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?
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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Question
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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