Download presentation

Presentation is loading. Please wait.

Published byLoreen Bridges Modified over 2 years ago

1
Rice University Summer Institute of Statistics Study of the distances and increments between prime numbers by modular segregation and extreme value theory Research group: Jenny M. Fries Brandon M. Perpich Matthew E. Pragel Tahira N. Saleem Project Advisor: Dr. Javier Rojo

2
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.

3
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

Similar presentations

OK

EVEN NUMBERS EVEN NUMBERS 1 = prime 2 = prime1 3 = prime 4 = 2 x 22 5 = prime 6 = 2 x 33 7 = prime 8 = 2 x 2 x 24 9 = 3 x 3 10 = 2 x 55.

EVEN NUMBERS EVEN NUMBERS 1 = prime 2 = prime1 3 = prime 4 = 2 x 22 5 = prime 6 = 2 x 33 7 = prime 8 = 2 x 2 x 24 9 = 3 x 3 10 = 2 x 55.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Compress ppt online Ppt on tamper resistant seals Ppt on file system in unix Download ppt on iron and steel industry in india Ppt on child development Download ppt on conic sections for class 11 Ppt on transportation in plants and animals Ppt on image demosaicing images Ppt on business environment nature concept and significance of numbers Ppt on network theory immigration