Sur la division euclidienne d'un nombre premier par son rangM. Balazard et A. Vavoda ont rÃ©digÃ© un article intitulÃ© "Division euclidienne" dans la revue Pour la Science no 239, de septembre 1997.

<http://www.desargues.univ-lyon1.fr/home/mizony/progression.html>

Ten Primes

On 2 March 1998 using my PC/Windows program, cp10, Manfred Toplic found ten consecutive primes in arithmetic progression

<http://www.ltkz.demon.co.uk/ar2/10primes.htm>

Factoring Papers

<http://www.crypto-world.com/FactorPapers.html>

PRIMES is in P

Prof. Manindra Agarwal and two of his students, Nitin Saxena and Neeraj Kayal, have discovered a polynomial time deterministic algorithm to test if an input number is prime or not.

<http://www.cse.iitk.ac.in/news/primality.html>

Small gaps between consecutive primes

Recent work of D. Goldston and C. Yildirim

Dan Goldston to expound on his prime number theory result at Palo Alto math workshop

<http://aimath.org/goldston_tech/>

Notes: Goldston & Yildirim's Result

John Derbyshire

<http://olimu.com/Notes/GoldstonYildirim.htm>

Small gaps between consecutive primes

<http://www.math.boun.edu.tr/instructors/yildirim/yildirimtech.htm>

PolynÃ´mes donnant beaucoup de valeurs premiÃ¨res

FranÃ§ois Dress UniversitÃ© Bordeaux 1

<http://www.math.u-bordeaux.fr/~dress/records.html>

music of the primes

Marcus du Sautoy

The prime number lottery + plus magazine

<http://www.musicoftheprimes.com/index.htm>

PROJETS - PROJECTS

The ECMNET Project

<http://www.loria.fr/~zimmerma/records/ecmnet.html>

PAGES PERSONNELLES - HOME PAGES

Henri Lifchitz

<http://ourworld.compuserve.com/homepages/hlifchitz/>

Cyril Banderier

<http://www-lipn.univ-paris13.fr/~banderier/>

Paul Zimmermann

<http://www.loria.fr/~zimmerma/>

Jan Kristian Haugland___

<http://home.hia.no/~jkhaug00/maths.htm>

Chris Caldwell

<http://www.utm.edu/~caldwell/>

Dan Goldston Publications

<http://www.math.sjsu.edu/~goldston/publications.htm>

ERREURS

Bertleson's Number

<http://www.seanet.com/~ksbrown/kmath049.htm>

Bertleson's Number

<http://203.162.7.73/webs/math/mathpages/www.seanet.com/~ksbrown/kmath049.htm>

PROBLÈMES - PROBLEMS

How do you find Prime Numbers?

<http://forum.swarthmore.edu/~isaac/problems/prime2.html>

five smarandache conjectures on primes

edited by M.L.Perez

primepuzzles.net Problems & Puzzles: Conjectures ndrica's Conjecture

<http://www.gallup.unm.edu/~smarandache/conjprim.txt>

Prime Conjectures and Open Questions

<http://www.utm.edu/research/primes/notes/conjectures/>

DEMOS

Premiers probables

Java et JavaScript

<../calc/arit/probprimejava.html>

Nombres premiers (Crible d'EratosthÃ¨ne)

Java et JavaScript

<../calc/arit/primejava.html>

Primality testing with Fermat's little theorem

Fred Richman Florida Atlantic University

<http://www.math.fau.edu/Richman/carm.htm>

Le hasard
les entiers 4271, ZJ=25×26+9=659 et 29 sont premiers, ainsi que 4271-659-29=3583 ou encore 4461+XN+29=4461+611+29=5101.

EXEMPLES - EXAMPLES

A visual Sieve for Prime Numbers

invented by Yuri MATIYASEVICH and Boris STECHKIN

<http://www.informatik.uni-stuttgart.de/ifi/ti/personen/Matiyasevich/Journal/Sieve/Sieve.html>

IMAGES

Pulchritudinous primes Visualizing The distribution of Primes Numbers

<http://yoyo.cc.monash.edu.au/~bunyip/primes/#2d>

ANIMATIONS - MOVIES

Amazing Cicada life cycle

Sir David Attenborough's Life in the Undergrowth - BBC wildlife

Certaines cigales ont un cycle de vie de 13 ou de 17 ans.

