How do you print a prime number from a range?

How do you print a prime number from a range?

Python Program to Print all Prime Numbers between an Interval

1. #Take the input from the user:
2. lower = int(input(“Enter lower range: “))
3. upper = int(input(“Enter upper range: “))
4. for num in range(lower,upper + 1):
5. if num > 1:
6. for i in range(2,num):
7. if (num % i) == 0:
8. break.

What is the time complexity of Sieve of Eratosthenes to print the prime numbers less than N?

The classical Sieve of Eratosthenes algorithm takes O(N log (log N)) time to find all prime numbers less than N.

Is there an algorithm for finding prime numbers?

The Sieve of Eratosthenes is a mathematical algorithm of finding prime numbers between two sets of numbers. Sieve of Eratosthenes models work by sieving or eliminating given numbers that do not meet a certain criterion. For this case, the pattern eliminates multiples of the known prime numbers.

What are the prime numbers in the sieve of Eratosthenes?

We continue this process and our final table will look like below: So the prime numbers are the unmarked ones: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47. Thanks to Krishan Kumar for providing above explanation.

Can a sieve be used to print primes?

The above approach looks good, but consider the input range [50000, 55000]. the above Sieve approach would precalculate primes from 2 to 50100. This causes a waste of memory as well as time. Below is the Segmented Sieve based approach.

How to print prime numbers in a range?

Below is the Segmented Sieve based approach. Use Simple Sieve to find all primes up to a predefined limit (square root of ‘high’ is used in below code) and store these primes in an array “prime []”. Basically we call Simple Sieve for a limit and we not only find prime numbers, but also puts them in a separate array prime [].

Can a sieve precalculate primes in a range?

The above approach looks good, but consider the input range [50000, 55000]. the above Sieve approach would precalculate primes from 2 to 50100. This causes a waste of memory as well as time.