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Numbers Game #3 Mystery Cache

Hidden : 5/14/2021
Difficulty:
3.5 out of 5
Terrain:
2 out of 5

Size: Size:   small (small)

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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 first digit minus the second digit equals 1.
  • The fifth and seventh digits have the same parity.
  • The fourth digit has an odd number of letters in its name.
  • The second and tenth digits are both composite and are coprime with each other.
  • The third digit is the points value of a snooker ball with colour starting with the letter B.
  • The name of the eighth digit starts with a vowel.
  • If you multiple the sixth, seventh and eighth digits together, the answer is equal to the nineth digit.
  • The tenth digit is greater than the fifth digit.
  • On a standard LED seven-segment display, the first digit is normally displayed using same number of segments as its value.

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(A+E-H).(G+J-D)(B+C-G)(F+I-D)' W 4° 1(A+E+F).(E+G+H)(B+G-H)(C+D-I)'.

There is parking available to the northwest of the cache; for coordinates of the parking add 14 to the North coordinate and add 21 to West coordinate.

Numbers Game #3 is the third in a series of Numbers Game caches: GC6F9QN Numbers Game #1GC6ERB Numbers Game #2.

Additional Hints (Decrypt)

Obggbz bs snyyra gerr

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)

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