Using the Sieve of Eratosthenes
How many prime numbers < 40
Using the Sieve of Eratosthenes
Remove all multiples of 2
Remove all multiples of 3
Remove all multiples of 5
| List all numbers from 2 to 40 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40 |
| 2,3, |
| 2,3, |
| 2,3, |
Since the next prime number is 7
72 = 49 > 40, we stop here
Stopping Point
We have 12 prime numbers < 40
2,3,5,7,11,13,17,19,23,29,31,37
Final Answer
This is also written as π(40) = 12
What is the Answer?
This is also written as π(40) = 12
How does the Sieve of Eratosthenes Calculator work?
Free Sieve of Eratosthenes Calculator - Using the Sieve of Eratosthenes algorithm, this will show how many prime numbers are less than a number (n).
This calculator has 1 input.
This calculator has 1 input.
What 1 formula is used for the Sieve of Eratosthenes Calculator?
π(n) = Number of prime numbers less than n
What 4 concepts are covered in the Sieve of Eratosthenes Calculator?
- algorithm
- A process to solve a problem in a set amount of time
- multiple
- the product of any quantity and an integer
- prime number
- a natural number greater than 1 that is not a product of two smaller natural numbers.
- sieve of eratosthenes
- an ancient algorithm for finding all prime numbers up to any given limit
