data/problems/200.yml
---
:id: 200
:name: Find the 200th prime-proof sqube containing the contiguous sub-string "200"
:url: https://projecteuler.net/problem=200
:content: "We shall define a sqube to be a number of the form, <var>p</var><sup>2</sup><var>q</var><sup>3</sup>,
where <var>p</var> and <var>q</var> are distinct primes. \nFor example, 200 = 5<sup>2</sup>2<sup>3</sup>
or 120072949 = 23<sup>2</sup>61<sup>3</sup>.\n\nThe first five squbes are 72, 108,
200, 392, and 500.\n\nInterestingly, 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.\n\nFind
the 200th prime-proof sqube containing the contiguous sub-string \"200\".\n\n"