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Perfect numbers

by matqkks
Tags: numbers, perfect
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matqkks
#1
Jul21-14, 11:11 AM
P: 153
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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Simon Bridge
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Jul22-14, 12:22 AM
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I'll answer by asking questions.
1. why are the different classifications of numbers important?
2. how do you normally introduce concepts into the course?

3. why do you need more - do you know what Mersenne primes get used for?
http://math.stackexchange.com/questi...erfect-numbers
micromass
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Jul22-14, 03:55 AM
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Quote Quote by matqkks View Post
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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