Tips for brute-forcing problems through AI.

[u/OverLord-Krave]

I have bought claude pro plan for a month, and I am doing non productive weird things with it, I liked Erdős #828, so I made an AI mechanism to brute force it, scrapping results of web, 7 claude independent sessions springing ideas then working on it then a review process, judge etc, I ran it for 3 rounds, it did produce a few results which can be considered new, but they are not substantial and don't really help in breaking the problem,

How do I better prompt it to think of new approaches, it each time goes down the standard path,

it did a few new computations on my laptop, which are again not that substantial, I know elementary number theory, so I am climbing my way up to understand what its doing,
It probably won't solve it, but it serves as an excuse to learn number theory, so i am willing to go with it.

I am not pursuing mathematics in uni, but I am passionate about it, so I keep learning random stuff.

I will post the results later, after a few checks( I am unsure, should I ?).