suppose that E is the set that contains 1 and the even natural numbers, or E = {1,2,4,6,8,10,12,14,...)  Answer these questions about E  a. Why is 6 a prime in E  b. What are the first 5 prime numbers in E  c. Do you see a patern for the prime number in E? If so what do you see.  d. Do you see a pattern for compsite numbers in E. If so what do you see.  e. Does the formula of E=2e-2 generate primes in E?  f. Are there infinitly many primes in E?  g. What formula generate all composite numbers in E? h. If e is an element of E, can 2e be a prime number in E? Why?  i. Are there any primes in E?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 18E
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suppose that E is the set that contains 1 and the even natural numbers, or E = {1,2,4,6,8,10,12,14,...) 

Answer these questions about E 

a. Why is 6 a prime in E 

b. What are the first 5 prime numbers in E 

c. Do you see a patern for the prime number in E? If so what do you see. 

d. Do you see a pattern for compsite numbers in E. If so what do you see. 

e. Does the formula of E=2e-2 generate primes in E? 

f. Are there infinitly many primes in E? 

g. What formula generate all composite numbers in E?

h. If e is an element of E, can 2e be a prime number in E? Why? 

i. Are there any primes in E? 

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