Odd Harmonic Numbers Exceed 1024

Amer Mathematical Soc
Publication Type:
Journal Article
Mathematics Of Computation, 2010, 79 (272), pp. 2451 - 2460
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A number n > 1 is harmonic if sigma(n) vertical bar n tau(n), where tau(n) and sigma(n) are the number of positive divisors of n and their sum, respectively. It is known that there are no odd harmonic numbers up to 10(16). We show here that, for any odd
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