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Number Sequence

by numbersman
Tags: number, sequence
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numbersman
#1
Jan27-13, 03:55 PM
P: 1
I am currently looking at a number sequence to solve a puzzle. I have identified the following with the sequence:

1. There are 3,684 digits in the series (3,684 being a Keith Number)
2. The sequence 789 appears 47 times in the overall sequence (47 is also a Keith Number)

I'm thinking this series is somehow related to the Fibonacci sequence but I'm not sure. Any ideas?

The sequence:
*7896236709629334546783216478378938978252849324596459786243756784578478 47684784678478738133659813593781533673361618761626537456735674573557656 74917369417391753937367369457245737685721937587984575936773659744733569 75122653196283657254678355426372498563576349872737973797653276734678146 68985346784678467847847847847858970897890789078907689578457637326467473 27674677674879861896349178593608596130894610659127809387609686909836097 58965930845351345747545735771376089763370976533453489265296578493253265 92527849356289734784784265346534653635346553653465784786932847652893652 84937652784936592873659286592875609347691876516591832746041876591836591 78436589176523894562985092867293256652645480876609370983609768736676643 59260121431431431658927465456265531426594511463987987485765586897345978 64589268265958725696478765918451865522897365892734657892436578924365789 32465782657826589726589273636789243785923786784585678943652774523453252 33653653457885565745265364567856789789082553514351345134513463674576764 78365783568759468365876895678365847685678768768678567853787682346367478 56847847856784653743578567857435768768478578768578457683657836736578557 47845789458478467843657847857846784744576457645763658768956778265236527 89365893764598726496529873659821345785678111157326459876134561986985716 34856789078905964768758721364845432342345562652465321354585789708978947 65213651345370987090219789208347092187430926592760592760928475609324760 26092760397029876029762709265125345789324659827609826509276092760982746 08925809685324089672098659172547653654265486587478584758765875487582735 41832458320445782459152515765487132645987365978213659278365028965982659 82765982695861928756324986529378532983765789326592783652897335892736527 89346592837651892653126443654243143214045458769843945979065094847609078 99754321647837893897825284932459645978687375678457847847684784678457873 81336598135937815336733616187667653745673567457355765674917369417391753 93736736945724573736572193758798457593677365974473356975122653196283657 25467835542637249856357634987273797379765327673467814668985346784678557 84784784784785897089789078907890768957845763732646747327674677674879861 89634917859360859613089461065912780938760968690383609758965930845351345 74754573577137608976337097653345348926529657849325326592527849356289734 78478426534653465363534655365346578478693284765289365284937652784936592 87365928659287560934769187651659183274604187659183659178436589176523894 56298509286729325665264548087660937098360976873667664359260121431431431 65892746545626553142659451146398798748576558689734597864589268265958725 69647876591845186552289736589273465789243657892436578932465782657826589 72658927363678924378592378678458567894365277452345325233653653457885565 74526536456785678978908255351435134513451346367457676478365783568759468 36587689567836584768567876876867856785378768234636747856847847856784653 74357856785743576876847857876857845768365783673657855747845789458478467 84365784785784678474457645764576365876895677826523652789365893764598726 49652987365982134578567811115732645987613456198698571634856789078906890 19384659872643785961485971643965197846591876513783651786591851765789163 78591689176597813659817658176385971634578916349876591876435978213452345 61397561983765189736459817364758617856198651789362346457591786598173659 78164378591768907473576263519783465891765918736517836591786357891262363 65917823452345365917865978136579186597186578916578916578916359781659178 36513456478567847857789365918765234523451978659182345234523576591783659 17836578913659781365981767859619519378652345234537647867089918976591786 45891763516437584554745764754785897686576465478645845785678745678567857 6465576474476574765465784578587456487653653563653465357857845786*
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ramsey2879
#2
Jan27-13, 10:20 PM
P: 894
I could think of many numbers having the properties that you mentioned, but the properties you mentioned seem insignificant. Maybe, you need to inform us what type of puzzle you are trying to solve and why the printed format with a break down the middle. Also, who cares whether the number is related to the Fibonacci sequence. I can't think of why anyone would worry about such a big number that is obviously not prime.
dodo
#3
Jan28-13, 04:12 AM
P: 688
The only thing I can see is a large block repeated twice, which I marked with <> . There are small differences between the two repetitions of this block, marked with underscores "_".

