'Mersenne primes' diaporamas de présentation

IISc Quiz Number 8

IISc Quiz Number 8. Format. 30 questions (Modified) Infinite Bounce. Reverse after question 15 (or approx. midway). 3 Short Visual Connects (at the start, middle and end).

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Primes and Greatest Common Divisors

Primes and Greatest Common Divisors. Section 4.3. Section Summary. Prime Numbers and their Properties Conjectures and Open Problems About Primes Greatest Common Divisors and Least Common Multiples The Euclidian Algorithm gcds as Linear Combinations. Primes.

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Information Security -- Part II Public-Key Encryption and Hash Functions

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Information Security -- Part II Asymmetric Ciphers

Information Security -- Part II Asymmetric Ciphers. Frank Yeong-Sung Lin Information Management Department National Taiwan University. Outline. Introduction to information security Introduction to public-key cryptosystems RSA Diffie-Hellman key exchange ECC Mutual trust Key management

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CompSci 102 Discrete Math for Computer Science

CompSci 102 Discrete Math for Computer Science. February 23, 2012 Prof. Rodger. Announcements. No Recitation tomorrow or next Friday Recitations start back after spring break. Chap 4.3 - Primes.

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Mathematical Ideas that Shaped the World

Mathematical Ideas that Shaped the World. Prime numbers. Plan for this class . Why are prime numbers interesting? What is the Prime Number Theorem? How could prime numbers win you a million dollars? How does public key cryptography work? What food did you bring for the maths picnic?!.

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Integers and Division

Integers and Division. CS/APMA 202 Rosen section 2.4 Aaron Bloomfield. Rosen, chapter 2. We are only doing 2 or 3 of the sections in chapter 2 2.4: integers and division 2.6: applications of number theory And only parts of that section 2.7: matrices (maybe). Quick survey.

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Discrete Mathematics: Number Theory (2)

Discrete Mathematics: Number Theory (2). Section Summary. Prime Numbers and their Properties Conjectures and Open Problems About Primes Greatest Common Divisors (GCD) Least Common Multiples (LCM) The Euclidian Algorithm The Extended Euclidian Algorithm. Primes.

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Chapter 5

Chapter 5. Number Theory. Chapter 5: Number Theory. 5.1 Prime and Composite Numbers 5.2 Large Prime Numbers 5.3 Selected Topics From Number Theory 5.4 Greatest Common Factor and Least Common Multiple 5.5 The Fibonacci Sequence and the Golden Ratio. Section 5-2.

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Section 5-2

Section 5-2. Large Prime Numbers. The Infinitude of Primes. There is no largest prime number. Euclid proved this around 300 B.C. The Search for Large Primes. Primes are the basis for modern cryptography systems, or secret codes. Mathematicians continue to search for larger and larger primes.

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