It is a method for finding the prime and composite numbers
Here is an example of the sieve. Firstly the definition of a prime is a number divisible only by itself and one. From that we can build this sieve, it can of course go on as far as you wish. Though with very large numbers it becomes impractical.
1 2 3 4 5 6 7 89 10 11 12 13 1415 16 17 18 19 20 2122 23 24 25 26 27
Then starting at 1 we highlight all those numbers which can be divided by numbers lower than themselves. Each number in bold is not a Prime number because a number below it can be divided into it with no remainder. Each number in italics is a prime, because, as we have said it can only be divided by 1 and itself. It should also be noted that 2 is the only even prime number, all other even numbers can be divided by 2. So if you are asked if a number is prime and it is an even number then you do not have to check because it is not.
The Sieve of Eratosthenes is a way of determining which numbers are prime.
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eratosthenes discovered the circumfrance of the world. he was known as the first successful measurement.
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He was an ancient Greek mathematician of the 2nd/3rd century BC, as well as a poet, geographer, musical composer, scholar, and astronomer. He was the first Greek to estimate the circumference and tilt of the earth. He created a map of the earth based on the knowledge available at the time. He was highly respected, and his calculations of the earth's circumference were used for hundreds of years. Today, his method for finding prime numbers from 1-100 is known as the 'Sieve of Eratosthenes' and is taught in math textbooks.
Which of the following describes how Eratosthenes discovered the approximate circumference of the earth
Eratosthenes