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I'm thinking of a number Mystery Cache

Hidden : 10/9/2006
Difficulty:
2.5 out of 5
Terrain:
2.5 out of 5

Size: Size:   regular (regular)

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Geocache Description:

Cache is not located at the coordinates above. Find the number I am thinking of to discover the actual coordinates. Cache is a lock and lock container that contains logbook, pen and trade items. It is in the extreme western edge of Lincoln Natioanl Forest so be aware of forest closures during times of extreme fire danger.

I am thinking of a number between 1 and 1000.

This number when divided by 2 has a remainder of 1.
This number when divided by 3 has a remainder of 2.
This number when divided by 4 has a remainder of 3.
This number when divided by 5 has a remainder of 4.
This number when divided by 6 has a remainder of 5.
This number when divided by 7 has a remainder of 6.
This number when divided by 8 has a remainder of 7.

Cache is located at N32 54.number W105 54.number

Additional Hints (Decrypt)

Rnfvre gb svaq ahzore qvivfvoyr ol nyy gubfr ahzoref naq gura fhogenpg bar.

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)