Article
On the 1/3 Density of Odd Ranked Primes in Lucas Sequences
Authors
Abstract
It seems that companion Lucas sequences often have a two-third density of prime divisors. Is it indeed the case? And if so, why? In this paper we present heuristics that predict this 2/3 proportion before actually proving that 2/3 is the correct prime density for almost all companion Lucas sequences.
Keywords
Prime density, Lucas sequence, Legendre symbol, number field.
Citation
Ballot, C. (2008). On the 1/3 density of odd ranked primes in lucas sequences. Uniform Distribution Theory, 3(2), 129–145.
C. Ballot, “On the 1/3 density of odd ranked primes in lucas sequences,” Uniform Distribution Theory, vol. 3, no. 2, pp. 129–145, 2008.
Ballot C. On the 1/3 density of odd ranked primes in lucas sequences. Uniform Distribution Theory. 2008;3(2):129–145.
Ballot, C. (2008), ‘On the 1/3 density of odd ranked primes in lucas sequences’, Uniform Distribution Theory, 3(2), pp. 129–145.
Ballot, Christian. “On the 1/3 Density of Odd Ranked Primes in Lucas Sequences.” Uniform Distribution Theory, vol. 3, no. 2, 2008, pp. 129–145.
Ballot, Christian. “On the 1/3 Density of Odd Ranked Primes in Lucas Sequences.” Uniform Distribution Theory 3, no. 2 (2008): 129–145.
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Published by: Engineering Journals
