Last visit was: 21 Apr 2026, 19:11 It is currently 21 Apr 2026, 19:11
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
User avatar
zion
Joined: 05 Mar 2007
Last visit: 02 Apr 2008
Posts: 15
Own Kudos:
Posts: 15
Kudos: 13
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
zion
Joined: 05 Mar 2007
Last visit: 02 Apr 2008
Posts: 15
Own Kudos:
Posts: 15
Kudos: 13
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
CookieMonster
Joined: 18 Feb 2007
Last visit: 09 Oct 2009
Posts: 210
Own Kudos:
Posts: 210
Kudos: 1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
zion
Joined: 05 Mar 2007
Last visit: 02 Apr 2008
Posts: 15
Own Kudos:
Posts: 15
Kudos: 13
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Thanks CookieMonster for the response.

Well, i understood that h(100) is divisable by 2...50, I didnt understand how we can come up with an answer(with out guessing) for h(100)+1. Could you please emphasize.

Thanks!!
User avatar
CookieMonster
Joined: 18 Feb 2007
Last visit: 09 Oct 2009
Posts: 210
Own Kudos:
Posts: 210
Kudos: 1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
zion
Thanks CookieMonster for the response.

Well, i understood that h(100) is divisable by 2...50, I didnt understand how we can come up with an answer(with out guessing) for h(100)+1. Could you please emphasize.

Thanks!!


I wasnt positive that I approached this problem correctly, but no one has corrected me yet.
here was my reasoning:

every prime number less than 50 is a factor of h(100).
so none of those primes will be a factor of h(100)+1.
Therefore the smallest prime factor of h(100) will be > 50.

ex: 7 is a factor of 7,14,21,28,35...
7 however is not a factor of 8,15,22,29,36

hope this clears things up...
User avatar
zion
Joined: 05 Mar 2007
Last visit: 02 Apr 2008
Posts: 15
Own Kudos:
Posts: 15
Kudos: 13
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Its clear now!!, thanks for the response CookieMonster!!



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
Moderator:
Math Expert
109728 posts