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1023 B

Raw Blame History

id	challengeType	title	forumTopicId
5900f3d91000cf542c50feeb	5	Problem 108: Diophantine Reciprocals I	301732

Description

In the following equation x, y, and n are positive integers. 1/x + 1/y = 1/n For n = 4 there are exactly three distinct solutions: 1/5 + 1/20 = 1/4
1/6 + 1/12 = 1/4
1/8 + 1/8 = 1/4 What is the least value of n for which the number of distinct solutions exceeds one-thousand?

Instructions

Tests

tests:
  - text: <code>diophantineOne()</code> should return 180180.
    testString: assert.strictEqual(diophantineOne(), 180180);

Challenge Seed

function diophantineOne() {
  // Good luck!
  return true;
}

diophantineOne();

Solution

// solution required

1023 B Raw Blame History