13 lines
588 B
Markdown
13 lines
588 B
Markdown
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 d1 be the 1st digit, d2 be the 2nd digit, and so on. In this way, we note the following:
|
|
|
|
- d2d3d4 =406 is divisible by 2
|
|
- d3d4d5 =063 is divisible by 3
|
|
- d4d5d6 =635 is divisible by 5
|
|
- d5d6d7 =357 is divisible by 7
|
|
- d6d7d8 =572 is divisible by 11
|
|
- d7d8d9 =728 is divisible by 13
|
|
- d8d9d10=289 is divisible by 17
|
|
|
|
Find the sum of all 0 to 9 pandigital numbers with this property. |