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ABC and Prime Divisors of Lucas Sequences
by
Ram Murty
Queen's University
Coauthors: Siman Wong (University of Massachusetts, Amherst)
We will show how the ABC conjecture implies a conjecture of Erdös that predicts that P(2n-1)/n --> \infty, as n --> \infty, where P(a) denotes the largest prime factor of a. Naturally, the method extends to study the largest prime divisors of Lehmer and Lucas sequences.
Date received: March 23, 2000
Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # caew-51.