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Booker, A.R. (2016) A Variant of the Euclid-Mullin Sequence Containing Every Prime. arXiv preprint, arXiv:1605.08929.

has been cited by the following article:

• TITLE: How Prime Numbers Are Interconnected and Built with Two Equations: Addition and Subtraction Rules the Function (6µ)

  AUTHORS: John Richard Wisdom

  KEYWORDS: Number Theory, Prime Number Groups, Twin Primes, Prime Structure and Sequence, Prime Subtraction and Addition

  JOURNAL NAME: Advances in Pure Mathematics, Vol.14 No.4, April 17, 2024

  ABSTRACT: Are all prime numbers linked by four simple functions? Can we predict when a prime will appear in a sequence of primes? If we classify primes into two groups, Group 1 for all primes that appear before ζ (such that , for instance 5, ), an even number divisible by 3 and 2, and Group 2 for all primes that are after ζ (such that , for instance 7), then we find a simple function: for each prime in each group, , where n is any natural number. If we start a sequence of primes with 5 for Group 1 and 7 for Group 2, we can attribute a μ value for each prime. The μ value can be attributed to every prime greater than 7. Thus for Group 1, and . Using this formula, all the primes appear for , where μ is any natural number.