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# For every positive even integer n, the function h(n) is

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Manager
Joined: 21 Dec 2005
Posts: 102
For every positive even integer n, the function h(n) is [#permalink]

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01 Apr 2006, 22:31
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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

Thanks
Manager
Joined: 31 Mar 2006
Posts: 67

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02 Apr 2006, 02:07
h(100)+1 = 2*4*6*......*100 + 1
= 2^50*(1*2*3*....50) + 1

from this, we know that h(100)+1 is not divisible by any prime number less than 50.

So it should be at leat more than 50
roughly speaking...   [#permalink] 02 Apr 2006, 02:07
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