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>
2685: | \[L_{2685}\] | 22 × 11 × 31 × 359 × 3581 × 75181 × 51036481 × 2354651274169<13> × 1066737847220321<16> × 66932254279484647441<20> × 899044549089568232037609761<27> × 1241838188686863265000238974405361<34> × 128550126962666631562124895086327731<36> × 147742647596463304768561973534935464461<39> × 3183451699645582133895496246151849262603541381<46> × 66435668911799598372191796242947520130085649641<47> × 927855877750398888674391034495585551014258193665643493009<57> × 2656876895461939632086404234299254506143304212597452921374606380473311486184932595657115674251141<97> × 108321886573978276330726281695806082901781678277467877364262703617696546155026792606854170493788705170868853317571<114> |