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I am totally foxed by this one. Any suggestions are welcome [#permalink]
21 Nov 2005, 19:41

I am totally foxed by this one. Any suggestions are welcome

For every positive integer n, 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)+1 = (2.4.6...100)+1 = 2(1.2.3...50)+1
All prime factors less than 50 will yield a remainder of 1. So nothing less than 50 is a factor of this. Hence E.