A Study of the Differences between Consecutive Prime Numbers
Abstract
This paper will present heuristic arguments concerning
the distribution of prime numbers and the spacings between consecutive primes. So that the reader
will be familiar with some of the background material
for this paper, a summary of "Mathematical Sieves" by
David Hawkins is given in Appendix I. The important
results of this paper are the "random number sieve" and
the "proof" of the prime number theorem.