Ethical AI in Mathematics: BTE Model with Artificial Conscience Verifies Goldbach's Conjecture up to 10⁶

This work introduces an innovative computational model, BTE, which verifies Goldbach’s Conjecture—the hypothesis that every even integer greater than 2 can be expressed as the sum of two prime numbers—up to one million. The verification is carried out through a novel framework that integrates artificial conscience with bioethical principles. Drawing on neuro-inspired metrics such as simulated Prefrontal Cortex (PFC) activity and Oxytocin-like ethical weighting, BTE evaluates and prioritizes prime pairs based on a decision score reflective of cognitive and ethical suitability.