Convergence and generalization of a recursion equation for primes

2013/11/17 by Haley, James · 1 citation
#11A41 #11M06 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1311.4216

Abstract

The main result is a generalization of Keller's recursion equation for finding a prime number given the previous primes. We also examine the convergence of the limit in Keller's equation and the convergence of the limit in the general equation. The latter is dependent on the choice of L-function.

Cited by

• An effective analytic recurrence for prime numbers

Related

• A recursion equation for prime numbers
• An effective analytic recurrence for prime numbers
• A Functional Recurrence to obtain the Prime Numbers using the Smarandache Prime Function
• On a sequence involving the prime numbers
• The recursive structure of the distribution of primes