HUMONGOUS
You will have to deal with big numbers to find this cache. Here
is a big one!
(A Big One)
But that's not what I mean by a big number. Have a look at the
background picture (titled Big Number). That's the kind of big
number I'm talking about. If you examine it, you will see that it
is formed from the counting numbers (1,2,3 ...) by just tacking on
the next counting number to the right of the previously formed big
number. In that way you can form a number as humongous as you
desire.
Now comes the interesting part. Take a look at this example.
(Example)
In the example, you can see that the 15th digit of the humongous
number is a 2. You can also see that the digital root (see note
below) of the number up to and including the 17th digit is equal to
1.
Big deal! Well, if you are going to find the cache you will need
to figure out how to easily determine any desired digit of the
humongous number, and what the digital root is of that humongous
number up to any digit.
Now any clever 12 year old child could figure out the
required numbers in a few minutes using only pencil and paper. So
don't be a wuss by writing programs to do the calculations!
Go to the posted coordinates (N45 16.014 W075 44.666) where you
will find a tag (white digits on black background) with two numbers
written on it. The first number is N and the second number
is M.
The cache is at North 45 1A.B73 West 075 CB.AC5
where:
- A is the (MxN + 46)th digit of the humongous
number;
- B is the digital root of the humongous number up to and
including the Mth digit;
- C is the digital root of the humongous number up to and
including the (M + 12)th digit.
The cache container is a camouflage-coloured plastic peanut
butter jar about 5 inches high by about 3.5 inches in diameter. It
has been well cleaned of its prior contents.
Go find the cache! And don’t forget to have fun.
Please leave the surroundings exactly as you found them.
NOTE: The digital root of a number is found by
adding up all of the digits of the number. If the result has only
one digit, then that result is the digital root. If the result has
more than one digit, then the digits of the result are added to
find a new result. This process is continued until the result only
has one digit and that digit is the digital root. (For example, the
digital root of 21435 is 6.)
PLEASE do not include spoilers in your logs. Logs with
spoilers will be deleted immediately. If you believe there are any
problems with the cache setup, please advise me privately by e-mail
so that I may fix them if necessary.