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Numbers Game #1 Mystery Cache

Hidden : 4/10/2016
Difficulty:
3 out of 5
Terrain:
1.5 out of 5

Size: Size:   micro (micro)

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Geocache Description:


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 third digit is the number that falls halfway between the sixth digit and the eighth digit on a standard dartboard.
  • The sixth digit can be written in Roman Numerals using a single letter.
  • The seventh digit is neither prime nor square.
  • The second digit is odd and less than the ninth digit.
  • The first digit is equal to the sum of the sixth digit and the seventh digit.
  • The fifth digit is the number that comes next in the following sequence: 49, 36, 25, 16, 9, __
  • The eighth digit is a positive square number.
  • The tenth digit is the number on the opposite side of a standard dice to the third digit.

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° 4(C+F).D(B+G)E W 004° 1H.(B+J)IA

Please note: At the final location, you can access the cache from the pavement.

Numbers Game #1 is the first in a series of Numbers Game caches: GC6EZRB Numbers Game #2.

Additional Hints (Decrypt)

Fgnaq ba gur cnirzrag naq ybbx qbja

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)