Transcript Randomization of Prime Numbers

Rice University Summer Institute of
Statistics
Study of the distances and increments
between prime numbers by modular
segregation and extreme value theory
Research group:
Project Advisor: Dr. Javier Rojo
Jenny M. Fries
Brandon M. Perpich
Matthew E. Pragel
Tahira N. Saleem
Conjectures
A Weibull or exponential distribution models
the distances and increments between
consecutive primes when separated modulo six.
 The extreme values over a certain threshold
follow a generalized pareto distribution.
 The number of distances congruent to two and
four modulo six approach a limit.
 The waiting times between extreme values
follow a Poisson process.

Previous Studies

Information Entropy and Correlations in
Prime Numbers
--Kumar, Ivanov, Stanley (2003)
Primes: 2 3 5 7 11 13 17
Distance: 1 2 2 4 2 4
Increment: 1 0 2 -2 2