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Write out the numbers 1 to 50 in 5 rows. Cross out 1. Start at 2 and cross out multiples of 2. That would eliminate all the rest of the even numbers. Go to the next uncrossed-out number (3) and cross out all of its multiples. Some of them will already be crossed out. You can stop by the time you get to eight. All of the uncrossed-out numbers are prime.

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Q: How will you use the sieve of Eratosthenes to get all the numbers less than 50?
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What is the sieve of eratosthenes to find prime numbers less than 100?

To find prime numbers less than 100, the sieve of eratosthenes filters out 1 and all multiples of 2, 3, 5, and 7. All remaining numbers less than 100 are primes.


What is an iterative procedure which determines all the primes less than a given number?

the Sieve of Eratosthenes


How do you know that any remaining number less than 100 must be a prime number?

If you mean, using the Sieve of Eratosthenes, you only need to check off prime numbers that are lower than the square root of the highest number - in this case, the square root of 100, which is 10 - so the prime numbers you need to check off are 2, 3, 5, 7.


Why is the square root the key to the Sieve of Eratosthenes and finding prime numbers?

The Sieve of Eratosthenes is a method used to find all prime numbers up to a given limit. The square root is utilized in this sieve because if a number has a factor larger than its square root, then it must also have a corresponding factor smaller than its square root. Therefore, by only checking numbers up to the square root of the given limit, we can effectively identify all the prime numbers.


What are numbers less than zero called if numbers less than one are decimals?

Numbers less than zero are "negative numbers".


Could you extend the sieve to find prime numbers greater than 100?

You can extend it indefinitely, depending on your patience!


Are negative numbers greater than less than or equal to positive numbers?

Less than.


How many numbers are less than 900?

There are 899 numbers that are less than 900


The prime numbers that are less than 14?

The prime numbers that are less than 14 are: 2,3,5,7,11,13.


What prime numbers less than 150?

There are 35 prime numbers less than 150.


How many prime numbers are there less than 1000000000?

999,999,999 numbers less than 1,000,000,000.


What is less than 3.25?

Many numbers are less than 3.25. Less means that the numbers are smaller.