Algebra 1
Lesson 8.1 Laws of Exponents: Multiplying Monomials

Number Sieves
Number sieves have been used for hundreds of years in mathematics. A number sieve is a series of tests that filters out unwanted values. Mathematicians use them to generate series of numbers with special properties. We will use sieves to create lists of the powers of the positive integers. First, though, let’s look at some background information.
Internet Activity
Activity 8.1
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Sieve of Eratosthenes
The most famous number sieve was used by Eratosthenes around 200 BCD to generate the list of prime numbers.
Background on Prime Numbers
This article discusses the history of prime numbers.
Ivar Peterson’s MathTrek article on “Lucky Numbers”
This site introduces a different sequence of numbers with properties similar to those of prime numbers.
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