Express 30 as the sum of two odd primes.

Answer

To express 30 as the sum of two odd primes, we can follow these steps:

### Step 1: Understand Odd Prime Numbers
Odd prime numbers are those numbers that are both odd and prime. An odd number is not divisible by 2, and a prime number has exactly two distinct positive divisors: 1 and itself.

### Step 2: Identify Odd Prime Numbers
The first few odd prime numbers are:
- 3
- 5
- 7
- 11
- 13
- 17
- 19
- 23
- 29

### Step 3: Find Two Odd Primes that Sum to 30
We need to find two numbers from our list that add up to 30. We can start by checking pairs of odd primes:

- 3 + 27 (27 is not prime)
- 5 + 25 (25 is not prime)
- 7 + 23 (23 is prime)
- 11 + 19 (19 is prime)
- 13 + 17 (17 is prime)

### Step 4: Confirm the Pairs
Now we will confirm that the pairs we found are both odd and prime:
1. **7 and 23**:
- 7 is prime (factors: 1, 7)
- 23 is prime (factors: 1, 23)
- Sum: 7 + 23 = 30

2. **11 and 19**:
- 11 is prime (factors: 1, 11)
- 19 is prime (factors: 1, 19)
- Sum: 11 + 19 = 30

3. **13 and 17**:
- 13 is prime (factors: 1, 13)
- 17 is prime (factors: 1, 17)
- Sum: 13 + 17 = 30

### Conclusion
Thus, we can express 30 as the sum of two odd primes in multiple ways:
- 7 + 23
- 11 + 19
- 13 + 17

### Final Answer
We can express 30 as the sum of two odd primes: **13 and 17**.

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