How can we filter out numbers less than 2 in a number sequence to find prime numbers?(1 point) Responses Our code needs to throw an error if numbers less than 2 are given. Our code needs to throw an error if numbers less than 2 are given. We can test numbers less than 2 by checking if it is divisible by 2. We can test numbers less than 2 by checking if it is divisible by 2. We can have a conditional check to filter out numbers less than 2. We can have a conditional check to filter out numbers less than 2. We can have a predefined list of all prime numbers and check if the given number is inside that list.
The correct response is: We can have a conditional check to filter out numbers less than 2.
To filter out numbers less than 2 in a number sequence to find prime numbers, you can use a conditional check. Here's the explanation of how to do it:
1. Start by iterating through the number sequence.
2. For each number in the sequence, check if it is less than 2.
3. If a number is less than 2, it cannot be a prime number, so you can exclude it from further processing.
4. If a number is larger than or equal to 2, continue with the next steps to determine if it is prime.
5. To check if a number is prime, you can test if it is divisible by any number from 2 up to its square root (rounded up to the nearest integer).
6. If the number is divisible by any of these numbers, it is not prime and should also be excluded.
7. If the number is not divisible by any of these numbers, it is a prime number and can be included in the filtered list of prime numbers.
By following these steps, you can filter out numbers less than 2 and identify the prime numbers in the sequence.
To filter out numbers less than 2 in a number sequence and find prime numbers, you can follow these steps:
1. Start by throwing an error if numbers less than 2 are given. Prime numbers are defined as numbers greater than 1.
2. Iterate through each number in the sequence.
3. Perform a conditional check to filter out numbers less than 2. You can do this by using an if statement to check if the number is less than 2 and continue to the next iteration.
4. For each number greater than or equal to 2, you can test if it is divisible by any number between 2 and the square root of the number. If it is divisible by any of these numbers, it is not a prime number.
5. If the number is not divisible by any of the numbers in the range mentioned above, it is a prime number.
Here is a code example in Python:
```python
import math
def is_prime(number):
if number < 2:
raise ValueError("Number should be greater than or equal to 2.")
for i in range(2, int(math.sqrt(number)) + 1):
if number % i == 0:
return False
return True
# Example usage
sequence = [2, 4, 7, 9, 11, 15, 17, 23]
prime_numbers = []
for number in sequence:
try:
if is_prime(number):
prime_numbers.append(number)
except ValueError as e:
print(str(e))
print("Prime numbers:", prime_numbers)
```
In the above code, the `is_prime` function checks if a given number is prime using the steps described above. The `sequence` list contains the numbers you want to filter. The program iterates through each number in the sequence and checks if it is a prime number. The prime numbers are stored in the `prime_numbers` list. If a number less than 2 is encountered, a `ValueError` is raised. Finally, the program prints the prime numbers.