【光子AI / Photon.AI】FreeManus 写代码能力测试

任务

    Create a Python program that:
    1. Defines a function to check if a number is prime
    2. Finds all prime numbers between 1 and 50
    3. Calculates the sum of these prime numbers
    4. Execute the code and show the results

"""
Coding Demo - Programming task with verification
"""
import sys
import os

sys.path.insert(0, os.path.dirname(os.path.dirname(os.path.abspath(__file__))))

from freemanus import FreeManus
from freemanus.utils.logger import console, print_divider


def main():
    """Run coding demo"""
    print_divider("FreeManus Coding Demo")
    
    agent = FreeManus(max_iterations=10)
    
    # Coding task with multiple steps
    result = agent.run("""
    Create a Python program that:
    1. Defines a function to check if a number is prime
    2. Finds all prime numbers between 1 and 50
    3. Calculates the sum of these prime numbers
    4. Execute the code and show the results
    """)
    
    print_divider("Coding Demo Complete")
    
    return result


if __name__ == "__main__":
    main()

FreeManus 执行结果

====================================

Prime Numbers Between 1 and 50 - Program and Results

I have successfully created a Python program that meets all your requirements. Below is the complete solution, including the code, execution output, and a summary of the results.

📝 Complete Python Program

def is_prime_optimized(n):
    """
    Check if a number is prime using optimized trial division.
    Returns True if n is prime, False otherwise.
    """
    if n <= 1:
        return False
    if n <= 3:
        return True
    if n % 2 == 0 or n % 3 == 0:
        return False
    
    # Check divisibility up to sqrt(n)
    i = 5
    while i * i <= n:
        if n % i == 0 or n % (i + 2) == 0:
            return False
        i += 6
    return True

# Find all prime numbers between 1 and 50
primes = []
for num in range(1, 51):
    if is_prime_optimized(num):
        primes.append(num)

# Calculate the sum of prime numbers
prime_sum = sum(primes)
prime_count = len(primes)

# Display results
print(f"Primes between 1 and 50: {primes}")
print(f"Number of primes: {prime_count}")
print(f"Sum of primes: {prime_sum}")

🚀 Execution Results

When the program was executed, it produced the following output:

Primes between 1 and 50: [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47]
Number of primes: 15
Sum of primes: 328

📊 Summary of Results

Metric	Value
Prime Numbers Found	15 numbers
List of Primes	2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47
Sum of Primes	328
Range Analyzed	1 to 50

🔍 Key Features of the Solution

1. Efficient Prime Checking Function: The is_prime_optimized() function uses an optimized trial division algorithm that:

   • Checks divisibility only up to the square root of the number
   • Skips even numbers and multiples of 3 for efficiency
   • Correctly handles edge cases (numbers ≤ 1, 2, and 3)

2. Complete Implementation: The program successfully:

   • Defines the prime checking function as requested
   • Finds all prime numbers between 1 and 50
   • Calculates the sum of these prime numbers
   • Executes the code and displays the results

3. Verification: The results have been verified and match known mathematical facts about prime numbers in this range.

💡 How to Use the Program

You can copy the code above and run it in any Python environment. The program will:

1. Define the prime checking function
2. Identify all prime numbers between 1 and 50
3. Calculate and display their sum
4. Show the count of prime numbers found

The solution is complete, efficient, and ready for use or further modification if needed.

直接使用 LLM 推理模型的回复

============== Seed ======================

Step 1: Understand Your Requirements

You need a Python program that defines a prime number checking function, finds all primes between 1 and 50, calculates their sum, and displays the results clearly.

Step 2: Complete Python Program

Here is a complete, well-commented program that meets all your requirements:

import math

# 1. Define a function to check if a number is prime
def is_prime(n):
    """
    Check if a number is a prime number.
    Args:
        n (int): The number to check
    Returns:
        bool: True if n is prime, False otherwise
    """
    # Prime numbers are greater than 1
    if n <= 1:
        return False
    # 2 is the only even prime number
    if n == 2:
        return True
    # Even numbers greater than 2 are not prime
    if n % 2 == 0:
        return False
    # Check divisors from 3 up to square root of n (only odd numbers)
    for i in range(3, int(math.sqrt(n)) + 1, 2):
        if n % i == 0:
            return False
    return True

# 2. Find all prime numbers between 1 and 50
prime_numbers = []
for num in range(1, 51):
    if is_prime(num):
        prime_numbers.append(num)

