Prime Location Mystery Cache
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Difficulty:
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Terrain:
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Size: 
(small)
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The cache is not at the posted coordinates.
The cache can be found at a prime location that conforms to the following criteria.
The seven digit number, representing the latitude, is a prime number. This same number, within the set of all prime numbers, has an ordinal value which is also a prime number.
The eight digit number, representing the longitude, is also a prime number. It also has an ordinal value which is a prime number.
The difference between the longitude and latitude is a seven digit number. Only one of the seven digits of this number is odd and it is also prime. Digits of equal value are on either side of this single odd prime digit, e.g. 8434428.
The checksums of the latitude, longitude and difference are 29, 32 and 39 respectively.
NOTES
Both latitude and longitude numbers are to be interpreted as having the standard format with degrees, minutes and fractions of minutes. The meaning of ordinal value is illustrated in the table below where the bottom row defines the ordinal value of the first dozen prime numbers in the top row.
2
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3
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5
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7
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11
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13
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17
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19
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23
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29
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31
|
37
|
1
|
2
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3
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4
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5
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6
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7
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8
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9
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10
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11
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12
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You can validate your solution with certitude.
Additional Hints
(Decrypt)
[hide: In hedge, four feet above sprinkler control boxes.]