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id	challengeType	title	forumTopicId
5900f4381000cf542c50ff4b	5	Problem 204: Generalised Hamming Numbers	301845

Description

A Hamming number is a positive number which has no prime factor larger than 5. So the first few Hamming numbers are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15. There are 1105 Hamming numbers not exceeding 108.

We will call a positive number a generalised Hamming number of type n, if it has no prime factor larger than n. Hence the Hamming numbers are the generalised Hamming numbers of type 5.

How many generalised Hamming numbers of type 100 are there which don't exceed 109?

Instructions

Tests

tests:
  - text: <code>euler204()</code> should return 2944730.
    testString: assert.strictEqual(euler204(), 2944730);

Challenge Seed

function euler204() {
  // Good luck!
  return true;
}

euler204();

Solution

// solution required

1.1 KiB Raw Blame History