freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-200-find-the-200th-prime-proof-sqube-containing-the-contiguous-sub-string-200.md

id	title	challengeType	forumTopicId	dashedName
5900f4351000cf542c50ff47	Problem 200: Find the 200th prime-proof sqube containing the contiguous sub-string "200"	5	301840	problem-200-find-the-200th-prime-proof-sqube-containing-the-contiguous-sub-string-200

--description--

We shall define a sqube to be a number of the form, {p^2}{q^3}, where p and q are distinct primes.

For example, 200 = {5^2}{2^3} or 120072949 = {{23}^2}{{61}^3}.

The first five squbes are 72, 108, 200, 392, and 500.

Interestingly, 200 is also the first number for which you cannot change any single digit to make a prime; we shall call such numbers, prime-proof. The next prime-proof sqube which contains the contiguous sub-string 200 is 1992008.

Find the 200th prime-proof sqube containing the contiguous sub-string 200.

--hints--

primeProofSqubeWithSubString() should return 229161792008.

assert.strictEqual(primeProofSqubeWithSubString(), 229161792008);

--seed--

--seed-contents--

function primeProofSqubeWithSubString() {

  return true;
}

primeProofSqubeWithSubString();

--solutions--

// solution required