Examples of computer-generated solutions to the Beal conjecture, particularly those involving common prime factors, are not readily available as a complete list. A user recalls a website that previously hosted this information, but it appears to be no longer accessible. For those interested in conducting their own searches for counterexamples, a recommended resource is a program by Peter Norvig titled "Beal Conjecture: A search for counterexamples." This program can assist in exploring potential solutions. Engaging with this tool may yield valuable insights into the Beal conjecture problem.