PPT-Data encryption with big prime numbers

Daniel FreemaN SLU Old school codes Full knowledge of the code is needed to both encrypt messages and to decrypt messages The code can only be used between a small number of trusted people. Integers and Modular Arithmetic . Fall 2010. Sukumar Ghosh. Preamble. Historically, . number theory . has been a beautiful area of . study in . pure mathematics. . However, in modern times, . number theory is very important in the . Integers and Modular Arithmetic . Spring 2014. Sukumar Ghosh. Preamble. Historically, . number theory . has been a beautiful area of . study in . pure mathematics. . However, in modern times, . number theory is very important in the . Prime numbers and factors.. Prime numbers. Prime numbers divide by themselves and one.. So… 3=3*1…or… 13=13*1. But 16 divides 16*1 and 8*2 and 4*4. So you see that prime numbers are very specific.. History, theories and applications. By Kim . Wojtowicz. Definition of a Prime Number. A Prime number is a number that has exactly 2 Distinct factors: itself and 1. . Smallest prime number is 2, it is also the only even prime number.. Remember to Silence Your Cell . Phone and Put It In Your Bag!. Definition of Prime and Composite Numbers. A natural number that has exactly two distinct (positive) factors is called a . prime. . number. Integers and Modular Arithmetic . Fall 2010. Sukumar Ghosh. Preamble. Historically, . number theory . has been a beautiful area of . study in . pure mathematics. . However, in modern times, . number theory is very important in the . by Carol Edelstein. Definition. Product. – An answer to a multiplication problem.. . 7 x 8 = 56. Product. Definition. Factor. – a number that is multiplied by another to give a product.. . 7 x 8 = 56. David Kauchak. CS52 – . Spring 2016. Admin. Assignment 6. Survey: respondents. 24 total respondents. Survey: “How is the class going?”. Survey: “How is the difficulty of the class?”. Survey: time spent per week. Note: some of the slides used in this presentation are derived from those . available for the book “Computer Security: Principles and Practice”, by Stallings and Brown, PEARSON. Prof. Murtuza Jadliwala. When Will I Ever Use Prime and Composite Numbers?. If you are baking cupcakes for a birthday party, you will be able to know if the amount you baked can be divided evenly between your friends. . Will you have leftovers? If it is a prime number, you know there will be leftovers!. Seth Futrell, Matthew Ritchie, . Dakota Perryman, Mark Thompson . (Tag’s Tots). Background History . Prime numbers have fascinated the human race for millennia with solutions to finding primes predating the times of euclid. Primes continue to amaze mathematicians and theoretical thinkers daily. Research of these fascinating numbers continues in present day with the continuing growth of the field of number theory and encryption protocols .. Encryption is the key to information security. The main idea- by using only . public. information, a sender can lock up their information in such a way that it can only be unlocked (. privately. ) by the intended recipient.. 1. Recap. Number Theory Basics. Abelian Groups. . for distinct primes p and q.  . 2. RSA Key-Generation. KeyGeneration. (1. n. ). Step 1: Pick two random n-bit primes p and q. . Step 2: Let N=. What is a composite number?. Give an example of each.. Greatest Common Factor. Mr. . Haupt. CC.2.1.8.E.1. Greatest Common Factor. The Greatest Common Factor, or GCF, is the largest number that goes in to every number given..