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@inproceedings{Lagarias1985TheSO, title={The Set of Primes Dividing the Lucas Numbers Has Density 2 / 3}, author={Jeffrey C. Lagarias}, year={1985} }

- Published 1985

Dedicated to the memory of Ernst Straus The Lucas numbers L n are defined by L 0 = 2 , L 1 = 1 and the recurrence L n = L n − 1 + L n − 2 . The set of primes S L = { p: pdivides L n for some n } has density 2/3. Similar density results are proved for sets of primes S U = { p: p divides U n for some n } for certain other special second-order linear recurrences { U n }. The proofs use a method of Hasse.

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