Find all ordered pairs (m,n) such that mn-1 divides n^3+1.(adsbygoogle = window.adsbygoogle || []).push({});

Hint #1:

Write the expression as a+bn for some coefficients a and b.

Hint #2:

Show that if (m,n) is a solution, then (n,m) is also a solution.

Good luck!

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Math Puzzle

Loading...

Similar Threads - Math Puzzle | Date |
---|---|

Are Physicists better math puzzle solvers than mathematicans? | Dec 24, 2017 |

Math puzzle that involve thought process | Nov 15, 2012 |

Math Puzzle | Mar 1, 2011 |

A Math Puzzle Who can solve it first? | Nov 6, 2010 |

For those bored, a little math puzzle | Jan 14, 2009 |

**Physics Forums - The Fusion of Science and Community**