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>
1536: | \[L_{1536}\] | 2 × 12289 × 21503 × 36922367 × 121293904579583<15> × 233860158486529<15> × 455666699738584063<18> × 1019850606646830767915009<25> × 13886785053860962490729330689<29> × 930820193139970396734793395503174970628156325806955418623<57> × 10045901211945615185770822340063765796721091525356133475714047<62> × 30286202050558410624155783763010863580477715668246295558116016694506298150553552824127489<89> |