Fermat's assertion about primes of the form x² + 3y²

File
Contributors
Publisher
Florida Atlantic University
Date Issued
2007
Description
Fermat's assertion that "every prime number which surpasses by one a multiple of three [sic] is composed of a square and the triple of another square" raises further questions about primes and other quadratic forms. The interest over primes does not stop at x² + 3y², although this form by itself is a complex way of analyzing simple primes. We present an algorithm for solving p= x² + 3y², first discovered by Lagrange, and show that this algorithm does not work for other representations of numbers by quadratic forms.
Note

by Olimpia Lukacs.

Language
Type
Genre
Extent
v, 23 leaves : ill.
Identifier
314712617
OCLC Number
314712617
Rights

Copyright © is held by the author, with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder.

Additional Information
by Olimpia Lukacs.
Thesis (B.A.)--Florida Atlantic University, Honors College, 2007.
Bibliography: leaf 23.
Electronic reproduction. Boca Raton, Fla., 2007. Mode of access: World Wide Web.
Date Backup
2007
Date Text
2007
Date Issued (EDTF)
2007
Extension


FAU
FAU
admin_unit="FAU01", ingest_id="dep95773_ing1498", creator="creator:CTHOMAS", creation_date="2007-07-18 14:17:01", modified_by="super:SPATEL", modification_date="2009-04-09 15:01:18"

IID
FADT11614
Issuance
multipart monograph
Organizations
Person Preferred Name

Lukacs, Olimpia.
Physical Description

electronic
electronic resource
v, 23 leaves : ill.
Title Plain
Fermat's assertion about primes of the form x² + 3y²
Use and Reproduction
Copyright © is held by the author, with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder.
Origin Information

2007
multipart monograph
Florida Atlantic University
Physical Location
FBoU FAUER
Title
Fermat's assertion about primes of the form x² + 3y²
Other Title Info

Fermat's assertion about primes of the form x² + 3y²