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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>

1454: \[L_{1454}\] 3 × 7375238508582929<16> × 294143248511062782780928422724577491561<39> × 26237782544957382208117044298212864782641<41> × 43216101450546596100831972280714181683828223906542810358417068623616874301580060110381605138536423796500044071669828692451073187030658566419936405802733589984293393197061256763095840804223734600274514232426289<209>

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