Palindrome 3 Mystery Cache
Hidden : 8/17/2013
Difficulty:
2 out of 5
Terrain:
1.5 out of 5

Size: Size: micro (micro)

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Geocache Description:


Part of the Amazing Race (GC4EY92) event cache! The BLUE checkpoint! For those who haven't took part in the event, now you have a chance to re-experience the fun of hunting the checkpoints!


A palindrome is a word, phrase, number, or other sequence of symbols or elements, whose meaning may be interpreted the same way in either forward or reverse direction.

For example,

English name: Ada, Bob, Hannah, Otto
English phrase: “Rats live on no evil star”, “Eva, can I stab bats in a cave?"
Chinese phrase: “油麻地遍地麻油”
Chinese poem: “小巷殘月凝天空，親人故土鄉情濃。笑聲猶在空懷舊，憔心客愁滿蒼穹。穹蒼滿愁客心憔，舊懷空在猶聲笑。濃情鄉土故人親，空天凝月殘巷小。” Japanese word: “日曜日”

So, you can easily understand that 101, 575, 969 are palindrome numbers. Also, most of numbers can refer to a palindrome number by several reverse-and-add processes (iterative process of repeatedly reversing its digits and adding the resulting numbers).

For example,

163 >> 163+361 = 524 >> 524+425 = 949

748 >> 748+847 = 1595 >> 1595+5951 = 7546 >> 7546+6457 = 14003 >> 14003+30041 = 44044

By 2 iterations, 163 can refer to a palindrome number, I call P(163) = 2
By 4 iterations, 748 can refer to a palindrome number, I call P(748) = 4

The cache location:
N 22° 18. P(78) P(94) P(296)
E 114° 13. P(688) P(799) P(1063)


P.S. In fact, not all numbers can refer to a palindrome number by above process. The smallest known number that cannot refer to a palindrome number is 196. This kind of numbers are named as Lychrel numbers.




Palindrome Series:
GC4C5DT Palindrome 1
GC4H4H6 Palindrome 2
GC4K4T8 Palindrome 3

Additional Hints (Decrypt)

Ynz Gva zrnaf OYHR svryq

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)


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