243. For every positive even integer n, the function H(n) is defined to be the product of all the even integers from 2 to n, inclusive. If p is the smallest prime factor of H(100)+1, the p is? Greater than 40 ( i am not sure at all) For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 2 to n, inclusive. If p is the smallest prime factor of h (100) + 1, then p is A. between 2 and 10 B. between 10 and 20 C. between 20 and 30 D. between 30 and 40 E. greater than 40 h(100)= 2*4*6............100 h(100)+1=2*4*6............100 +1 2(1*2*3.......50)+1 so when h(100)+1 is divided by any of the nos between 2 and 50 will leave a remainder 1. 2*50!+1 will not be divisible by any no <50 ANS E |