Chapter 14. Perrin Prime Distribution Theorem

Perrin primes and composite numbers of these primes are shown to distribute uniformly in a 14 column by 14X row grid. Dirichlet’s theorem on arithmetic progressions states that there are infinitely many primes of the form a+nd (a congruent modulo d). This Chapter discusses the case when d=14. There are 6 progressions of primes modulo 14 as predicted by Euler’s totient function. A prime divisor function f(x,y,N)=0 is derived to factor vertical entries containing integer N. An algorithm can be programmed to solve for the zeros of the prime divisor function.



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