O'Halloran numbers: Difference between revisions

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2 × ( 1 × 1 + 1 × 1 + 1 × 1 ) = 6
2 × ( 1 × 1 + 1 × 1 + 1 × 1 ) = 6


Notice that the total surface area of a cuboid is always an integer and is always even, but there are many even integers which do not correspond to the area of a cuboid. For example, there is no cuboid with a surface area of 8.
Notice that the total surface area of a cuboid is always an integer and is always even, but the converse is not true. For example, there is no cuboid with a surface area of 8. It is conjectured, however, that for every even integer greater than 924, there is a corresponding cuboid with that area.


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