Analytical Prime Generation via the Logarithmic Ruler — Part II

This paper presents an analytical approach to generating prime numbers without using any divisibility rule or sieve.Instead of testing factors, primes are calculated directly as continuous solutions of the Riemann function, refined through Newton’s method.The work introduces the concept of a “logarithmic ruler,” where the prime sequence emerges as a proportional and continuous geometric scale.It is an experimental but rigorous formulation that bridges analysis and number theory.Full Python code is provided for verification and reproduction.