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>
| 3225: | \[L_{3225}\] | 22 × 11 × 31 × 101 × 151 × 431 × 1291 × 1721 × 6451 × 6709 × 12301 × 18451 × 25801 × 32251 × 144481 × 308311 × 2564521 × 17861341 × 218758201 × 1202421901 × 691419023311<12> × 761882591401<12> × 1266715025281<13> × 4852036423051<13> × 66163448516461<14> × 497882131309853461<18> × 602619054134355101<18> × 76886075933915252551<20> × 301282409493827815693501<24> × 1594403967069207665025028111<28> × 9201239825646414996127608251<28> × 1585910931983812067077058014831201<34> × 50680184234874110049415896576023845801<38> × 150371376383133591433167147333157755882511918832201703506628111737877288348862917301<84> × 33336596758028712939363849995725723199803441314607439986371479089063498505728480457701265580611507065619701<107> × 125657108078667247043877428035347637245055792280988684724678490686954967359674566012514709256527661503709435448498080454689551737744451<135> |