Let $$a_{1}

Question

Let $$a_{1}<a_{2}<.... <a_{n}$$ be the list of all prime numbers less than 25. Define $$X_{i}=\frac{b_{i}}{a_{i}}$$, where $$b_{i}$$ is the sum of all $$a_{k}$$ where k ranges from 1 to n, $$k 
eq i$$. Let B be the set of all integer-valued $$X_{i}$$. What is the Smallest element of B?

Accepted Answer

19. List of all prime numbers less than 25 = 2,3,5,7,11,13,17,19,23 = 9 numbers a 1 a_1 a 1 ​ = 2, a 2 a_2 a 2 ​ = 3, a 3 a_3 a 3 ​ = 5, a 4 a_4 a 4 ​ = 7, a 5 a_5 a 5 ​ = 11, a 6 a_6 a 6 ​ = 13, a 7 a_7 a 7 ​ = 17, a 8 a_8 a 8 ​ = 19, a 9 a_9 a 9 ​ = 23 Sum of all the above prime numbers ( a 1 a_1 a 1

Let $a_{1}<a_{2}<.... <a_{n}$ be the list of all prime numbers less than 25. Define $X_{i}=\frac{b_{i}}{a_{i}}$ , where $b_{i}$ is the sum of all $a_{k}$ where k ranges from 1 to n, $k \neq i$ . Let B be the set of all integer-valued $X_{i}$ . What is the Smallest element of B?

Let $a_{1}<a_{2}<.... <a_{n}$ be the list of all prime numbers less than 25. Define $X_{i}=\frac{b_{i}}{a_{i}}$ , where $b_{i}$ is the sum of all $a_{k}$ where k ranges from 1 to n, $k \neq i$ . Let B be the set of all integer-valued $X_{i}$ . What is the Smallest element of B?