A lesson on some ways to use the numbers you get from a puzzle followed by an exercise for the reader.
Introduction
This is the fifth in my series of caches meant to teach people some ways to solve puzzle caches. Please read the information above the line in Puzzlers Lesson 1: Alphabets. This lesson will teach you more about the type of numbers that you are looking for in the puzzle and how to use them. Also make sure that you read the information on coordinates in Puzzlers Lesson 4: Coordinates.
Universal Transverse Mercator
One more way of specifying coordinates in numbers is the Universal Transverse Mercator (UTM) coordinate system. If you look just under the degrees-minutes coordinate for this cache you'll see the UTM coordinates. You should learn to recognize this type of coordinate because they may be the result of the puzzle. You don't want to miss a solve because you don't recognize them.
The posted coordinates for this cache are 12T E 409141 N 4557159. The 12T indicates a grid square. The center of each grid square is designated as 500000 easting to avoid negative numbers. The northing is measured from the southernmost line of the grid. So the given coordinates are approximately 90859 meters west from the center of the grid and approximately 4557159 meters from the southernmost line of the grid. I use "approximately" because there is inherent distortion when putting a portion of a curved surface (like part of the earth's sphere) onto a flat map.
2 miles is 3218.7 meters. This means that if the coordinates are in UTM then they can only vary from the posted coordinates by approximately this many meters. (See "approximately" above.) This means that (usually) only the lowest 4 or 5 digits will vary from the posted UTM coordinates.
Since UTM is used so infrequently then a cache owner should provide all 13 digits after the 12T when specifying UTM. However, a cache owner may also use the 12 in the puzzle and you will have 15 digits as a result. If fewer digits are specified then use the other techniques above to figure out what to do. So, the posted coordinates for this cache may be 124091414557159, 4091414557159, 409141557159 or some other number of digits.
You could convert the UTM to latitude/longitude coordinates, but it is easier to use a website. However, if this link stops working or you want another site to verify the conversion, just search for a UTM to latituge and longitude converter.
State Plane Coordinate System
Each state and territory in the United States has one or more geographic zones with their own coordinate system. Each of these zones has its own coordinate system, and may use transverse Mercator or Lambert conformal conic projection. Because of this complexity it will be best to use a web site to convert a State Plane Coordinate System (SPCS or SPS) to latitude/longitude coordinates.
This geocache is in the Utah North (4301) zone. There are also Utah Central (4302), Utah South (4303) and a numbered zone for each of the other zones in this system. The posted coordinates in Utah North are 451073.691E 1092040.842N (meters), 1479897.602E 3582803.997N (US feet) or 1479900.562E 3582811.163N (International feet).
If you are making a puzzle using this coordinate system, it would be best to use only the portion before the decimal point. If you are solving a puzzle that may be in this coordinate system, convert the posted coordinates using the above link and see if they start the same. However, if you get a puzzle that is in feet you will need to divide by 3.2808 to get meters to use on the site in the link above.
Puzzle
Using the information about coordinates above and information from previous puzzles, solve this puzzle:
DEJQJIUCE
You can validate your puzzle solution with certitude.
Just like latitude & longitude coordinates, the cacher who put together the puzzle may have swapped the two coordinates from their default order. I'm not saying if I did it on this puzzle, or not. However, I will tell you that I did not include the zone in the numbers you'll get.
Congratulations to UsLaynes for being first-to-find!