[FONT=Times New Roman]I need to prove that for all positive integers n, N^2 is >=2
Last edited by miz.perfect84; Aug 11th 2009 at 10:21 AM.
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Originally Posted by miz.perfect84 I need to prove that for all positive integers n, σ (2n) > 2σ (n), where σ (n) denotes the sum of the divisors of n. [Hint: put , where r > = 0 and m is odd, and consider the cases r = 0 and r >0.] Use the fact that if then If is odd, then Otherwise, where and is odd, so
that made it perfectly clear, thank you
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