For fun I gave the public key to Opus 5.5, telling it that this is a puzzle, and it should solve the puzzle without web search. Opus 5.5 told me the private key of 4 after two minutes, including the time to write and run a 30-line Python script implementing a baby step giant step search for discrete logarithm. As far as I can see, it did not use web search or use any command that would have internet access.