A000079 and the least deficient numbers
Max
relf at unn.ac.ru
Sun Dec 26 22:15:47 CET 2004
Jack Brennen wrote:
>> Is it trivial to show that there are no other least deficient numbers
>> besides the powers of 2? Do you have any references to the proof?
>
> I haven't seen any proof of this. It seems to be an open problem.
> See: http://mathworld.wolfram.com/AlmostPerfectNumber.html
>
> In particular, "The only *known* almost perfect numbers are the powers
> of 2."
If so, the description of A000079 and MathWorld's "Least Deficient Number" article must be corrected.
Max
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