GC6W0AF Primitive Roots of Unity (Unknown Cache) in Minnesota, United States created by dgauss

GC6W0AF ▼

A cache by dgauss Message this owner

Hidden : 10/20/2016

Difficulty:

Terrain:

Size: Size: small (small)

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Geocache Description:

Spiromania #25. Another puzzle cache.
As is often the case for this series VKabcdefghij is short for UTM: 15T E 4abcde N 49fghij.

Consider the polynomials:

x⁴ + 1
x² + 1
x² - x + 1
x⁴ - x² + 1
x⁸ - x⁴ + 1
x² - x + 1
x⁶ - x³ + 1

Enter the location of the cache into the coordinate checker in the form VKabcdefghij and, if correct, you'll receive the coordinates in lat/lon as well as a hint to the hide.

You can validate your puzzle solution with certitude.

More than you need to know (for now): These polynomials and related topics are very important in the finite Fourier transforms and in RSA encryption.

The first ten solvers are:

1.      rickrich        Tue, 25 Oct 2016 8:31:04
2.      pfalstad        Tue, 25 Oct 2016 9:41:31
3.      PackADad        Tue, 25 Oct 2016 9:56:25
4.      ctc128  Tue, 25 Oct 2016 10:54:58
5.      salsman Tue, 25 Oct 2016 11:50:00
6.      Briarwoodhill Clan      Tue, 25 Oct 2016 13:11:47
7.      mnboyscout      Tue, 25 Oct 2016 13:33:02
8.      foundinthewild  Tue, 25 Oct 2016 16:08:40
9.      sparkyfry       Thu, 27 Oct 2016 11:57:52
10.     OleSeeker       Mon, 12 Dec 2016 9:58:50

Additional Hints (Decrypt)

Pbygl Pbzvp

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)