PPT-4.2 Prime and Composite Numbers

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. Composite lets clients treat individual objects and compositions of objects uniformly This is called recursive composition Motivation brPage 3br Bob Tarr Design Patterns In Java The Composite Pattern The Composite Pattern The Composite Pattern Motiv 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.. Prime and Composite Numbers. Prime Number. A prime number is any whole number that has only two factors, itself and 1. . Example:. 5. It only has two factors, 5 and 1. 5 x 1= 5. What are other examples of prime numbers?. sit down. get . out homework. &quietly work on . bellringer. Solve. -4^2 (-2)^3 (-3)^4. Solve. -4^2 (-2)^3 (-3)^4. -16. -8. 81. Get papers . sit down. get . out homework. &quietly work on . Randomized Primality Testing. Carmichael Numbers. Miller-Rabin test. MA/CSSE 473 Day 08. Student questions. Fermat's Little Theorem. Implications of Fermat’s Little Theorem. What we can show and what we can’t. Primality Testing. Encryption Intro. MA/CSSE 473 . Day 09. Quiz. Announcements. Exam coverage. Student questions. Review: Randomized Primality Testing.. Miller-Rabin test. Generation of large prime numbers. There is a rule for finding any prime (. eg. the . ). . There . is a way to find out how many primes are below any number (. eg. Number of primes below 1000). . There . is no end to the prime numbers. . What’s a Prime Number?. Lots of definitions out there. My Favorite (recursive): . “an integer greater than 1, that is not divisible by any smaller primes”. Note: The above is equivalent to (but feels less restrictive than) the more standard: . 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.. Oct. __. CONNECT - . Name_____ 6__ Lesson 4 – Prime and Composite Oct. __. CONNECT - . If you can only make 1 pair of factors with the number,. 1 and itself. , then the number is called a ____________. 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 .. Maria Murphy. Central Florida Math Circle. University of Central Florida . Department of Mathematics . What is a Palindrome? . A palindrome is a word or phrase that reads the same forwards and backwards. . 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..