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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>

1250: \[L_{1250}\] 3 × 41 × 401 × 570601 × 655001 × 1353439001 × 3028516005001<13> × 5465167948001<13> × 14753731575001<14> × 84817574770589638001<20> × 282728032560090105953775001<27> × 11746207404715953553478309292842566950446678817669051316891754210882299135405551546540379743686414727340924994863733006814665739679370844857925629865001<152>

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