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A Prime Location Multi-Cache

This cache has been archived.

tenebrus: I had to visit this one to see about repairs...

Part 1 consistently disappears. I thought I might move to the evergreen tree. But ...
...I realized that Part 2 is too close to actual tombstones to be in compliance with current geocaching guidelines. So this part is a problem too.
... then the final itself needs occasional fixing.

Furthermore, Schenectady has had increasing issues with crimes in the park. They have closed road access to many areas. Etc... In short, the area of this cache is now very different from when it was first placed. As such, I am archiving this one.

If you have attempted this cache recently and have the final coordinates, I am not opposed to awarding credit for the smiley - please EMAIL me through geocaching.com.

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Hidden : 11/28/2004
Difficulty:
2 out of 5
Terrain:
1.5 out of 5

Size: Size:   regular (regular)

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Geocache Description:

Located in Vale Park and Historic Vale Cemetery, this is the first in a series of mathematically based caches around the Greater Capital Region of New York.

For this cache, there are two film canisters hiding in the park. One of them (at the listed coordinates above) holds four possibilities for the north coordinates of the final - the other (at N 42 48.507 W 073 55.787) holds similar for the west coordinates of the final. Determining the correct coordinates is fairly easy - they are the only (seven-digit) primes in the list.

(Math class reminder: a prime number is a positive integer divisible evenly only by itself and 1 - such as 17.) So, for example: W 073 56.119 is to be read as 7356119, which is a prime. N 42 48.657 is to be read as 4248657, whose factorization is 3 * 3 * 7 * 17 * 3967, and therefore is not prime.

More divisibility rules and tricks then you probably ever wanted to know:
2: it's even
3: the digits add up to a multiple of 3
5: it ends with a '5' or a '0'
7: subtract off convenient multiples of 1001 until it's small enough to divide by 7. For example: for 39788, subtract 30030 (= 30 * 1001) to get 09758, then subtract 9009 (= 9 * 1001) to get 0749, which is divisible by 7
11: same trick with 1001
13: same trick with 1001
17: same trick with 1003
19: same trick with 1007
23: same trick with 2001
29: same trick with 203 or 2001
31: same trick with 3007 or 50003
37: same trick with 111
41: same trick with 205, 2009, 5002, or 10004
43: same trick with 301, 7009 or 50009
47: same trick with 705, 7003 or 50008
53: same trick with 901 or 1007
59: same trick with 1003 or 20001
61: same trick with 5002
67: same trick with 201 or 1005
71: same trick with 70006
73: same trick with 10001
79: same trick with 3002
83: same trick with 20003
89: same trick with 801 or 4005
97: same trick with 3007
101: same trick with 101
...

Important: the park and cemetery are open to the public from 9am until dusk. Please respect the grounds appropriately. Also, enjoy this walk through another time period of the city of Schenectady.

Part one is nestled beneath the oddly-placed brick.

my local geocaching group
New York Capital Region Geocachers
my caches
see my bookmarks list

Additional Hints (Decrypt)

[1:] guvax uvtu, guvax pbearef. [2:] fbzr ner snyyra nfyrrc va n xabgubyr. [3:] 10 jrfg bs glcvpny ybpngvba.. jbbql ivar haqreebbg.

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)