Perfect numbers

  • Thread starter matqkks
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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?
 

Simon Bridge

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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?
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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