twin-prime-conjecture

A repository exploring two major conjectures in number theory, the Goldbach conjecture and the twin-prime conjecture, through minimal Goldbach partitions and two new identities involving $\pi(n)$ and $\pi_2(n)$

every prime >3 lies on one of two explicit irrational straight lines of slope κ = log₂(3¹²/2¹⁹) in the covering space of ℝ²/(12ℤ×6ℤ). Twin primes are simultaneous integer points on both lines. Irrationality implies infinite recurrence. A live browser implementation is provided. The pattern has been verified to N>10⁸ and holds

A fully constructive and unified proof of the Twin Prime Conjecture