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Eggcellent Mystery Cache

This cache has been archived.

sirf: This cache has been around long enough. Time to move on :)

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Hidden : 9/9/2009
Difficulty:
4.5 out of 5
Terrain:
1 out of 5

Size: Size:   micro (micro)

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Geocache Description:

The given coordinates are incorrect. Solve the puzzle to find the real coordinates.

In order to find the real location of the cache, you must solve this puzzle:

A girl was carrying a basket of eggs, and a man driving a horse hit the basket and broke all the eggs. Wishing to pay for the damage, he asked the girl how many eggs there were.
The girl said she did not know, but she remembered that when she had taken them out of the basket 473 eggs at a time, there were 322 eggs left. When she had taken them out 517 at a time, there were 476 left. When she had taken them out 611 at a time, there were 241 left. When she had taken them out 637 at a time, there were 163 left. When she had taken them out 651 at a time, there were 100 left, and when she had taken them out 657 at a time, there were 565 left.
`Well,' said the man, `I can tell you how many eggs you had at a minimum.' What was his answer?

The solution to the problem above yields a number where the five leftmost digits completes the latitude, and the five rightmost digits should be used for the longitude.
Lat: N 63° XX.xxx
Lon: E 020° YY.yyy

Example: If you think the solution to the problem above is 4918303 eggs, the coordinates will be
N 63° 49.183
E 020° 18.303

The cache contains a log only. Bring a pen!

Additional Hints (Decrypt)

Vs gur onfxrg vf rzcgvrq 10 rttf ng n gvzr, gurer jvyy or ab rttf yrsg. Gur nafjre vf terngre guna 2³²

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)