GAG9 - Palindromic Primes Mystery Cache

The cache is not at the posted coordinates!

Originally placed for Tick and Nammie's Go and Get 'Em 9 event on Friday, October 20, 2006.

Palindromic Primes

A lot of numbers have interesting and unique properties. For example, prime numbers are not divisible by any other number (other than 1 and themselves). Examples of prime numbers: 1, 13, 53, 359334085968622831041960188598043661065388726959079837 (but feel free to double-check).

Then there are palindromic numbers, which read the same back-to-front as they do front-to-back. Examples of palindromic numbers: 77, 56765, 123454321. I had a couple of friends with palindromic phone numbers. They were particularly easy to remember!

To find this cache you will investigate numbers that are both palindromic and prime (examples: 11, 10501). The clues below describe some fun and interesting properties of one Particular Palindromic Prime (PPP for short). You will use this PPP to determine the cache coordinates.

The cache is located at coordinates N 45° 18.PPP', W 075° 54.PPP'. It is a 300mL camo painted Lock-and-Lock container. While not a theme cache, the initial contents do include a number of small puzzles among other items. A mini FM radio and/or some Tim Horton's gift certificates await the first finder.

Clues:

• One of the only palindromic primes in base 10 (decimal) whose binary equivalent is also a palindromic prime.
• 10^PPP + PPP is also a prime number.
• Both left and right-truncatable prime (you can keep chopping off digits from the left side and the result is always still prime; do the same with the right-most digits and the results are also still prime!)
• There are PPP exclamation marks in one popular translation of the Bible.
• Invert this number and you still have a palindromic prime. (By "invert" I mean swap the digits around, e.g. 10101 would become 01010).
• A landmark date for the Roman Emperor Constantine.
• A famous Disney cartoon character drives a car with this number on his license plate.
• In the movie "Somewhere In Time", this is Christopher Reeve's hotel room number.

• Enjoy!

  Special note for GAG9 seekers -- for the most muggle proof hunting (especially when groups of people show up) and to avoid making an obvious geotrail at the cache location, I strongly recommend an approach from the north-east.