On Applications of the Linear Recurrence Relationships to Pseudoprimes

Tian-Xiao He; P. J.-S. Shiue

doi:10.3770/j.issn:2095-2651.2019.06.003

On Applications of the Linear Recurrence Relationships to Pseudoprimes

Tian-Xiao He, P. J.-S. Shiue

Illinois Wesleyan University

Research output: Journal Article › Article › peer-review

Abstract

We present here some results on the applications of linear recursive sequences of order 2 to the Fermat pseudoprimes, Fibonacci pseudoprimes, and Dickson pseudoprimes.

Original language	American English
Journal	Journal of Mathematical Research with Applications
Volume	39
DOIs	https://doi.org/10.3770/j.issn:2095-2651.2019.06.003
State	Published - Nov 20 2019

Keywords

Dickson numbers
Dickson pseudoprimes
Fermat’s pseudoprimes
Fibonacci numbers
Fibonacci pseudoprimes
Girard-Waring identities
Lucas numbers
Recursive sequences

Disciplines

Applied Mathematics
Mathematics

Access to Document

10.3770/j.issn:2095-2651.2019.06.003License: Unspecified

Cite this

@article{d3ba40959f0f421388f0bc34f618d00c,

title = "On Applications of the Linear Recurrence Relationships to Pseudoprimes",

abstract = " We present here some results on the applications of linear recursive sequences of order 2 to the Fermat pseudoprimes, Fibonacci pseudoprimes, and Dickson pseudoprimes.",

keywords = "Dickson numbers, Dickson pseudoprimes, Fermat{\textquoteright}s pseudoprimes, Fibonacci numbers, Fibonacci pseudoprimes, Girard-Waring identities, Lucas numbers, Recursive sequences",

author = "Tian-Xiao He and Shiue, \{P. J.-S.\}",

year = "2019",

month = nov,

day = "20",

doi = "10.3770/j.issn:2095-2651.2019.06.003",

language = "American English",

volume = "39",

journal = "Journal of Mathematical Research with Applications",

}

TY - JOUR

T1 - On Applications of the Linear Recurrence Relationships to Pseudoprimes

AU - He, Tian-Xiao

AU - Shiue, P. J.-S.

PY - 2019/11/20

Y1 - 2019/11/20

N2 - We present here some results on the applications of linear recursive sequences of order 2 to the Fermat pseudoprimes, Fibonacci pseudoprimes, and Dickson pseudoprimes.

AB - We present here some results on the applications of linear recursive sequences of order 2 to the Fermat pseudoprimes, Fibonacci pseudoprimes, and Dickson pseudoprimes.

KW - Dickson numbers

KW - Dickson pseudoprimes

KW - Fermat’s pseudoprimes

KW - Fibonacci numbers

KW - Fibonacci pseudoprimes

KW - Girard-Waring identities

KW - Lucas numbers

KW - Recursive sequences

UR - http://jmre.ijournals.cn/en/ch/reader/create_pdf.aspx?file_no=20190603&flag=1&journal_id=en&year_id=2019

U2 - 10.3770/j.issn:2095-2651.2019.06.003

DO - 10.3770/j.issn:2095-2651.2019.06.003

M3 - Article

VL - 39

JO - Journal of Mathematical Research with Applications

JF - Journal of Mathematical Research with Applications

ER -

On Applications of the Linear Recurrence Relationships to Pseudoprimes

Abstract

Keywords

Disciplines

Access to Document

Other files and links

Cite this