freeCodeCamp

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id	challengeType	title	forumTopicId
5900f3ec1000cf542c50fefe	5	Problem 127: abc-hits	301754

Description

The radical of n, rad(n), is the product of distinct prime factors of n. For example, 504 = 23 × 32 × 7, so rad(504) = 2 × 3 × 7 = 42. We shall define the triplet of positive integers (a, b, c) to be an abc-hit if: GCD(a, b) = GCD(a, c) = GCD(b, c) = 1 a < b a + b = c rad(abc) < c For example, (5, 27, 32) is an abc-hit, because: GCD(5, 27) = GCD(5, 32) = GCD(27, 32) = 1 5 < 27 5 + 27 = 32 rad(4320) = 30 < 32 It turns out that abc-hits are quite rare and there are only thirty-one abc-hits for c < 1000, with ∑c = 12523. Find ∑c for c < 120000.

Instructions

Tests

tests:
  - text: <code>euler127()</code> should return 18407904.
    testString: assert.strictEqual(euler127(), 18407904);

Challenge Seed

function euler127() {
  // Good luck!
  return true;
}

euler127();

Solution

// solution required

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