This a puzzle geocache. The cache is NOT located at the posted coordinates; you have to solve a mathematical puzzle to determine the physical location of the geocache.
To solve for the coordinates, you need to find a ten-digit number that uses all of the digits from 0-9 once that also meets each of the following criteria:
- The seventh digit is a triangular number.
- The fourth digit has opposite parity to the ninth digit.
- The sum of the seventh and tenth digits is equal to the product of the second and third digits.
- The product of the first and third digits is equal to the square of the sixth digit.
- The fifth digit is a square number.
- The fourth digit has three letters in its name.
- The eighth digit is a perfect number.
- Of the first and third digits, one is a prime number and the other is a cube number.
Once you have solved for the answer, assign A as equal to the first digit, B as equal to the second digit, C as equal to the third digit and so on.
The coordinates of the cache are as follows:
N 55° 4B.C(D+F)A W 004° 1(E-D).(IxJ)GH
Please note: At the final location, you do NOT need to cross the fence to access the cache.
Numbers Game #2 is the second in a series of Numbers Game caches: GC6F9QN Numbers Game #1.