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