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Sign of Progress Mystery Cache

Difficulty:
4.5 out of 5
Terrain:
1 out of 5

Size: Size:   other (other)

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Geocache Description:

The cache is NOT at the posted coordinates.

At the posted coordinates you will only see a clue to the political district that the cache resides in. The cache is small, but there's room to trade small items (stamps, coins, etc.)

(NOTE: Nothing is actually hidden at the posted coords, I wouldn't advise searching for something here.)


Solve a centuries old mathematics problem, interpret data like a modern computer, and you'll find this Sign of Progress. Please observe "no parking signs"

Here are the actual coordinates for the cache:

N abo cd.efg

W hio jk.lmn


LATITUDE

b2 + 2 = a3

w3 + e3 = g3 - 1

Note that "w" and "e" could go in either order in this equation. Of the two possible numbers for these letters, "w" is the larger number.

d = w - 4

b = c

f = 1

LONGITUDE

Click here

Additional Hints (Decrypt)

Ibjryf naq ybat pbafbanagf (fhpu nf a) ner ybat erthyne jnirf. Uneq pbafbanagf ner fubeg, veerthyne jnirf. Fvovynagf nccrne nf zrqvhz veerthyne jnirf. Fbhaqf znqr jvgu gur zbhgu jvqr bcra (fhpu nf v be ru), unir gnyyre naq uvture-serdhrapl jnirf guna fbhaqf znqr jvgu gur zbhgu zber pybfrq (bu be bb). Lbh nyernql xabj U naq V, hfr gurz nf cenpgvpr.

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)