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Divisibility Property (Posted on 2016-08-31) Difficulty: 3 of 5
1406357289, a 0 to 9 pandigital number has a rather interesting sub-string divisibility property.
Let d1 be the 1st digit, d2 be the 2nd digit, and so on.
In the above number 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

List all 0 to 9 pandigital numbers with all those properties.

D4, if solved without software.

No Solution Yet Submitted by Ady TZIDON    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionWithout SoftwarePaul2016-08-31 13:59:45
SolutionWith softwareCharlie2016-08-31 11:12:32
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