The emergence of the Mersenne Star: a new geometry of prime numbers bridging physics and artificial general intelligence

This paper introduces a new key geometric way to understand Mersenne prime numbers. It discovers a shape called the Mersenne Star, which appears naturally from a special sequence named the Quanta Prime Sequence (QPS). This sequence is a double-indexed pattern that shows special behaviour when applied to numbers like [Formula: see text] The Mersenne Star has eight points and twelve edges, and it shows 32 strict mathematical relationships between exact locations. These patterns are not random—they are symmetric and meaningful. Around the star, we find neighbours that match famous number sequences like Fibonacci and Lucas, as well as points that follow regular repeating cycles (like 6, 8, 12, or 24). This shows a kind of hidden harmony in how prime numbers behave. The study offers a fresh way to see primes—not as isolated numbers, but as part of a larger picture with deep connections. This work is an early step toward building a new key field called Geometry of Prime Numbers. It also opens the door to using intelligent computer systems to detect prime numbers by recognizing these shapes and patterns. This idea may lead to what we call Artificial Prime Intelligence—using machines to explore and understand the hidden world of primes.