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It would be worthwhile to read **this** thread first, for the definitions of the terms and functions used in these exercises.

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#3

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#4

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zetafunc wrote:

It would be worthwhile to read

thisthread first, for the definitions of the terms and functions used in these exercises.#1

Not true.

Mobius(4) != Mobius(2)*Mobius(2)

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

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zetafunc wrote:

#2

Once again, isn't that just the definition of what perfect numbers are?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

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Agnishom wrote:

Not true.

Mobius(4) != Mobius(2)*Mobius(2)

That is not a counter-example. 2 is not coprime to itself: all you have shown is that it is not *totally multiplicative*.

*Last edited by zetafunc (2015-10-25 05:04:30)*

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Agnishom wrote:

Yes, but perhaps the question ought to have been phrased in terms of a more elementary definition of the perfect numbers, such as: "Given that a perfect number is a number which is equal to the sum of its proper divisors, explain why this is equivalent to
Once again, isn't that just the definition of what perfect numbers are?

*Last edited by zetafunc (2015-10-25 05:13:47)*

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#10

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