2024 AMC 10A Problem 3What is the sum of the digits of the smallest prime that can be written as a sum of 555 distinct primes?(A) 5\text{(A)}\;5(A)5(B) 7\text{(B)}\;7(B)7(C) 8\text{(C)}\;8(C)8(D) 10\text{(D)}\;10(D)10(E) 13\text{(E)}\;13(E)13Check AnswerYour answer:ABCDECheckHints (5)Hint 1Sum of 555 odd numbers is odd.Hint 2222 is not in the 555 distinct primes.Hint 33+5+7+11+13=393+5+7+11+13=393+5+7+11+13=39Hint 4Try to increase the largest prime.Hint 53+5+7+11+17=433+5+7+11+17=433+5+7+11+17=43⇒Ans=4+3=7\Rightarrow\text{Ans}=4+3=7⇒Ans=4+3=7Final Answer(B) 7