Skip to content

Project Euler 13 Mystery Cache

Hidden : 1/4/2015
Difficulty:
1.5 out of 5
Terrain:
1.5 out of 5

Size: Size:   micro (micro)

Join now to view geocache location details. It's free!

Watch

How Geocaching Works

Related Web Page

Please note Use of geocaching.com services is subject to the terms and conditions in our disclaimer.

Geocache Description:

Acknowledgements


This cache was inspired by Project Euler.

General notes


  • To solve Project Euler puzzles, you will probably have to write a computer program.
  • Many of the containers are small, and contain neither pen nor pencil.
  • There are explicit finding notes in each geochecker.

The puzzle


The sum of the hundred numbers below has 52 digits.

12345678901234567890123456789012345678901234567890
12730936429207421320760311522988403967715361085992
13116193957180274751397166256964462256529487604094
13501451485153128182034020990940520545343614122196
13886709013125981612670875724916578834157740640298
14271966541098835043307730458892637122971867158400
14657224069071688473944585192868695411785993676502
15042481597044541904581439926844753700600120194604
15427739125017395335218294660820811989414246712706
15812996652990248765855149394796870278228373230808
16198254180963102196492004128772928567042499748910
16583511708935955627128858862748986855856626267012
16968769236908809057765713596725045144670752785114
17354026764881662488402568330701103433484879303216
17739284292854515919039423064677161722299005821318
18124541820827369349676277798653220011113132339420
18509799348800222780313132532629278299927258857522
18895056876773076210949987266605336588741385375624
19280314404745929641586842000581394877555511893726
19665571932718783072223696734557453166369638411828
20050829460691636502860551468533511455183764929930
20436086988664489933497406202509569743997891448032
20821344516637343364134260936485628032812017966134
21206602044610196794771115670461686321626144484236
21591859572583050225407970404437744610440271002338
21977117100555903656044825138413802899254397520440
22362374628528757086681679872389861188068524038542
22747632156501610517318534606365919476882650556644
23132889684474463947955389340341977765696777074746
23518147212447317378592244074318036054510903592848
23903404740420170809229098808294094343325030110950
24288662268393024239865953542270152632139156629052
24673919796365877670502808276246210920953283147154
25059177324338731101139663010222269209767409665256
25444434852311584531776517744198327498581536183358
25829692380284437962413372478174385787395662701460
26214949908257291393050227212150444076209789219562
26600207436230144823687081946126502365023915737664
26985464964202998254323936680102560653838042255766
27370722492175851684960791414078618942652168773868
27755980020148705115597646148054677231466295291970
28141237548121558546234500882030735520280421810072
28526495076094411976871355616006793809094548328174
28911752604067265407508210349982852097908674846276
29297010132040118838145065083958910386722801364378
29682267660012972268781919817934968675536927882480
30067525187985825699418774551911026964351054400582
30452782715958679130055629285887085253165180918684
30838040243931532560692484019863143541979307436786
31223297771904385991329338753839201830793433954888
31608555299877239421966193487815260119607560472990
31993812827850092852603048221791318408421686991092
32379070355822946283239902955767376697235813509194
32764327883795799713876757689743434986049940027296
33149585411768653144513612423719493274864066545398
33534842939741506575150467157695551563678193063500
33920100467714360005787321891671609852492319581602
34305357995687213436424176625647668141306446099704
34690615523660066867061031359623726430120572617806
35075873051632920297697886093599784718934699135908
35461130579605773728334740827575843007748825654010
35846388107578627158971595561551901296562952172112
36231645635551480589608450295527959585377078690214
36616903163524334020245305029504017874191205208316
37002160691497187450882159763480076163005331726418
37387418219470040881519014497456134451819458244520
37772675747442894312155869231432192740633584762622
38157933275415747742792723965408251029447711280724
38543190803388601173429578699384309318261837798826
38928448331361454604066433433360367607075964316928
39313705859334308034703288167336425895890090835030
39698963387307161465340142901312484184704217353132
40084220915280014895976997635288542473518343871234
40469478443252868326613852369264600762332470389336
40854735971225721757250707103240659051146596907438
41239993499198575187887561837216717339960723425540
41625251027171428618524416571192775628774849943642
42010508555144282049161271305168833917588976461744
42395766083117135479798126039144892206403102979846
42781023611089988910434980773120950495217229497948
43166281139062842341071835507097008784031356016050
43551538667035695771708690241073067072845482534152
43936796195008549202345544975049125361659609052254
44322053722981402632982399709025183650473735570356
44707311250954256063619254443001241939287862088458
45092568778927109494256109176977300228101988606560
45477826306899962924892963910953358516916115124662
45863083834872816355529818644929416805730241642764
46248341362845669786166673378905475094544368160866
46633598890818523216803528112881533383358494678968
47018856418791376647440382846857591672172621197070
47404113946764230078077237580833649960986747715172
47789371474737083508714092314809708249800874233274
48174629002709936939350947048785766538615000751376
48559886530682790369987801782761824827429127269478
48945144058655643800624656516737883116243253787580
49330401586628497231261511250713941405057380305682
49715659114601350661898365984689999693871506823784
50100916642574204092535220718666057982685633341886
50486174170547057523172075452642116271499759862527

To find this cache, calculate that sum. Then, quarter the sum into four 13 digit numbers and add those together.


Additional Hints (Decrypt)

Frr gur trbpurpxre.

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)