h(n) is the product of the even numbers from 2 to n, inclusive, and p is the least prime factor of h(100) +1. What is the range of p?
Thanks a lot
h(100) = 2^50 * 50!
Let's check the prime numbers. 2 is the factor of h(100), so it can not be the factor of h(100)+1. Same applies to 3,5,7,11,13,17,19,23,29,31,37,41,43 and 47. But we cannot say the same about 53, since 53 is not a factor of h(100). So at least p>47.