Prime Number Series In Python With Algorithm

Contents

Python Program to Check Prime Number

Aim: To generate prime number series up to n

Algorithm to Find Prime Numbers

step: Start
step: Declare a lower variable and read and read the value.
1. lower = int(input(“enter lower number”)
step: Declare a higher variable and read and read value.
1. higher = int(input(“enter higher number”)

step: In n for loop take the range of values from lower to higher.
1. for num in range(lower, higher +1)
step: Check for the condition.
1. if num > 1
step: If the condition is true go to the I for loop otherwise take the next iteration.
1. for i in range( 2, num):

step: In I for loop check the condition n % i = 0
1. if ( num % i) == 0:
step: if the condition is true then break the loop.

step: Else print(num)
step: end.

Source Code: Prime Number Program in Python Print 1 to 100

lower = int(input("enter lower range:"))
higher = int(input("enter higher range:"))
for num in range(lower,higher + 1):
   # prime numbers are greater than 1
  if num > 1:
    for i in range(2,num):
        if (num % i) == 0:
            break
    else:
        print(f'prime_numbers from {lower} to {higher} are:',num)

The output of prime number

C:\Users\Pramod\PycharmProjects\pythonProject\venv\Scripts\python.exe C:/Users/Pramod/PycharmProjects/pythonProject/main.py
enter lower range:0
enter higher range:100
Prime_numbers from 0 to 100 are: 2
Prime_numbers from 0 to 100 are: 3
Prime_numbers from 0 to 100 are: 5
Prime_numbers from 0 to 100 are: 7
Prime_numbers from 0 to 100 are: 11
Prime_numbers from 0 to 100 are: 13
Prime_numbers from 0 to 100 are: 17
Prime_numbers from 0 to 100 are: 19
Prime_numbers from 0 to 100 are: 23
Prime_numbers from 0 to 100 are: 29
Prime_numbers from 0 to 100 are: 31
Prime_numbers from 0 to 100 are: 37
Prime_numbers from 0 to 100 are: 41
Prime_numbers from 0 to 100 are: 43
Prime_numbers from 0 to 100 are: 47
Prime_numbers from 0 to 100 are: 53
Prime_numbers from 0 to 100 are: 59
Prime_numbers from 0 to 100 are: 61
Prime_numbers from 0 to 100 are: 67
Prime_numbers from 0 to 100 are: 71
Prime_numbers from 0 to 100 are: 73
Prime_numbers from 0 to 100 are: 79
Prime_numbers from 0 to 100 are: 83
Prime_numbers from 0 to 100 are: 89
Prime_numbers from 0 to 100 are: 97

Process finished with exit code 0

FQA: To check the prime number

How do you check if a number is prime in Python?

To check that we have to import sympy package and then use sympy.isprime(num) and the output will be True or False.
Example:
import sympy
print(sympy.isprime(5))

How do you generate a random prime number?

To generate a random prime number we have to import sympy package.
Syntax:
sympy.randprime(starting_num, end_num)
Example:
import sympy
print(sympy.randprime(0, 100))

Is there a prime number function in Python?

yes, there is a function for a prime number in python. For that, you have to import a package called sympy.
Example:
import sympy
print(list(sympy.primerange(0, 100)))
Output: [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97]

How do you write a prime number program in Python?

There may be a different way but I will explain to you two ways: 1st way is by using a loop statement and passing through a condition that is explained and 2nd way is by using a function. It’s a very simple way just we have to import a package called sympy and then we have to use function i.e. list(sympy.primerange(0, 100))

How many prime numbers are there between 1 and 1000?

There are twenty-five prime numbers from 1 to 100 and those are [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97]

Prime Number Series in Python with Algorithm