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id	challengeType	title	forumTopicId
5900f3db1000cf542c50feed	5	Problem 110: Diophantine Reciprocals II	301735

Description

In the following equation x, y, and n are positive integers. 1/x + 1/y = 1/n It can be verified that when n = 1260 there are 113 distinct solutions and this is the least value of n for which the total number of distinct solutions exceeds one hundred. What is the least value of n for which the number of distinct solutions exceeds four million?

Instructions

Tests

tests:
  - text: <code>diophantineTwo()</code> should return 9350130049860600.
    testString: assert.strictEqual(diophantineTwo(), 9350130049860600);

Challenge Seed

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

diophantineTwo();

Solution

// solution required

1.1 KiB Raw Blame History