Problem
of the
Fortnight!!!

Previous Problems of the Fortnight may be found at the bottom of the page.

Winners will be awarded the title “FortKnight”.

Repeat winners will be granted t-shirts, gift certificates, and undying fame and glory!!

Read below if you are up to the challenge!

Problem of the Fortnight #14

A Real Powerful Puzzle

Let be real numbers.

A) Prove that if is an integer then is an integer for every natural number .

B) Determine conditions on andsuch that if is an integer then is an integer for every natural number. Provide rigorous arguments.

Solutions are due by 4pm on Friday, April 28^th in Goodrich 108.

^{Previous Problems from 2005-2006}

Problem of the Fortnight #1 -- SOLUTION

Problem of the Fortnight #2 -- SOLUTION

Problem of the Fortnight #3

Problem of the Fortnight #4

Problem of the Fortnight #5

Problem of the Fortnight #6

Problem of the Fortnight #7

Problem of the Fortnight #8

Problem of the Fortnight #9 -- SOLUTION

Problem of the Fortnight #10

Problem of the Fortnight #11

Problem of the Fortnight #12

Problem of the Fortnight #13

^{FORTKNIGHTS 2005-2006}

^{2004-2005: The Fair and Glorious Fortknights!}

^{2003-2004: The Fair and Glorious Fortknights!}

^{2002-2003: The Fair and Glorious Fortknights!}

^{2001-2002: The Fair and Glorious Fortknights!}

^{2000-2001: The Fair and Glorious Fortknights!}

^{Fortnight Problems: 2004-2005}

^{Fortnight Problems: 2003-2004}

^{Fortnight Problems: 2002-2003}

^{Fortnight Problems: 2001-2002}

^{Fortnight Problems: 2000-2001}