package
0.0.0-20240923064808-a9a762e127f6
Repository: https://github.com/sunilbpandey/project-euler.git
Documentation: pkg.go.dev

# README

Sub-string divisibility

The number, 1406357289, is a 0 to 9 pandigital number because it is made up of each of the digits 0 to 9 in some order, but it also has a rather interesting sub-string divisibility property.

Let $d_1$ be the $1^{st}$ digit, $d_2$ be the $2^{nd}$ digit, and so on. In this way, we note the following:

$d_2d_3d_4$=406 is divisible by 2

$d_3d_4d_5$=063 is divisible by 3

$d_4d_5d_6$=635 is divisible by 5

$d_5d_6d_7$=357 is divisible by 7

$d_6d_7d_8$=572 is divisible by 11

$d_7d_8d_9$=728 is divisible by 13

$d_8d_9d_{10}$=289 is divisible by 17

Find the sum of all 0 to 9 pandigital numbers with this property.

Source: https://projecteuler.net/problem=43