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Weird number

In mathematics, a weird number is a natural number that is abundant but not semiperfect. The first few weird numbers are 70, 836, 4030, 5830, 7192, 7912, 9272, 10430, ... (sequence A006037 in OEIS). It has been shown that an infinite number of weird numbers exist, and the sequence of weird numbers has also been proven to have positive Schnirelmann density.

As of this writing, no odd weird number has been found.

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