### Component 1 (Lines 1-7)
- **Description:** Planning the overall approach to solve the problem.
- **Plan:** Lines 1-7
- **Prompt:** Plan the steps needed to solve the problem of finding other positive integers that are products of exactly three distinct primes with a specific sum.
- **Execution:** Lines not found
- **Comment:** Lines not found

### Component 2 (Lines 8-9)
- **Description:** Reversing the digits of 2005 to get 5002.
- **Plan:** Lines 8-9
- **Prompt:** Reverse the digits of 2005 to find the number 5002.
- **Execution:** Lines not found
- **Comment:** Lines not found

### Component 3 (Lines 10-62)
- **Description:** Factorizing 5002 into three distinct primes.
- **Plan:** Lines 10-12
- **Prompt:** Factorize 5002 into its prime components.
- **Execution:** Lines 13-62
- **Comment:** Lines 62-62

### Component 4 (Lines 63-65)
- **Description:** Calculating the sum of the prime factors of 5002.
- **Plan:** Lines 63-64
- **Prompt:** Calculate the sum of the prime factors of 5002.
- **Execution:** Lines 65-65
- **Comment:** Lines not found

### Component 5 (Lines 66-83)
- **Description:** Planning the approach to find other numbers that are products of three distinct primes with the same sum.
- **Plan:** Lines 66-67
- **Prompt:** Plan how to find other numbers that are products of three distinct primes with the same sum as the prime factors of 5002.
- **Execution:** Lines 68-83
- **Comment:** Lines not found

### Component 6 (Lines 84-108)
- **Description:** Planning the detailed steps to find pairs of primes that sum to 102.
- **Plan:** Lines 84-88
- **Prompt:** Plan the detailed steps to find pairs of primes that sum to 102.
- **Execution:** Lines 89-108
- **Comment:** Lines not found

### Component 7 (Lines 109-125)
- **Description:** Listing all primes up to 102.
- **Plan:** Lines 109-110
- **Prompt:** List all prime numbers up to 102.
- **Execution:** Lines 111-125
- **Comment:** Lines not found

### Component 8 (Lines 126-178)
- **Description:** Finding pairs of primes that sum to 102.
- **Plan:** Lines 126-127
- **Prompt:** Find pairs of primes (p, q) such that p + q = 102.
- **Execution:** Lines 128-178
- **Comment:** Lines not found

### Component 9 (Lines 179-180)
- **Description:** Identifying the number of valid prime pairs.
- **Plan:** Lines 179-179
- **Prompt:** Count the number of valid prime pairs found.
- **Execution:** Lines 180-180
- **Comment:** Lines not found

### Component 10 (Lines 181-202)
- **Description:** Calculating the products of the valid prime pairs.
- **Plan:** Lines 181-182
- **Prompt:** Calculate the product 2*p*q for each valid prime pair (p, q).
- **Execution:** Lines 183-202
- **Comment:** Lines 200-201

### Component 11 (Lines 203-222)
- **Description:** Verifying the calculations of the products.
- **Plan:** Lines 203-204
- **Prompt:** Verify the calculations of the products 2*p*q for each valid prime pair.
- **Execution:** Lines 205-220
- **Comment:** Lines 221-222

### Component 12 (Lines 223-241)
- **Description:** Concluding the solution by confirming the number of valid products.
- **Plan:** Lines 223-223
- **Prompt:** Conclude the solution by confirming the number of valid products excluding 5002.
- **Execution:** Lines 224-240
- **Comment:** Lines 241-241

### Component 13 (Lines 242-243)
- **Description:** Presenting the final answer.
- **Plan:** Lines 242-242
- **Prompt:** Present the final answer in a boxed format.
- **Execution:** Lines 243-243
- **Comment:** Lines not found