In the Sieve of Eratosthenes for numbers less than 100, explain why, after crossing out al the mutiples of 2,3,5, and 7, the remaining numbers are prime Choose the oomrect answer below. OA The Sieve of Eratosthenes is meant to find prime numbers, twill not identify composite numbers. OB. The product 2-3-5-7 is greater than 100, so the Sieve will have crossed out all of the composite numbers less than 100. OC. The Sieve of Eratosthenes is used to find large prime numbers, its results will be inconsistent when used on small numbers, such as for the numbers less than 100. OD. The next prime number aher 7 is 11. The smallest composite number which does not have 2, 3, 5, or 7 as a factor is 11, which is greater than 100.
In the Sieve of Eratosthenes for numbers less than 100, explain why, after crossing out al the mutiples of 2,3,5, and 7, the remaining numbers are prime Choose the oomrect answer below. OA The Sieve of Eratosthenes is meant to find prime numbers, twill not identify composite numbers. OB. The product 2-3-5-7 is greater than 100, so the Sieve will have crossed out all of the composite numbers less than 100. OC. The Sieve of Eratosthenes is used to find large prime numbers, its results will be inconsistent when used on small numbers, such as for the numbers less than 100. OD. The next prime number aher 7 is 11. The smallest composite number which does not have 2, 3, 5, or 7 as a factor is 11, which is greater than 100.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.1: Counting
Problem 92E: DISCUSS: Complementary Combinations Without performing any calculations, explain in words Why the...
Related questions
Question
Transcribed Image Text:In the Sieve of Eratosthenes for numbers less than 100, explain why, after crossing out all the multiples of 2, 3, 5, and 7, the remaining numbers are prime.
Choose the oorrect answer below.
OA The Sieve of Eratosthenes is meant to find prime numbers, R wil not identify composite numbers.
OB. The product 2.3.5.7 is greater than 100, so the Sieve will have crossed out all of the composite numbers less than 100.
Oc. The Sieve of Eratosthenes is used to find large prime numbers, Its results will be inconsistent when used on small numbers, such as for the numbers less than 100.
O D. The next prime number after 7 is 11. The smallest composite number which does not have 2, 3, 5, or 7 as a factor is 11, which is greater than 100.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL