The sum of the first four primes is

### Concept & Logic This problem tests your basic knowledge of the sequence of prime numbers. You must accurately identify the first four primes and compute their sum. ### Step-by-Step Solution Identify the first four prime numbers in sequential order. A prime number is a natural number $>1$ with exactly two divisors. * 1st prime: $2$ (The only even prime) * 2nd prime: $3$ * 3rd prime: $5$ * 4th prime: $7$ Now, add these numbers together: $$Sum = 2 + 3 + 5 + 7$$ $$Sum = 17$$ ### Exam Strategy & Shortcut This is a pure arithmetic calculation. The fastest way is to group the numbers making ten: $(3 + 7) = 10$, then add the remaining $(10 + 5 + 2) = 17$. ### Common Pitfall The single most common error is including $1$ in the list of primes. If you mistakenly count $1$ as a prime, your list would be $1, 2, 3, 5$, and your sum would be $11$ (Option B). Remember, $1$ is neither prime nor composite. ### Final Answer Therefore, the correct answer is 17.