Mmm, fun with numbers.
Each potential four-digit number with at least two different digits in it (numbers with all the same digits, subtracted from themselves, will always be zero) has a particular set of other digits that it can be changed into via the "scramble and subtract" method on that page.
Each set of output digits is unique inasmuch as three particular digits will always correspond to a given fourth.
All you have to do is tediously work out the 220-entry list of each possible three-digit combination and its associated fourth output digit, and you're away laughing. Fortunately, that sort of thing is what computers are good at.
Until the middle of the twentieth century, number theory was, unlike the likes of algebra and calculus, considered 'pure math', not of any real use.
Then, after Galois fields and combinatorial analysis won (depending on who you ask) World War II, people started taking notice.
Now you couldn't do your internet banking without it.
kiwibiker is full of love, an disrespect.
- mikey
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