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Number Sequence

  1. Jan 27, 2013 #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:
    *789623670962933454678321647837893897825284932459645978624375678457847847684784678478738133659813593781533673361618761626537456735674573557656749173694173917539373673694572457376857219375879845759367736597447335697512265319628365725467835542637249856357634987273797379765327673467814668985346784678467847847847847858970897890789078907689578457637326467473276746776748798618963491785936085961308946106591278093876096869098360975896593084535134574754573577137608976337097653345348926529657849325326592527849356289734784784265346534653635346553653465784786932847652893652849376527849365928736592865928756093476918765165918327460418765918365917843658917652389456298509286729325665264548087660937098360976873667664359260121431431431658927465456265531426594511463987987485765586897345978645892682659587256964787659184518655228973658927346578924365789243657893246578265782658972658927363678924378592378678458567894365277452345325233653653457885565745265364567856789789082553514351345134513463674576764783657835687594683658768956783658476856787687686785678537876823463674785684784785678465374357856785743576876847857876857845768365783673657855747845789458478467843657847857846784744576457645763658768956778265236527893658937645987264965298736598213457856781111573264598761345619869857163485678907890596476875872136484543234234556265246532135458578970897894765213651345370987090219789208347092187430926592760592760928475609324760260927603970298760297627092651253457893246598276098265092760927609827460892580968532408967209865917254765365426548658747858475876587548758273541832458320445782459152515765487132645987365978213659278365028965982659827659826958619287563249865293785329837657893265927836528973358927365278934659283765189265312644365424314321404545876984394597906509484760907899754321647837893897825284932459645978687375678457847847684784678457873813365981359378153367336161876676537456735674573557656749173694173917539373673694572457373657219375879845759367736597447335697512265319628365725467835542637249856357634987273797379765327673467814668985346784678557847847847847858970897890789078907689578457637326467473276746776748798618963491785936085961308946106591278093876096869038360975896593084535134574754573577137608976337097653345348926529657849325326592527849356289734784784265346534653635346553653465784786932847652893652849376527849365928736592865928756093476918765165918327460418765918365917843658917652389456298509286729325665264548087660937098360976873667664359260121431431431658927465456265531426594511463987987485765586897345978645892682659587256964787659184518655228973658927346578924365789243657893246578265782658972658927363678924378592378678458567894365277452345325233653653457885565745265364567856789789082553514351345134513463674576764783657835687594683658768956783658476856787687686785678537876823463674785684784785678465374357856785743576876847857876857845768365783673657855747845789458478467843657847857846784744576457645763658768956778265236527893658937645987264965298736598213457856781111573264598761345619869857163485678907890689019384659872643785961485971643965197846591876513783651786591851765789163785916891765978136598176581763859716345789163498765918764359782134523456139756198376518973645981736475861785619865178936234645759178659817365978164378591768907473576263519783465891765918736517836591786357891262363659178234523453659178659781365791865971865789165789165789163597816591783651345647856784785778936591876523452345197865918234523452357659178365917836578913659781365981767859619519378652345234537647867089918976591786458917635164375845547457647547858976865764654786458457856787456785678576465576474476574765465784578587456487653653563653465357857845786*
     
    Last edited: Jan 27, 2013
  2. jcsd
  3. Jan 27, 2013 #2
    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.
     
  4. Jan 28, 2013 #3
    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.

    Code (Text):
    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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