A palindrome is a number that reads the same front-to-back as it does back-to-front (e.g. 202, 575, 1991, etc.) p is the smallest integer greater than 100 that is both a prime and a palindrome. What is the sum of the digits of p? Choose the most appropriate option:	A) 3	B) 4	C) 5	D) 6	E) 7
Given that p is smallest integer greater than 200 - assume there is a 3-digit that satisfies the above conditions. Let the number be xyx ; question asks us the values of 2x+y   We can straight away cross out options A) and D) - sum of digits 3 or 6 implies it is divisible by 3 ---&gt; we know that p is a prime number   5oming to option B) 2x + y = 4 --&gt; only x = 2 and y = 0 satisfy this equation ( x&gt; 2 will never give sum of digits = 4) ; but 202 is divisible by 2 ; we know that p is a prime number   Similarly option 5) 2x+y = 5 --&gt; only x = 2 and y = 1 satisfy this equation ( x&gt; 2 will never give sum of digits = 5) ; but 212 is divisible by 2 ; we know that p is a prime number   Therefore answer option should be E ---&gt; can be verified by taking 2x+y = 7 ---&gt; x = 3 and y = 1 ; gives 313   5
<result>C</result>
A palindrome is a number that reads the same front-to-back as it does back-to-front (e.g. 202, 575, 1991, etc.) p is the smallest integer greater than 100 that is both a prime and a palindrome. What is the sum of the digits of p?