I think you meant to say "no odd wierd number is known." The reference Weird Number lists several even ones.

This reference to Semiperfect Numbers says that every multiple of a semiperfect number is semiperfect, which makes me think some form of sieving process would eliminate many cases quickly.

Update: I found a paper using google: Sums of Divisors and Egyptian Fractions which has some interesting results on weird numbers. Two things it mentioned are that a computer search proved there are no odd wierds below 2^32, and that all abundant numbers of the form 3^a * 5^b * 7^c are semiperfect (where a, b, c > 0).

In reply to Re: Re: Subset Sum Problem by tall_man
in thread Subset Sum Problem by beretboy

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