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>
2895: | \[L_{2895}\] | 22 × 11 × 31 × 1931 × 5791 × 303011 × 335821 × 2240731 × 76225351 × 813332881 × 1966789661 × 5603852930131<13> × 4208996011613621522251<22> × 263977542497696689248541<24> × 63546731811662828327715541<26> × 935527893146187207403151261<27> × 3735751676524712280094142629411826877592992811<46> × 197338780986758366698872346949988950433485032670191<51> × 4990065512819490522909214387612409622368873056347691<52> × 21981340694527061961345992310778822141893876875704376148380187994830312106441<77> × 129313000036836839034179867657505399359408824574272387634694245418782174720199286860181<87> × 63681227872559807491845802607303267509619157485919584561188038374118048402485831711020916395102583499386261952920067659185341235501<131> |