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Consider the set of positive integers A = {9n+1: n = Z, n ≥ 0} We call an element of A prume if it is greater than 1 and has no divisors other than 1 and itself in the set A. What is the smallest number of the form 9n+ 1 greater than 1 whose factorization as a product of prume numbers is not unique? Enter O if every element in A greater than 1 has a unique factorization.

Consider the set of positive integers A = {9n+1: n = Z, n ≥ 0} We call an element of A prume if it is greater than 1 and has no divisors other than 1 and itself in the set A. What is the smallest number of the form 9n+ 1 greater than 1 whose factorization as a product of prume numbers is not unique? Enter O if every element in A greater than 1 has a unique factorization.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Intro to Elementary Number Theory homework problem.

 

Consider the set of positive integers A = {9n+1 n = Z, n ≥ 0} We call an element of A prume if it is greater than 1 and has no divisors other than 1 and itself in the set A. What is the smallest number of the form 9n+ 1 greater than 1 whose factorization as a product of prume numbers is not unique? Enter O if every element in A greater than 1 has a unique factorization.
Transcribed Image Text:Consider the set of positive integers A = {9n+1 n = Z, n ≥ 0} We call an element of A prume if it is greater than 1 and has no divisors other than 1 and itself in the set A. What is the smallest number of the form 9n+ 1 greater than 1 whose factorization as a product of prume numbers is not unique? Enter O if every element in A greater than 1 has a unique factorization.
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