A new concept, Transformer-based Proof-of-Work (PoW), seeks to revolutionize blockchain consensus by redirecting computational power from traditional PoW tasks to meaningful AI computations, such as large language model (LLM) inference. This approach addresses the inefficiencies of Bitcoin's energy-intensive PoW and Proof-of-Stake (PoS) models by enabling miners to contribute to real-world AI tasks instead of solving arbitrary hash puzzles. The proposed mechanism faces challenges, including aligning computational efforts with LLM tasks, ensuring security, and maintaining fairness. Despite these hurdles, Transformer-PoW could pave the way for a more sustainable and equitable consensus model, particularly for decentralized AI networks, by integrating useful computing into blockchain operations.