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Double Primes Mystery Cache

Hidden : 2/16/2011
Difficulty:
3 out of 5
Terrain:
1.5 out of 5

Size: Size:   micro (micro)

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Geocache Description:

There is absolutely nothing wrong with the coordinates above. I'm sure they would take you to a very nice location where you could enjoy God's creation. However, if you want to find this cache, I don't recommend going there; I recommend solving the puzzle instead.


Everyone knows what a prime number is, right? If not, check out Wikipedia. The first few primes are (2, 3, 5, 7, 11, 13, 17, ....). But a subset of primes are also what I would call "double primes". Not only is the number prime, but if you add up each of the digits in the number, the sum is a prime also. So, 2 is a double prime, since the sum of its digits is 2, which is a prime. Also, 11 is double prime, since the sum of its digits (1+1) is 2, which is prime. However, 13 and 17 aren't double prime, because the sum of their digits is 4 and 8 respectively, which aren't prime. Therefore, the first 8 double primes are (2, 3, 5, 7, 11, 23, 29, 41). See, that wasn't so hard.

So, if I asked you for the 3rd double prime, it would be 5. If I asked you for the 8th double prime, 2nd digit, it would be 1 (from 41). Get it? Got it. Good. On with the puzzle ....

2nd double prime (DP)
7th DP, 2nd digit
10th DP, 1st digit
32nd DP, 2nd digit
15th DP, 2nd digit
9th DP, 1st digit
14th DP, 2nd digit

13th DP, 1st digit
46th DP, 1st digit
46th DP, 2nd digit
First DP > 500, 2nd digit
number of DPs < 1000, 2nd digit
48th DP, 2nd digit
69th DP, 3rd digit

As I've said before, please don't try this by hand! Disclaimer: the cache owner is not responsible for any headaches, sleeplessness, or mental difficulties that might be associated with this puzzle. BYOP.

You can check your answers for this puzzle on Geochecker.com.

Additional Hints (Decrypt)

Uzzz, ubj znal qbhoyr cevzrf jbhyq gurer or jurer nyy bs gur qvtvgf ner gur fnzr?

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)