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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?
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.
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Once again, isn't that just the definition of what perfect numbers are?
]]>It would be worthwhile to read this thread first, for the definitions of the terms and functions used in these exercises.
#1
Not true.
Mobius(4) != Mobius(2)*Mobius(2)
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