Hi everybody(adsbygoogle = window.adsbygoogle || []).push({});

I'm currently reading Burton's Elementary Number Theory (almost done!) and in the chapter about Lagrange's Theorem about the sum of four squares, there is a supposedly easy question which I can't solve for some reason . I'd really appreciate a hint or two...

Prove that at least one of any four consecutive natural numbers is not a sum of two squares [that is, can't be represented as the sum of two squares of whole numbers]

Thank you all!

**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!

# Sum of squares

Loading...

Similar Threads - squares | Date |
---|---|

I Can we construct a Lie algebra from the squares of SU(1,1) | Feb 24, 2018 |

Least Square basic problem | Jan 20, 2018 |

B ##AB = I \implies BA = I##, for square matricies ##A,B## | Jun 9, 2017 |

I Trying to understand least squares estimates | Feb 25, 2017 |

I Why do eigenvectors stay the same when a matrix is squared? | Sep 11, 2016 |

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