# 3. Calculate the sum of these prime numbers
sum_of_primes = sum(prime_numbers)

# 4. Execute and show the results
print("Prime numbers between 1 and 50:")
print(prime_numbers)
print(f"\nSum of these prime numbers: {sum_of_primes}")

Step 3: Explanation of Key Parts

1. Prime Check Function (is_prime):

   • First, it rejects numbers ≤ 1 (not prime by definition)
   • Special case for 2 (the only even prime)
   • Rejects all other even numbers (optimization to reduce checks)
   • Only checks odd divisors up to the square root of n (since factors larger than the square root would have a corresponding factor smaller than it)

2. Finding Primes 1-50:

   • Iterates through numbers 1 to 50
   • Uses is_prime() to filter and collect primes into a list

3. Sum Calculation:

   • Uses Python’s built-in sum() function for efficient summation of the prime list

4. Output:

   • Prints the list of primes and their total sum for clear visualization

Step 4: Expected Output

When you run this code, you will see:

Prime numbers between 1 and 50:
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47]

Sum of these prime numbers: 328

Summary

1. Prime Check Logic: The is_prime function uses mathematical optimizations (checking only up to square root, skipping even numbers) to efficiently determine primality.
2. Prime Collection: We iterate 1-50 and filter primes using our function, storing results in a list.
3. Sum Calculation: The sum of primes 1-50 is 328, and the list of primes includes 15 numbers (2, 3, 5, …, 47).

============== MiniMax======================

I’ll create a Python program that checks for prime numbers, finds all primes between 1 and 50, and calculates their sum.

#!/usr/bin/env python3
"""
Prime Number Calculator
This program defines a function to check if a number is prime,
finds all prime numbers between 1 and 50,
and calculates their sum.
"""

def is_prime(n):
    """
    Check if a number is prime.

    Args:
        n: The number to check

    Returns:
        True if n is prime, False otherwise
    """
    # Prime numbers must be greater than 1
    if n <= 1:
        return False

    # Check for factors from 2 to sqrt(n)
    for i in range(2, int(n**0.5) + 1):
        if n % i == 0:
            return False

    return True


def main():
    """Main function to find and sum prime numbers between 1 and 50."""

    # Find all prime numbers between 1 and 50
    prime_numbers = []
    for num in range(1, 51):
        if is_prime(num):
            prime_numbers.append(num)

    # Calculate the sum of prime numbers
    prime_sum = sum(prime_numbers)

    # Display the results
    print("=" * 50)
    print("Prime Numbers Calculator")
    print("=" * 50)
    print(f"\nPrime numbers between 1 and 50:")
    print(f"{prime_numbers}")
    print(f"\nTotal count of prime numbers: {len(prime_numbers)}")
    print(f"Sum of prime numbers: {prime_sum}")
    print("=" * 50)


if __name__ == "__main__":
    main()

Now let me execute the program to show the results:

Python Prime Number Calculator - Results

I’ve created and executed a Python program that checks for prime numbers and calculates their sum. Here are the results:

Program Features:

1. Prime checking function - Uses an efficient algorithm that checks divisibility up to √n
2. Range search - Finds all prime numbers between 1 and 50
3. Sum calculation - Computes the total of all prime numbers found

Results:

==================================================
Prime Numbers Calculator
==================================================

Prime numbers between 1 and 50:
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47]

Total count of prime numbers: 15
Sum of prime numbers: 328
==================================================

Summary:

• Prime numbers found: 15
• All primes: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47
• Sum: 328

The program file has been saved at: /workspace/prime_calculator.py

============== Manus======================

def is_prime(n):
    """Check if a number is prime."""
    if n <= 1:
        return False
    for i in range(2, int(n**0.5) + 1):
        if n % i == 0:
            return False
    return True

def main():
    # Find all prime numbers between 1 and 50
    primes = [n for n in range(1, 51) if is_prime(n)]
    
    # Calculate the sum of these prime numbers
    prime_sum = sum(primes)
    
    # Print the results
    print(f"Prime numbers between 1 and 50: {primes}")
    print(f"Sum of these prime numbers: {prime_sum}")

if __name__ == "__main__":
    main()

============== Kimi ======================

I’ll create a Python program that meets all your requirements. Let me write and execute the code for you:

def is_prime(n):
    """
    Check if a number is prime.
    A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
    """
    if n < 2:
        return False
    if n == 2:
        return True
    if n % 2 == 0:
        return False
    
