i chekced a few perfect numbers with module 6 and, a nice property is that all mod 6 equal 4 (at least for those i checked), i guees that if an odd perfect number would exist then its mod 6 would be different.(adsbygoogle = window.adsbygoogle || []).push({});

i wonder how to prove that for every even perfect number greater than 6, its mod 6 equal 4?

i guess because its even it's divisble by 2, and then the question becomes how to prove that mod 3 equal 2, then how do you prove/disprove the assertion?

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

Join Physics Forums Today!

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

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

# Perfect numbers beside 6 in mod6.

Loading...

Similar Threads for Perfect numbers beside | Date |
---|---|

Conjecture regarding perfect numbers. | Jul 29, 2012 |

90 - The Only Deficiently Perfect Imperfect Number ? | Jul 15, 2012 |

The product of 8 consecutive natural numbers will not be a perfect square? | May 29, 2012 |

Why an odd perfect number, if exists, is not divisble by 3? | Jun 26, 2011 |

Perfect Numbers and their reciprocals. | Apr 7, 2011 |

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