[Md. Minuddin]

Originally Posted by dissa

hmm.. b/n between? I didn't get it.

My answer is here,
h(n) = 2 x 4 x .....n
h(100) = 2 x 4 x ...100
h(100) + 1 = (2 x 4 x ...100 + 1) = 2 (1 x 2 x...50) +1

if we divide this any number below 50;
1 would be the remainder. So that the smallest prime factor would be greater than 50.

answer (E)

Just a small correction.
It (red 2) will be 2⁵⁰
your explanation is good