UNIVERSITY OF COLORADO COLORADO SPRINGS

COLLEGE OF ENGINEERING AND APPLIED SCIENCE

UCCS CAMPUS MAP

DRIVING DIRECTIONS

The Hawkins Random Sieve

John Lorch

Ball State University

A simple probabilistic variation of Eratosthenes' sieve may be used to create sequences of Hawkins primes.
We will see that the Hawkins primes are a reasonable model for the `real' primes and that they provide
tantalizing evidence concerning the distribution of the primes. We will also discuss a natural generalization
 of the Hawkins model.