22 Jun 2014

IrMO 2000 P1 Q3: Upper Secondary Mathematics Competition Question

Let f(x) = 5x13 + 13x5 + 9kx. Find the least positive integer k such that 65 divides f(x) for every integer x.


[IrMO 2000, Paper 1, Question 3]




Feel free to comment, ask questions and even check your answer in the comments box below powered by  Disqus Google+.

}

This space is here to avoid seeing the answers before trying the problem!

}

If you enjoy using this website then please consider making a donation - every little helps :-)

You can receive these questions directly to your email box or read them in an RSS reader. Subscribe using the links on the right.

Don’t forget to follow Gifted Mathematics on Google+Facebook or Twitter. You may add your own interesting questions on our Google+ Community and Facebook..

You can also subscribe to our Bookmarks on StumbleUpon and Pinterest. Many resources never make it onto the pages of Gifted Mathematics but are stored in these bookmarking websites to share with you.
Related Posts Plugin for WordPress, Blogger...