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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

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Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>

1000: \[L_{1000}\] 47 × 1601 × 3041 × 124001 × 6996001 × 3014307972001<13> × 1402587705167164001<19> × 3160438834174817356001<22> × 38856705409546629457212001<26> × 754443521566594151546570042623791984775588648001<48> × 1249976481751054211089356699940265657412260237297720289437904001<64>

Index range: 1000 – 1000 << prev next >>