Let be a sequence such that a_1+a_2+ +a_n= n^2+3n (n+1)(n+2) . If 28 _ k=1 ^ 10 1 a_k =P_1P_2P_3 P_m,...

Question

Let <a_n> be a sequence such that a_1+a_2+ +a_n= n^2+3n (n+1)(n+2) . If 28 _ k=1 ^ 10 1 a_k =P_1P_2P_3 P_m, where P_1, P_2, ….. P_m are the first m prime numbers, then m is equal to

Accepted Answer

(C)

JEE Main 2023 Mathematics question

Solution