On the distribution of prime numbers (II)
Abstract
Recently, I have defined the so called PDF's (prime distribution factors) which govern the distribution of prime numbers of the type p,p+ai being all primes up to some number n. It was shown that the PDF's are expressible in terms of the basic PDF's which are defined as ai-aj or ai being composed of primes which are less or equal to the number of primes. For example, p,p+2 (twin primes), or p,p+2,p+6 being all primes (basic triplets). We give here a conjecture for the number of basic prime PDF's in terms of Hardy-Littlewood numbers, thus completing the determination of PDF's. These conjectures are supported by extensive calculations.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.