Re: A puzzle about the number 1

Larry Tapper:
> Actually it was Goldbach I was thinking of! A slightly unorthodox way
> of stating the Goldbach Conjecture is:
>
> 1 is the only natural number that cannot be expressed as the _average_
> of two primes.
>
> I think that this Goldbach-based answer is a little more
> straightforward than Mark's, which has the drawback of being an
> unnatural way to say "It is not known whether there are any odd perfect
> numbers".

Yes, well, I think that this Goldbach-based answer has the drawback of
being an unnatural way to say "every even natural number greater than 2
is the sum of two primes", and I like my answer better. Pride of
ownership has nothing to do with it. :-)
--
Mark Brader | "I don't have to stay here to be insulted."
Toronto | "I realize that. You're insulted everywhere, I imagine."
msb@xxxxxxx | -- Theodore Sturgeon
.

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