h(n) is product even nos from 2 to n

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h(n) is product even nos from 2 to n

by sunaina jain » Tue Sep 22, 2009 10:40 pm
Could you please let me know how to solve this?

For every positive integer 'n', the function h(n) is defined to be product of all even integers from 2 to n (inclusive). If 'p' is the smallest prime factor of h(100)+1, then p is:

1) between 2 and 10
2) between 10 and 20
3) between 20 and 30
4) between 30 and 40
5) greater than 40

-- I started off eliminating even numbers
-- then, removing multiples of 5, 10 since the h(100)+1 ends with 1.

Please let me know how to solve this?
Source: — Problem Solving |

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