On Mullin's second sequence of primes
Andrew R. Booker
TL;DR
This paper investigates Mullin's second sequence of primes, demonstrating it omits infinitely many primes and confirming a conjecture related to its properties, contributing to understanding prime distribution in specific sequences.
Contribution
It proves that Mullin's second sequence omits infinitely many primes, confirming a conjecture by Cox and van der Poorten.
Findings
Mullin's second sequence omits infinitely many primes
Confirmed a conjecture about the sequence's prime omissions
Enhances understanding of prime distribution in related sequences
Abstract
We consider the second of Mullin's sequences of prime numbers related to Euclid's proof that there are infinitely many primes. We show in particular that it omits infinitely many primes, confirming a conjecture of Cox and van der Poorten.
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