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littlepig finds a Keith Number Mystery Cache

This cache has been archived.

rocky is a very good doggie: Containers have gone missing. Archiving.

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Hidden : 9/15/2008
Difficulty:
3.5 out of 5
Terrain:
2 out of 5

Size: Size:   regular (regular)

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Geocache Description:

NOTE: The listed coordinates are not the position of the cache. You must determine the position of the cache from the description below.

In step with the local tradition of hiding commemorative caches to recognize major milestones, this cache commemorates the occasion of littlepig's 2208th find.

Understand first that "littlepig" is actually a family of pigs: papa pig, mama pig, eldest piglet, middle piglet, and the adorable littlest piglet. Also, papa pig's real name is Keith.

And now, on to the cache. This cache is a two-part multicache consisting of a micro which contains information leading to the coordinates for the final (a decorated ammo can).



How to find the first stage

To locate the first stage, simply find two different three-digit Keith Numbers to replace the decimal parts in the posted coordinates. There are only two three-digit Keith Numbers in existence and deciding which goes for "north" and which for "west" will be easy because one arrangement puts you on private property whereas the other arrangement puts you on public land in a park.

How to find the final stage

Once you find the first stage, you will collect two sets of numbers. Proper interpretation of those numbers will give you the decimal parts to the coordinates for the final. For example, if you got to the first stage and found "First set: 27 and 10 Second set: 106 and 9", then you would know that the cache was at N42° 12.280 W88° 12.157. This section tells what to do with the numbers you find to create those decimal parts.

The first number in each set will be a two- or three-digit number which will provide the "seed digits" for a sequence of numbers (the numbers in the seqeunce are referred to as the "terms" of the sequence). The second number in each set will tell which term you need from the sequence.

Suppose, as in our example above, the first number is 27 and the second number is 10. Then, the seed digits will be "2" and "7" and you will need the tenth number in the sequence.

Take those two seed digits to start the sequence like this: 2, 7, . . .

In order to continue the sequence (or any other sequence with two "seeds"), you will always add the previous two terms in the sequence. So, in our example, the third term in the sequence is "9" (because it is the sum of "2" and "7.") So now we have the first three terms: 2, 7, 9, . . . The fourth term will be the sum of the second and third terms. So the fourth term is 16 (9 + 7). It should be clear that this process can be continued forever.

You will continue the process in order to get the first ten terms: 2, 7, 9, 16, 25, 41, 66, 107, 173, 280. We had sought the tenth term and now we see it is "280."

Now it is also possible that the first stage includes a set for which the first number is a three-digit number. If that is the case, you will have three seeds and each subsequent term will be the sum of the previous three terms.

As in our example above, suppose you find the two numbers: 106 and 9. You use "1," "0," and "6" for the seed digits and you seek the ninth term in the sequence that you will build: 1, 0, 6, 7, 13, 26, 46, 85, 157. We stop the process of adding the previous three terms when we get the ninth term "157."

In the previous examples, the numbers that you got were 280 and 157. In the field, your work likewise will result in three-digit numbers. Use those three-digit numbers to replace the decimal parts of the north and west coordinates to locate the cache.

Here is an example for you to test yourself to see how well you understand what you are to do. If you think you know the two three-digit numbers that result, then use them to unlock the pdf linked below. Just type the first three-digit number, followed by a space, followed by the second three-digit number.

First set: 225 and 8 Second set: 91 and 12



Check your understanding of what you will do in the field by clicking here

If you got that pdf unlocked, you are ready to try to find the micro and collect the two sets of numbers!

Additional Hints (No hints available.)