely Many Primes

Overview

We strengthen a result of Jones by showing that for any integer P 1, the Lucas sequence {Un} defined by U0 = 0, U1 = 1, Un = P · Un1 + Un2 can be translated by a positive integer K(P) such that the shifted sequence with general term Un +K(P) contains no primes, nor terms one unit away from a prime.

Competition history

• ISEF 2022 Mathematics · Entry MATH035 · Atlanta, Georgia, United States Affiliated fair in NY, United States of America

Resources

• ISEF abstract page ↗

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