CHAPTER 1 Working with whole numbers In this chapter you will revise earlier work on: • • • • addition and subtraction without a calculator multiplication and division…

Slide 1The Fundamental Theorem of Arithmetic Slide 2 Primes p > 1 is prime if the only positive factors are 1 and p if p is not prime it is composite The Fundamental Theorem…

Slide 1Navigating Your Casio Calculator Dr J Frost ([email protected]) www.drfrostmaths.com Last modified: 26 th November 2013 Slide 2 For details on statistical…

REAL NUMBERS 1 MATHEMATICS COMPENDIUM REAL NUMBERS Points to Remember : 1. Euclid’s division lemma : Given positive integers a and b, there exists whole numbers q and r…

Slide 1Chapter 3 Public Key Cryptography and RSA Lecture slides by Lawrie Brown Modifications by Nguyen Cao Dat Slide 2 BK TP.HCM Prime Numbers  prime numbers only have…

Slide 1 Chapter 8 – Introduction to Number Theory Prime Numbers  prime numbers only have divisors of 1 and self they cannot be written as a product of other numbers…

Slide 1 Topic 5: Number Theory Dr J Frost ([email protected]) Slide 2 Slide guidance Key to question types: SMCSenior Maths Challenge BMOBritish Maths Olympiad…

Slide 1 Module :MA3036NI Number theory and Public key Encryption Lecture Week 6 Slide 2 2 Prime Numbers Prime numbers only have divisors of 1 and self – they cannot be…

Slide 1 Slide 2  Real numbers consist of all the rational and irrational numbers.  The real number system has many subsets:  Natural Numbers  Whole Numbers …

Challenging Assumptions in the Use of Heuristic Search Techniques in Cryptography John A Clark Dept. of Computer Science University of York, UK [email protected] 24.07.2001…