As mentioned in a previous post, I extended the number conversion algorithm in order to allow for converting numbers with arbitrary digit bases, because I wanted to play around with an idea I’ve had. I questioned myself what properties a number system has where the numbers have digits with prime numbers as there bases? You haven’t heard about such an approach yet? Well, until I had the idea to do it I hadn’t heard about it either. I have become curious and decided to investigate the properties of such numbers. Let’s henceforth call that number system a “primal number system” and numbers expressed in that system “primal numbers”. Each primal number has base 2 for the right most digit, the next higher digit has base 3, then comes base 5, base 7, base 11, etc. In this article I will show you some of the results I got. In fact, they aren’t ground-breaking, but it was fun to play around with these numbers and some results indeed are interesting, at least for me ;)

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Filed under: fun | Tagged: algorithm, converter, decimal, primal, prime numbers, primorial, programming, python | Leave a comment »