    # Check odd divisors up to sqrt(n)
    for i in range(3, int(n**0.5) + 1, 2):
        if n % i == 0:
            return False
    return True

# Find all prime numbers between 1 and 50
prime_numbers = []
for num in range(1, 51):
    if is_prime(num):
        prime_numbers.append(num)

# Calculate the sum of prime numbers
prime_sum = sum(prime_numbers)

# Display results
print("Prime numbers between 1 and 50:")
print(prime_numbers)
print(f"\nCount of prime numbers: {len(prime_numbers)}")
print(f"Sum of prime numbers: {prime_sum}")

# Let's also show the verification for a few numbers
print("\nVerification of prime numbers:")
for i in range(1, 11):
    print(f"{i} is prime: {is_prime(i)}")

Results:

Prime numbers between 1 and 50:
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47]

Count of prime numbers: 15
Sum of prime numbers: 328

Verification of prime numbers:
1 is prime: False
2 is prime: True
3 is prime: True
4 is prime: False
5 is prime: True
6 is prime: False
7 is prime: True
8 is prime: False
9 is prime: False
10 is prime: False

Summary:

• Prime numbers found: 15 primes between 1 and 50
• Sum of primes: 328
• Algorithm used: Trial division up to √n for efficiency

The program successfully identifies all prime numbers in the specified range and calculates their sum. The is_prime() function efficiently checks primality by testing divisibility only up to the square root of the number.

=============== Ernie =====================

To solve this problem, we need to create a Python program that checks for prime numbers within a specified range, calculates their sum, and displays the results.

Approach

1. Prime Check Function: Define a function is_prime(n) that checks if a number n is prime. A prime number is greater than 1 and has no divisors other than 1 and itself.
2. Find Primes in Range: Iterate through numbers from 1 to 50, using the is_prime function to identify all prime numbers in this range.
3. Sum Calculation: Sum all the identified prime numbers.
4. Output Results: Print the list of prime numbers and their sum.

Solution Code

def is_prime(n):
    if n <= 1:
        return False
    for i in range(2, int(n**0.5) + 1):
        if n % i == 0:
            return False
    return True

primes = [n for n in range(1, 51) if is_prime(n)]
total = sum(primes)

print("Prime numbers between 1 and 50 are:", primes)
print("Sum of prime numbers between 1 and 50 is:", total)

Explanation

• Prime Check Function: The is_prime function efficiently checks for primality by testing divisibility up to the square root of the number, reducing the number of checks needed.
• List Comprehension: The list comprehension [n for n in range(1, 51) if is_prime(n)] generates all prime numbers between 1 and 50 by applying the is_prime function to each number in the range.
• Sum Calculation: The sum function calculates the total of all prime numbers in the list.
• Output: The results are printed, showing the list of primes and their sum.

This approach ensures clarity and efficiency, leveraging mathematical optimizations for prime checking and Python’s built-in functions for concise and readable code.

=============== Claude =====================

Prime Numbers Program

I’ll create a Python program that finds all prime numbers between 1 and 50 and calculates their sum.

def is_prime(n):
    """
    Check if a number is prime.
    
    A prime number is a natural number greater than 1 that has no positive 
    divisors other than 1 and itself.
    
    Args:
        n: The number to check
        
    Returns:
        bool: True if the number is prime, False otherwise
    """
    # Numbers less than 2 are not prime
    if n < 2:
        return False
    
    # 2 is the only even prime number
    if n == 2:
        return True
    
    # Even numbers greater than 2 are not prime
    if n % 2 == 0:
        return False
    
    # Check odd divisors from 3 to sqrt(n)
    # We only need to check up to sqrt(n) because if n = a * b,
    # one of them must be <= sqrt(n)
    for i in range(3, int(n**0.5) + 1, 2):
        if n % i == 0:
            return False
    
    return True


def find_primes_in_range(start, end):
    """
    Find all prime numbers within a given range.
    
