Python Exercises: Check if each number is prime in a list of numbers

Last update on April 19 2025 12:59:36 (UTC/GMT +8 hours)

Check If All Numbers Are Prime

Write a Python program to check if each number is prime in a given list of numbers. Return True if all numbers are prime otherwise False.

Sample Data:
([0, 3, 4, 7, 9]) -> False
([3, 5, 7, 13]) -> True
([1, 5, 3]) -> False

Sample Solution-1:

Python Code:

# Define a function named 'test' that takes a list 'nums' as a parameter
def test(nums):
    # Use a generator expression to check if each number in 'nums' is prime, and return True if all are prime
    return all(is_prime(i) for i in nums)

# Define a function named 'is_prime' that checks if a number 'n' is prime
def is_prime(n):
    # Check if 'n' is equal to 1; if so, it's not prime
    if (n == 1):
        return False
    # Check if 'n' is equal to 2; if so, it's prime
    elif (n == 2):
        return True
    else:
        # Iterate through numbers from 2 to 'n' - 1
        for x in range(2, n):
            # If 'n' is divisible by 'x', it's not prime; return False
            if (n % x == 0):
                return False
        # If no divisors were found, 'n' is prime; return True
        return True

# Define a list 'nums' containing a sequence of numbers
nums = [0, 3, 4, 7, 9]
# Print the original list of numbers
print("Original list of numbers:")
print(nums)
# Check if each number in 'nums' is prime and print the result
print("Check if each number is prime in the said list of numbers:")
print(test(nums))

# Reassign 'nums' with a different list of numbers
nums = [3, 5, 7, 13]
# Print the original list of numbers
print("\nOriginal list of numbers:")
print(nums)
# Check if each number in the new 'nums' list is prime and print the result
print("Check if each number is prime in the said list of numbers:")
print(test(nums))

# Reassign 'nums' with another list of numbers
nums = [1, 5, 3]
# Print the original list of numbers
print("\nOriginal list of numbers:")
print(nums)
# Check if each number in the new 'nums' list is prime and print the result
print("Check if each number is prime in the said list of numbers:")
print(test(nums))

Sample Output:

Original list of numbers:
[0, 3, 4, 7, 9]
Check if each number is prime in the said list of numbers:
False

Original list of numbers:
[3, 5, 7, 13]
Check if each number is prime in the said list of numbers:
True

Original list of numbers:
[1, 5, 3]
Check if each number is prime in the said list of numbers:
False

Flowchart:

Sample Solution-2:

Python Code:

def test(nums):
    result = [is_prime(i) for i in nums]
    return all(result)

def is_prime(n):
    if (n==1):
        return False
    elif (n==2):
        return True;
    else:
        for x in range(2,n):
            if(n % x==0):
                return False
        return True
    
nums = [0, 3, 4, 7, 9]
print("Original list of numbers:")
print(nums)
print("Check if each number is prime in the said list of numbers:")
print(test(nums))
nums = [3, 5, 7, 13]
print("\nOriginal list of numbers:")
print(nums)
print("Check if each number is prime in the said list of numbers:")
print(test(nums))
nums = [1, 5, 3]
print("\nOriginal list of numbers:")
print(nums)
print("Check if each number is prime in the said list of numbers:")
print(test(nums))

Sample Output:

Original list of numbers:
[0, 3, 4, 7, 9]
Check if each number is prime in the said list of numbers:
False

Original list of numbers:
[3, 5, 7, 13]
Check if each number is prime in the said list of numbers:
True

Original list of numbers:
[1, 5, 3]
Check if each number is prime in the said list of numbers:
False

Flowchart:

For more Practice: Solve these Related Problems:

Write a Python program to find all prime numbers in a given list.
Write a Python program to count the number of prime numbers in a list.
Write a Python program to check if a list contains more prime numbers than non-prime numbers.
Write a Python program to find the sum of all prime numbers in a given list.

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