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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>

1038: \[L_{1038}\] 2 × 32 × 203449 × 4046123 × 68520477202692467<17> × 208617617061488449<18> × 793134664113651192115561<24> × 9926174206197176782314412625771198320265464117594737043<55> × 5094519753667467088311559707565789812201987353317995268506141287150935805913083988563876747<91>

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