Content-Type: text/shitpost


Subject: More mathematical shitposting
Path: you​!your-host​!warthog​!central-scrutinizer​!fpuzhpx​!plovergw​!plovervax​!shitpost​!mjd
Date: 2017-12-14T01:44:36
Newsgroup: comp.lang.haskell.math.taxicab-numbers
Message-ID: <d64b0a3bf50a3821@shitpost.plover.com>
Content-Type: text/shitpost

People will tell you that 1729 is the smallest number that is a sum of two integer cubes in two different ways, but they are mistaken. Actually the smallest such number is 91:

$$91 = 3^3 + 4^3 = 6^3 + (-5)^3 $$

1729 is the smallest number that is a sum of two positive integer cubes in two different ways. (!!1729 = 1^3 + 12^3 = 9^3 + 10^3.!!) People sometimes forget that cubes, unlike squares, can be negative.