The Most Rapid Essay Writing Service For Your Academic Success

Become a better student and get high grades with our professional writers.

Welcome to the #1 paper writing service, where each essay writer knows your needs and saves you from endless tasks!

  • We cover all disciplines and academic styles.
  • We meet your deadlines and formatting requirements.
  • We ask nothing but your “thank you” in return.

Entrust our essay writing service with your homework today—and forget about dull tasks and poor grades forever.

What did you learn from the University of California Lecture

Number Theory

Number theory is the study of the set of positive whole numbers 1,2,3,4,5,6,7,…,which are often called the set of natural numbers. We will especially want to study the relationships between different sorts of numbers. Since ancient times, people have separated the natural numbers into a variety of different types. Here are some familiar and not-so-familiar examples: odd 1,3,5,7,9,11,… even 2,4,6,8,10,… square 1,4,9,16,25,36,… cube 1,8,27,64,125,… prime 2,3,5,7,11,13,17,19,23,29,31,… composite 4,6,8,9,10,12,14,15,16,… 1 (modulo 4) 1,5,9,13,17,21,25,… 3 (modulo 4) 3,7,11,15,19,23,27,… triangular 1,3,6,10,15,21,… perfect 6,28,496,… Fibonacci 1,1,2,3,5,8,13,21,…

Learn more by looking at Chapter 2

It is important to understand Number Theory to understand Encryption particularly Asymmetrical Encryption.

FERMAT LITTLE THEOREM

Fermat’s little theorem states that if p is a prime number, then for any integer a, the number ap a is an integer multiple of p. In the notation of modular arithmetic, this is expressed as:

For example, if a = 2 and p = 7, then 27 = 128, and 128  2 = 126 = 7 18 is an integer multiple of 7.

If a is not divisible by p, Fermat’s little theorem is equivalent to the statement that ap 1 1 is an integer multiple of p, or in symbols:[1][2]

For example, if a = 2 and p = 7, then 26 = 64, and 64  1 = 63 = 7 9 is thus a multiple of 7

You can leave a response, or trackback from your own site.
Powered by WordPress | Designed by: Premium WordPress Themes | Thanks to Themes Gallery, Bromoney and Wordpress Themes