    Args:
        start: Beginning of range (inclusive)
        end: End of range (inclusive)
        
    Returns:
        list: All prime numbers in the range
    """
    primes = []
    for num in range(start, end + 1):
        if is_prime(num):
            primes.append(num)
    return primes


def main():
    """Main function to execute the prime number analysis."""
    
    print("=" * 50)
    print("    PRIME NUMBERS BETWEEN 1 AND 50")
    print("=" * 50)
    
    # Find all prime numbers between 1 and 50
    prime_numbers = find_primes_in_range(1, 50)
    
    # Display the prime numbers
    print(f"\n📌 Prime numbers found: {len(prime_numbers)}")
    print(f"\n📋 List of primes: {prime_numbers}")
    
    # Calculate the sum
    prime_sum = sum(prime_numbers)
    
    # Display the sum
    print(f"\n➕ Sum of all prime numbers: {prime_sum}")
    
    # Additional visualization
    print("\n" + "-" * 50)
    print("Detailed breakdown:")
    print("-" * 50)
    
    # Show the addition
    addition_str = " + ".join(map(str, prime_numbers))
    print(f"\n{addition_str} = {prime_sum}")
    
    # Show primes in a grid format
    print("\n" + "-" * 50)
    print("Prime numbers grid (1-50):")
    print("-" * 50)
    
    for i in range(1, 51):
        if is_prime(i):
            print(f"[{i:2d}]", end=" ")
        else:
            print(f"  · ", end=" ")
        if i % 10 == 0:
            print()  # New line every 10 numbers


# Execute the program
if __name__ == "__main__":
    main()

Output Results:

==================================================
    PRIME NUMBERS BETWEEN 1 AND 50
==================================================

📌 Prime numbers found: 15

📋 List of primes: [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47]

➕ Sum of all prime numbers: 328

--------------------------------------------------
Detailed breakdown:
--------------------------------------------------

2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 = 328

--------------------------------------------------
Prime numbers grid (1-50):
--------------------------------------------------
  ·  [ 2] [ 3]   ·  [ 5]   ·  [ 7]   ·    ·    ·  
[11]   ·  [13]   ·    ·    ·  [17]   ·  [19]   ·  
  ·    ·  [23]   ·    ·    ·    ·    ·  [29]   ·  
[31]   ·    ·    ·    ·    ·  [37]   ·    ·    ·  
[41]   ·  [43]   ·    ·    ·  [47]   ·    ·    ·  

Summary:

Metric	Value
Range	1 to 50
Prime Count	15
Prime Numbers	2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47
Sum	328

---

Python Program: Prime Numbers Between 1 and 50

Complete Code

def is_prime(n):
    """
    Check if a number is prime.
    
    A prime number is a natural number greater than 1 
    that has no positive divisors other than 1 and itself.
    """
    # Numbers less than or equal to 1 are not prime
    if n <= 1:
        return False
    
    # 2 is the only even prime number
    if n == 2:
        return True
    
    # All other even numbers are not prime
    if n % 2 == 0:
        return False
    
    # Check for odd divisors from 3 to square root of n
    for i in range(3, int(n**0.5) + 1, 2):
        if n % i == 0:
            return False
    
    return True


# ============================================
# Main Program Execution
# ============================================

print("=" * 50)
print("   PRIME NUMBERS FINDER (1 to 50)")
print("=" * 50)

# Step 1: Find all prime numbers between 1 and 50
prime_numbers = []

print("\nChecking each number from 1 to 50...\n")

for num in range(1, 51):
    if is_prime(num):
        prime_numbers.append(num)
        print(f"  ✓ {num} is PRIME")

# Step 2: Display the results
print("\n" + "-" * 50)
print("RESULTS:")
print("-" * 50)

print(f"\n📋 All prime numbers between 1 and 50:")
print(f"   {prime_numbers}")

# Step 3: Calculate and display the sum
prime_sum = sum(prime_numbers)
prime_count = len(prime_numbers)

print(f"\n📊 Statistics:")
print(f"   • Total count of primes: {prime_count}")
print(f"   • Sum of all primes:     {prime_sum}")

# Bonus: Show the addition
print(f"\n📝 Calculation breakdown:")
print(f"   {' + '.join(map(str, prime_numbers))}")
print(f"   = {prime_sum}")

print("\n" + "=" * 50)

Output

==================================================
   PRIME NUMBERS FINDER (1 to 50)
==================================================

Checking each number from 1 to 50...

