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Math History: Carl Friedrich Gauss Mystery Cache

This cache has been archived.

that_earthcache_guy: Due to the distance of the potential new coordinates, this cache needs to simply be archived and re-written.

Thanks to everyone that came out to find it!

More
Hidden : 2/3/2017
Difficulty:
3 out of 5
Terrain:
2 out of 5

Size: Size:   micro (micro)

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Geocache Description:


The Cache is NOT at the listed coordinates…to obtain the correct coordinates, you will simply have to do a bit of math. I’m not very good at math, but I love history…I enjoy finding out how we got to the present from the past.

 

Carl Friedrich Gauss was a German mathematician who contributed significantly to many fields, including number theory, algebra, statistics, analysis, differential geometry, geodesy, geophysics, mechanics, electrostatics, astronomy, matrix theory, and optics.

 

Sometimes referred to as the Princeps mathematicorum (Latin, "the foremost of mathematicians") and "greatest mathematician since antiquity," Gauss is ranked as one of history's most influential mathematicians.

 

Gauss was a child prodigy. A story relates that, when he was seven or eight, he figured out how to add up all the numbers from 1 to 100 within seconds.  He succeeded not by brute mental force (adding each number individually) but through the insight that the sum of the numbers 1-100 is also the sum of 50 pairs of numbers each adding up to 101. (The answer is 5,050 if you want to know.)

 

Your task is to replicate this feat…but with a smaller number.  If you know the formula, it’ll take seconds…if not, well…break out your calculator or pencil and paper and start adding!

 

The cache is actually hidden at: N 32 24.612 W 85 1.XXX

At that location, you'll be looking for a bison tube, so BYOP!

 

To complete the coordinates, determine the sum of the numbers from 1 to 38.

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

Additional Hints (Decrypt)

A/2 k (1 + A) jvgu A orvat gur ynetrfg ahzore va gur fhz.

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)