Editing Lucas sequence (section)

==References==
<!--These appear to be in chronological order, please maintain.-->
*{{citation
 | last = Carmichael | first = R. D. | author-link = Robert Daniel Carmichael
 | doi = 10.2307/1967797
 | issue = 1/4
 | journal = Annals of Mathematics
 | pages = 30–70
 | title = On the numerical factors of the arithmetic forms α<sup>''n''</sup>±β<sup>''n''</sup>
 | volume = 15
 | year = 1913
 | jstor = 1967797 }}
* {{cite journal| first1=D. H. | last1=Lehmer
|title=An extended theory of Lucas' functions
|journal=Annals of Mathematics |year=1930
|volume=31 | number=3
|jstor=1968235 |pages=419–448 |bibcode=1930AnMat..31..419L | doi=10.2307/1968235
}}
* {{cite journal| first1=Morgan | last1=Ward
|title=Prime divisors of second order recurring sequences
|journal = Duke Math. J. | year=1954 | volume=21 | number=4
|pages=607–614 | mr=0064073 |doi=10.1215/S0012-7094-54-02163-8
| hdl=10338.dmlcz/137477
| hdl-access=free}}
* {{cite journal|first1=Lawrence | last1=Somer
|title=The divisibility properties of primary Lucas Recurrences with respect to primes
|year=1980 | journal=Fibonacci Quarterly | pages=316–334 | volume=18 | issue=4
| doi=10.1080/00150517.1980.12430140
| url=http://www.fq.math.ca/Scanned/18-4/somer.pdf
}}
* {{cite journal|first1=J. C. | last1=Lagarias
|journal=Pac. J. Math. | title=The set of primes dividing Lucas Numbers has density 2/3
|year=1985 | volume=118 | number=2 | pages=449–461 | mr=789184 | doi=10.2140/pjm.1985.118.449
| citeseerx=10.1.1.174.660 }}
* {{cite book | title=Prime Numbers and Computer Methods for Factorization | edition=2nd | author=Hans Riesel | author-link=Hans Riesel | series=Progress in Mathematics | volume=126 | publisher=Birkhäuser | year=1994 | isbn=0-8176-3743-5 | pages=107–121 }}
* {{ cite journal|first1=Paulo | last1=Ribenboim | first2=Wayne L. |last2=McDaniel
|title=The square terms in Lucas Sequences | journal=J. Number Theory |year=1996 | volume=58 | number=1 | pages=104–123 | doi=10.1006/jnth.1996.0068
| doi-access=free }}
* {{cite journal | first1=M. | last1=Joye | first2=J.-J. | last2=Quisquater | title=Efficient computation of full Lucas sequences | journal=Electronics Letters | year=1996 | volume=32 | number=6 | pages=537–538 | url=http://www.joye.site88.net/papers/JQ96lucas.pdf | doi=10.1049/el:19960359 | bibcode=1996ElL....32..537J | url-status=dead | archive-url=https://web.archive.org/web/20150202074230/http://www.joye.site88.net/papers/JQ96lucas.pdf | archive-date=2015-02-02 }}
* {{cite book |first= Paulo |last= Ribenboim |title=The New Book of Prime Number Records | publisher=[[Springer-Verlag]], New York | edition=eBook | isbn=978-1-4612-0759-7 | doi=10.1007/978-1-4612-0759-7 | year=1996}}
* {{cite book | first=Paulo | last=Ribenboim | author-link=Paulo Ribenboim | year=2000 | title=My Numbers, My Friends: Popular Lectures on Number Theory | publisher=[[Springer-Verlag]] | location=New York | isbn=0-387-98911-0 | pages=1–50 }}
* {{cite journal | first1=Florian | last1=Luca
|title=Perfect Fibonacci and Lucas numbers | year=2000
|journal = Rend. Circ Matem. Palermo 
|doi=10.1007/BF02904236 | volume=49 | number=2 | pages=313–318
| s2cid=121789033
}}
* {{cite journal
 | last = Yabuta | first = M.
 | journal = Fibonacci Quarterly
 | pages = 439–443
 | title = A simple proof of Carmichael's theorem on primitive divisors
 | url = http://www.fq.math.ca/Scanned/39-5/yabuta.pdf
 | volume = 39
 | year = 2001
 | issue = 5
 | doi = 10.1080/00150517.2001.12428701
 }}
*{{cite book
 | title = Proofs that Really Count: The Art of Combinatorial Proof
 | first1 = Arthur T.
 | last1 = Benjamin
 | author1-link = Arthur T. Benjamin
 | first2 = Jennifer J.
 | last2 = Quinn
 | author2-link = Jennifer Quinn
 | page = [https://archive.org/details/proofsthatreally0000benj/page/35 35]
 | publisher = [[Mathematical Association of America]]
 | series = Dolciani Mathematical Expositions
 | volume = 27
 | year = 2003
 | isbn = 978-0-88385-333-7
 | title-link = Proofs That Really Count
 }}
* [https://www.encyclopediaofmath.org/index.php/Lucas_sequence ''Lucas sequence''] at [[Encyclopedia of Mathematics]].
* {{MathWorld | urlname=LucasSequence | title=Lucas Sequence}}
* {{cite web| url = http://weidai.com/lucas.html|author=Wei Dai|title= Lucas Sequences in Cryptography|author-link=Wei Dai}}

[[Category:Recurrence relations]]
[[Category:Integer sequences]]