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>
1042: | \[L_{1042}\] | 3 × 2083 × 1042001 × 1765147 × 72064721 × 11532536094793440049<20> × 95102775751161292627<20> × 223861976134080486001769<24> × 943555565956392148649843<24> × 13344953586083801992608300578129<32> × 22738195414543133719796295353959992485050872228117316306420871344289545413529<77> |