  ✓ 2 is PRIME
  ✓ 3 is PRIME
  ✓ 5 is PRIME
  ✓ 7 is PRIME
  ✓ 11 is PRIME
  ✓ 13 is PRIME
  ✓ 17 is PRIME
  ✓ 19 is PRIME
  ✓ 23 is PRIME
  ✓ 29 is PRIME
  ✓ 31 is PRIME
  ✓ 37 is PRIME
  ✓ 41 is PRIME
  ✓ 43 is PRIME
  ✓ 47 is PRIME

--------------------------------------------------
RESULTS:
--------------------------------------------------

📋 All prime numbers between 1 and 50:
   [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47]

📊 Statistics:
   • Total count of primes: 15
   • Sum of all primes:     328

📝 Calculation breakdown:
   2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47
   = 328

==================================================

Summary

Item	Value
Range	1 to 50
Prime Numbers Found	15
Prime Numbers	2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47
Sum of Primes	328

How the Prime Check Works

┌─────────────────────────────────────────────────┐
│           is_prime(n) Algorithm                 │
├─────────────────────────────────────────────────┤
│  1. If n ≤ 1        → NOT PRIME                │
│  2. If n = 2        → PRIME (only even prime)  │
│  3. If n is even    → NOT PRIME                │
│  4. Check divisors from 3 to √n (odd only)     │
│     - If any divides n → NOT PRIME             │
│     - Otherwise        → PRIME                 │
└─────────────────────────────────────────────────┘

=============== Gemini=====================

Here is the Python program that performs the requested tasks.

def is_prime(n):
    """
    Function to check if a number is prime.
    Returns True if n is prime, False otherwise.
    """
    # Numbers less than or equal to 1 are not prime
    if n <= 1:
        return False
    
    # Check for factors from 2 up to the square root of n
    # We use int(n**0.5) + 1 to include the square root in the range
    for i in range(2, int(n**0.5) + 1):
        if n % i == 0:
            return False
            
    return True

# Main execution block
def main():
    primes_list = []

    # Find all prime numbers between 1 and 50
    # range(1, 51) includes numbers from 1 to 50
    for num in range(1, 51):
        if is_prime(num):
            primes_list.append(num)

    # Calculate the sum of these prime numbers
    total_sum = sum(primes_list)

    # Show the results
    print(f"Prime numbers between 1 and 50: {primes_list}")
    print(f"Sum of these prime numbers: {total_sum}")

if __name__ == "__main__":
    main()

Execution Results

When you run the code above, it will produce the following output:

Prime numbers between 1 and 50: [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47]
Sum of these prime numbers: 328

=============== XiaoMi=====================

def is_prime(n):
    """Check if a number is prime."""
    if n < 2:
        return False
    if n == 2:
        return True
    if n % 2 == 0:
        return False
    # Check odd factors up to the square root
    for i in range(3, int(n**0.5) + 1, 2):
        if n % i == 0:
            return False
    return True

# Find all prime numbers between 1 and 50
primes = [num for num in range(1, 51) if is_prime(num)]

# Calculate the sum of these primes
prime_sum = sum(primes)

# Display results
print("Prime numbers between 1 and 50:")
print(primes)
print(f"\nSum of prime numbers: {prime_sum}")

Results:

Prime numbers between 1 and 50:
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47]

Sum of prime numbers: 328

=============== DeepSeek=====================

Here’s a Python program that meets all your requirements:

def is_prime(n):
    """Check if a number is prime."""
    if n <= 1:
        return False
    if n == 2:
        return True
    if n % 2 == 0:
        return False
    
    # Check for factors from 3 to the square root of n
    for i in range(3, int(n**0.5) + 1, 2):
        if n % i == 0:
            return False
    return True


def find_primes_in_range(start, end):
    """Find all prime numbers between start and end (inclusive)."""
    primes = []
    for num in range(start, end + 1):
        if is_prime(num):
            primes.append(num)
    return primes


def calculate_sum(numbers):
    """Calculate the sum of a list of numbers."""
    return sum(numbers)


# Main execution
if __name__ == "__main__":
    # Define the range
    start_num = 1
    end_num = 50
    
    # Find prime numbers between 1 and 50
    prime_numbers = find_primes_in_range(start_num, end_num)
    
    # Calculate the sum of prime numbers
    prime_sum = calculate_sum(prime_numbers)
    
    # Display results
    print(f"Prime numbers between {start_num} and {end_num}:")
    print(prime_numbers)
    print(f"\nNumber of prime numbers found: {len(prime_numbers)}")
    print(f"Sum of all prime numbers: {prime_sum}")
    
    # Show the calculation breakdown (optional)
    print(f"\nCalculation breakdown: {' + '.join(map(str, prime_numbers))} = {prime_sum}")

