On the greatest prime factor of (ab+1)(ac+1)

By Pietro Corvaja, Umberto Zannier. 2002

60 citations recorded by the source corpus.

We prove that for integers a>b>c>0, the greatest prime factor of (ab+1)(ac+1) tends to infinity with a.

Subfields: Algebra and Number Theory, Artificial Intelligence, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/d39304452c4ed4f15248e89c86475c5e0bd4628d