What is the smallest odd numberyou can find that is the sum of three different prime numbers?
3,5,7
To find the smallest odd number that is the sum of three different prime numbers, we need to start by listing some prime numbers. Prime numbers are those that are divisible only by 1 and themselves. Let's start listing prime numbers:
2, 3, 5, 7, 11, 13, 17, ...
We need to find a sum of three different prime numbers. To minimize the total, we should use the smallest prime numbers possible. However, we also need the sum to be odd, so we need to choose prime numbers that will result in an odd sum.
To get an odd sum, we can start with the smallest odd prime number, which is 3. Next, we need to consider prime numbers greater than 3 that will result in an odd sum when added to 3. The next smallest odd prime is 5.
So far, we have 3 + 5 = 8, but 8 is an even number, not odd. Therefore, we need to choose one more prime number. The next smallest odd prime number is 7.
Adding 7 to the sum, we get 3 + 5 + 7 = 15. 15 is an odd number.
Therefore, the smallest odd number that can be obtained as the sum of three different prime numbers is 15.
Note that we could have chosen different prime numbers that would give us a larger odd sum, but we were looking for the smallest odd number.