4 Jun
2020
4 Jun
'20
3:14 p.m.
Il 04/06/2020 02:06, Hans Havermann ha scritto:
I've just added base-37 to my A256112 < http://chesswanks.com/num/a256112.pdf > solutions list. I needed to borrow a letter from the Greek alphabet! Can someone explain why prime bases have so many more solutions than composite ones? When the base B is composite and you are selecting the k-th digit, where k is a divisor of B, you have less choices, because that digit must be a divisor of B as well.
So, for example, if B is even, you can only use even digits in even positions, reducing the number of possibilities. (The last digit does not follow this rule because the whole number does not need to be a multiple of B). If B is prime you have fewer constraints. Giovanni