Other than that, I agree with ramsey2879 in that a bit more context may help.

789623670962933454678_<3216478378938978252849324596459786_24_3756784578478476847846784_787381336598135937
815336733616187616_2_653745673567457355765674917369417391753937367369457245737_68_5721937587984575936773
6597447335697512265319628365725467835542637249856357634987273797379765327673467814668985346784678_46_7
8478478478478589708978907890789076895784576373264674732767467767487986189634917859360859613089461065
912780938760968690_9_836097589659308453513457475457357713760897633709765334534892652965784932532659252
7849356289734784784265346534653635346553653465784786932847652893652849376527849365928736592865928756
0934769187651659183274604187659183659178436589176523894562985092867293256652645480876609370983609768
7366766435926012143143143165892746545626553142659451146398798748576558689734597864589268265958725696
4787659184518655228973658927346578924365789243657893246578265782658972658927363678924378592378678458
5678943652774523453252336536534578855657452653645678567897890825535143513451345134636745767647836578
3568759468365876895678365847685678768768678567853787682346367478568478478567846537435785678574357687
6847857876857845768365783673657855747845789458478467843657847857846784744576457645763658768956778265
236527893658937645987264965298736598213457856781111573264598761345619869857163485678907890>_5964768758

7213648454323423455626524653213545857897089789476521365134537098709021978920834709218743092659276059
2760928475609324760260927603970298760297627092651253457893246598276098265092760927609827460892580968
5324089672098659172547653654265486587478584758765875487582735418324583204457824591525157654871326459
8736597821365927836502896598265982765982695861928756324986529378532983765789326592783652897335892736
5278934659283765189265312644365424314321404545876984394597906509484760907899754

______________________<3216478378938978252849324596459786_87_37567845784784768478467845787381336598135937
8153367336161876_6_7_653745673567457355765674917369417391753937367369457245737_36_5721937587984575936773
6597447335697512265319628365725467835542637249856357634987273797379765327673467814668985346784678_55_7
8478478478478589708978907890789076895784576373264674732767467767487986189634917859360859613089461065
912780938760968690_3_836097589659308453513457475457357713760897633709765334534892652965784932532659252
7849356289734784784265346534653635346553653465784786932847652893652849376527849365928736592865928756
0934769187651659183274604187659183659178436589176523894562985092867293256652645480876609370983609768
7366766435926012143143143165892746545626553142659451146398798748576558689734597864589268265958725696
4787659184518655228973658927346578924365789243657893246578265782658972658927363678924378592378678458
5678943652774523453252336536534578855657452653645678567897890825535143513451345134636745767647836578
3568759468365876895678365847685678768768678567853787682346367478568478478567846537435785678574357687
6847857876857845768365783673657855747845789458478467843657847857846784744576457645763658768956778265
236527893658937645987264965298736598213457856781111573264598761345619869857163485678907890>_6890193846

5987264378596148597164396519784659187651378365178659185176578916378591689176597813659817658176385971
6345789163498765918764359782134523456139756198376518973645981736475861785619865178936234645759178659
8173659781643785917689074735762635197834658917659187365178365917863578912623636591782345234536591786
5978136579186597186578916578916578916359781659178365134564785678478577893659187652345234519786591823
4523452357659178365917836578913659781365981767859619519378652345234537647867089918976591786458917635
1643758455474576475478589768657646547864584578567874567856785764655764744765747654657845785874564876
53653563653465357857845786


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