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id	challengeType	title	forumTopicId
5900f3971000cf542c50feaa	5	Problem 43: Sub-string divisibility	302100

Description

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 numbers of all 0 to 9 pandigital numbers with this property.

Instructions

Tests

tests:
  - text: <code>substringDivisibility()</code> should return [ 1430952867, 1460357289, 1406357289, 4130952867, 4160357289, 4106357289 ].
    testString: assert.deepEqual(substringDivisibility(), [ 1430952867, 1460357289, 1406357289, 4130952867, 4160357289, 4106357289 ]);

Challenge Seed

function substringDivisibility() {
  // Good luck!
  return [];
}

substringDivisibility();

Solution

// solution required

1.4 KiB Raw Blame History