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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>

* 2746: \[L_{2746}\] 3 × 42189710532462399409<20> × [59942151371632322133490827674796537099251539572904084381180156375308647679553777834841827916737381336979242481420458601525996923997220505280688788629781835278723147739341063362074814600843230317527332339760826188958470677447619005996243563103827387271861685869889968713746329065127284595083444896675876748017122894777657991481307964510612706678814367887762566474256304915912335104717472165208501857868019916800309267876984902446849510344120508902965399776168962873141632950652750889872932492361036631151954435574796447680284131731865726728584419491523609<554>]

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