Really? It's not techno babble. Encode the first few thousand primes in QR codes and pictures of ducks, throw 2000 GPUs at it and see how long it takes to train a model to pick them out of the other similarly encoded integers. Tune for success rate with the next few thousand primes. Even if it's only right 20% of the time you've vastly increased the efficiency of finding new prime numbers.
What sort of AI are you referring to? A deep neural network? Why should this be better than our current techniques?