publication . Preprint . 2016

On the last digits of consecutive primes

Holt, Fred B.;
Open Access English
  • Published: 08 Apr 2016
Abstract
Recently Oliver and Soundararajan made conjectures based on computational enumerations about the frequency of occurrence of pairs of last digits for consecutive primes. By studying Eratosthenes sieve, we have identified discrete dynamic systems that exactly model the populations of gaps across stages of Eratosthenes sieve. Our models provide some insight into the observed biases in the occurrences of last digits in consecutive primes, and the models suggest that the biases will ultimately be reversed for large enough primes. The exact model for populations of gaps across stages of Eratosthenes sieve provides a constructive complement to the probabilistic models ...
Subjects
arXiv: Mathematics::Number TheoryMathematics::General Mathematics
free text keywords: Mathematics - Number Theory, 11N05, 11A41, 11B75, 11A07
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Models for g=30 Models for g=420 0.04 0.08

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