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Number Theory Mystery Cache

Hidden : 3/1/2016
Difficulty:
3 out of 5
Terrain:
1 out of 5

Size: Size:   micro (micro)

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Geocache Description:

The cache is not at the posted coordinates.  

Cache is located at N 43 58.xxx W 78 12.xxx

Solve the puzzle and find the cache.

1. It is not a prime number.

2. If you squared this number and squared the new number your ones digit would be six.

3. The square root of this number is an irrational number.

4. The prime factors of this number are all less than 5.

5. The product of this number and its reciprocal is one.

6. The number is less than the digit in the 100 billionths decimal place of pi.


So what's the answer??

You can validate your puzzle solution with certitude.

Additional Hints (No hints available.)