Output:

Prime numbers between 1 and 50:
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47]

Number of prime numbers found: 15
Sum of all prime numbers: 328

Calculation breakdown: 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 = 328

Key Features of the Program:

1. Prime Check Function (is_prime):

   • Handles edge cases (numbers ≤ 1, even numbers)
   • Only checks odd divisors up to √n for efficiency
   • Returns True or False

2. Prime Finder Function (find_primes_in_range):

   • Iterates through the specified range
   • Uses the is_prime function to identify primes
   • Returns a list of prime numbers

3. Sum Calculator (calculate_sum):

   • Uses Python’s built-in sum() function
   • Could easily be replaced with manual summation if needed

4. Main Execution:

   • Defines the range (1-50)
   • Calls the functions in logical order
   • Displays clear results with formatting
   • Includes an optional calculation breakdown

5. Efficiency Considerations:

   • The prime check only tests up to the square root of n
   • Only odd numbers are tested after 2
   • The program uses modular functions for reusability

The program is structured to be clear, efficient, and easily modifiable for different ranges or additional functionality.

================ Qwen====================

Here’s the Python program that meets all the specified requirements:

import math

def is_prime(n):
    """Check if a number is prime."""
    if n <= 1:
        return False
    if n == 2:
        return True
    if n % 2 == 0:
        return False
    # Check odd factors up to sqrt(n)
    for i in range(3, int(math.sqrt(n)) + 1, 2):
        if n % i == 0:
            return False
    return True

# Find all primes between 1 and 50
primes = [num for num in range(1, 51) if is_prime(num)]

# Calculate the sum of prime numbers
prime_sum = sum(primes)

# Display results
print("Prime numbers between 1 and 50:", primes)
print("Sum of these prime numbers:", prime_sum)

Output when executed:

Prime numbers between 1 and 50: [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47]
Sum of these prime numbers: 328

Explanation:

1. The is_prime() function efficiently checks primality by:
   • Handling edge cases (≤1, even numbers)
   • Only checking odd divisors up to √n
2. The list comprehension finds all primes between 1-50 (inclusive)
3. The sum is calculated using Python’s built-in sum() function
4. The output shows both the complete list of primes and their total sum

The program correctly identifies all 15 prime numbers between 1 and 50 (with 2 being the only even prime) and calculates their sum as 328.

================ ChatGLM====================

Here is the Python program that performs the requested tasks.

def is_prime(number):
    """
    Checks if a number is prime.
    Returns True if prime, False otherwise.
    """
    if number <= 1:
        return False
    # Check for factors from 2 up to the square root of the number
    for i in range(2, int(number ** 0.5) + 1):
        if number % i == 0:
            return False
    return True

def main():
    primes = []
    
    # Find all prime numbers between 1 and 50
    for num in range(1, 51):
        if is_prime(num):
            primes.append(num)
    
    # Calculate the sum of these prime numbers
    total_sum = sum(primes)
    
    # Show the results
    print(f"Prime numbers between 1 and 50: {primes}")
    print(f"Sum of these prime numbers: {total_sum}")

if __name__ == "__main__":
    main()

Output:

When you execute the code above, the results will be:

Prime numbers between 1 and 50: [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47]
Sum of these prime numbers: 328

================ ChatGPT ====================

Below is a complete Python solution that satisfies all four requirements, followed by the actual execution results.

---

Python Program

# 1. Define a function to check if a number is prime
def is_prime(n: int) -> bool:
    if n <= 1:
        return False
    if n <= 3:
        return True
    if n % 2 == 0 or n % 3 == 0:
        return False
    i = 5
    while i * i <= n:
        if n % i == 0 or n % (i + 2) == 0:
            return False
        i += 6
    return True


# 2. Find all prime numbers between 1 and 50
primes_between_1_and_50 = [n for n in range(1, 51) if is_prime(n)]

# 3. Calculate the sum of these prime numbers
sum_of_primes = sum(primes_between_1_and_50)

# 4. Print results
print("Prime numbers between 1 and 50:", primes_between_1_and_50)
print("Sum of prime numbers:", sum_of_primes)

---

Execution Results

Prime numbers between 1 and 50:

[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47]

Sum of prime numbers:

328

---

If you would like, I can also provide:

• A more beginner-friendly version
• A highly optimized version using a sieve
• Time complexity analysis
• Unit tests for the is_prime function