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
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
2022: | \[L_{2022}\] | 2 × 32 × 8089 × 392267 × 444841 × 3031242733721<13> × 79163471551163<14> × 29097080514969289<17> × 513818515048347857040083413414906201<36> × 888285660164970474822081669480069094779067491081831700922212921<63> × 240823100103405544167696990577035215682324285390608918545568748778212148123<75> × 19186650170192414176618016901095139662376929725775303789682249289092445419018547802891487877574732798741719639308992829186693199949338239528309686740732630002027857441437496294313013167852587<191> |