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Perfect numbers

  1. Jul 21, 2014 #1
    Why are perfect numbers important?
    What is the best way of introducing these numbers to a first course on number theory?
    I could not find any application apart from the relation to Mersenne primes. Are there any other applications of perfect numbers?
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  3. Jul 22, 2014 #2

    Simon Bridge

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  4. Jul 22, 2014 #3


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    To be honest, I doubt perfect numbers are useful at all. Surely in a number theory course, your students can appreciate a theory that doesn't have an application but just intrinsic beauty?
    If I were to teach the course, I would lay a link with history and the Pythagoreans.
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