tables > lucas

Lucas Sequence

Defined with \(L_0=2\), \(L_1=1\), and \(L_n=L_{n-1}+L_{n-2}\) when \(n\geq2\). Related to the Fibonacci sequence.

Table

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Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>

* 4928: \[L_{4928}\] 127 × 2687 × 29567 × 285823 × 186812208641<12> × 5545721471489<13> × 18898487880449<14> × 136888723981183<15> × 9209563711729921<16> × 186211439748832565761<21> × 298265401539656736769<21> × 50175468903933448860929<23> × 1696372959419763718936233640481341762009277301583325762687<58> × 36025526066162272450314332969217992252136486715470056647025597441<65> × [641927356329478480675596784899329652155136152924468539633300930907226939863183885902443912742189852466603769286737477535895257644002657018340738321850430821615781427875720932450956618664257081871293021416924484348914964996245031390415818648327704519420248314325147336263017569704229941154964836005498141051033151206105793970440465030050570923916607148562801148060137631425164231277245311012773603536966408641995014048497349017001265678985347229373215436804582685791425103108241494264403074552588195855354067350627149739613537877136743889867062064401096039957983353670554084612661957673930126976418207865360335998470254131161913871147504758423155809587481446730187299164692761341983657703367622863477632890728115168218176947058615238040470464716744008321170465663<762>]

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