8384882267501570425006403548088665152534154291991400405...
A perfect number is a positive integer which is the sum of its
proper positive divisors excluding the number itself. The first
perfect number is 6, because 1, 2, and 3 are its positive divisors,
and 1 + 2 + 3 = 6. The second perfect number is 28 since its proper
divisors 1 + 2 + 4 + 7 + 14=28. This is followed by the perfect
numbers 496 and 8128. These first four were the only perfect
numbers known to ancient Greek mathematicians.
In 1994, the 33th perfect number was identified by David
Slowinski and Paul Gage. This number has 517,430 digits. Perfect
numbers can be derived from a simple formula using Mersenne Primes.
I won't elaborate further because you can read up on it yourself if
you want to. The details are interesting, but not necessary to find
the cache.
Those who have solved and found my 44th Perfect Cache Puzzle
will find many similarities between that cache and this one.
However, this one should be easier. For one thing, it has over
19,000,000 fewer digits to work with. The puzzle solution is very
straight forward.
The five digit minutes (xx.xxx) of the North coordinate begins
on the 109,000th digit of the 33rd perfect number.
The five digit minutes (xx.xxx) of the West coordinate begins on
the 126,368th digit of the 33rd perfect number.
The cache is in a watertight container and should be large
enough to spot easily. It is initially stocked with some swag for
both adults and kids. Enjoy!
You can check your answers for this puzzle on
Geochecker.com.
Congratulations FamilieRyan for
FTF!