<http://www.youtube.com/watch?v=tjLiWy2nT7U>

LOGICIELS - SOFTWARES

PrimeFinder Home

<http://primefindersoftware.tripod.com/>

ECM client/server

<http://www.interlog.com/~tcharron/ecm.html>

Proth.exe - by Yves Gallot

A Windows program for finding very large primes

<http://www.utm.edu/research/primes/programs/gallot/>

PROGRAMMES

Eratosthenes sieve___C program

<http://perso.wanadoo.fr/jean-paul.davalan/calc/arit/crible.c.txt>

SITES FTP

ftp.cwi.nl pmontgom

MÃ©thodes de factorisation

<ftp://ftp.cwi.nl/pub/pmontgom/>

JAVA

AST Quantum Algorithm Simulator (A Shor Thing)

A Java simulation of the algorithmic steps of a model of Shor's algorithm. The simulator can be used to investigate Shor's method of factoring for numbers up to 10 digits in length.

<http://www.dcs.ex.ac.uk/~dacrick/AST/>

Quantum Computing and Shor's Algorithm

Matthew Hayward

<http://www.imsa.edu/~matth/cs299/>

JAVASCRIPT

Nombres premiers

Jean-Paul Davalan

Construction d'une table de nombres premiers (java et javascript). Recherche de n-uplets de nombres premiers consÃ©cutifs de diffÃ©rences donnÃ©es. Nombres premiers probables.

<http://perso.wanadoo.fr/jean-paul.davalan/calc/arit/primesindex.html>

The Prime Number Shitting Bear

Alkulukuja Paskova Karhu

<http://www.primenumbershittingbear.com/>

JavaScripts

Cyptography and Number Theory, Calculus, Interest, Modern algebra and other things, Liberal arts mathematics, One shot mysterious stuff

<http://www.math.fau.edu/Richman/jscripts.htm>

LIVRES - BOOKS

Variations modernes sur la suite des nombres premiers

De la densitÃ© des sin(p) lorsque p parcourt l'ensemble des nombres premiers.

Voici donc un livre, plutÃ´t destinÃ© Ã un public de non spÃ©cialistes. On y traite de nombres premiers, et surtout d'une mÃ©thode introduite par la mathÃ©maticien russe Vinogradov vers 1937 pour les Ã©tudier.

Olivier RamarÃ© UniversitÃ© de Lille I

<http://math.univ-lille1.fr/~ramare/Maths/PetitLivre.html>

SUJETS - SUBJECTS

The Prime Number Theorem

Jonas Wiklund

<http://abel.math.umu.se/~jwi/articles/primenumberthm/primenumberthm.html>

Discovery of a Lost Factoring Machine

Shallit, Williams, Morain

Built by a French amateur, E.-O. carissan, around 1919.

<http://www.math.uwaterloo.ca/~shallit/Papers/carissan.html>

Unique factorization

Daniel R. Grayson

Short proofs in mathematics

<http://www.math.uiuc.edu/~dan/ShortProofs/uf.htm>

Nombres premiers: mystÃ¨res et enjeux

Jean-Marie De Koninck

Un peu d'histoire. Quelques Ã©quivalences de l'hypothÃ¨se de Riemann (HR).La conjecture abc (1985). Nombres puissants, nombres premiers de Wieferich et thÃ©orÃ¨me de Fermat. Les nombres premiers en progression arithmÃ©tique. Les tests de primalitÃ©. La mÃ©thode RSA et la mÃ©thode des courbes elliptiques. Le problÃ¨me P versus NP.

<http://campmath.uqam.ca/infos2004/resDeKoninck2004.pdf>

DOCUMENTS - PAPERS

number theory

<http://www.britannica.com/bcom/eb/article/6/0,5716,117296%2B2,00.html>

Prime numbers

<http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Prime_numbers.html#45>

Prime Numbers

<http://pass.maths.org.uk/subject.shtml#Primes>

Gaussian PMrime

Gaussian primes are Gaussian Integers a+ib for which the norm n(a+ib)=a2+b2 is Prime or, if b=0, a is a Prime Integer such that |a|=3(mod 4).

<http://mathworld.wolfram.com/GaussianPrime.html>

Eisenstein Integer

<http://mathworld.wolfram.com/EisensteinInteger.html>

Proofs of the Quadratic Reciprocity Law

<http://www.rzuser.uni-heidelberg.de/~hb3/rchrono.html>

Quantum Computing and Shor's Algorithm

Matthew Hayward

<http://www.imsa.edu/~matth/cs299/>

Primes in Arithmetic Progression

By Albert N. Debono

<http://www.bms.com.mt/archive/iss26/num12.htm>

Consecutive Primes in Arithmetic Progression

<http://www.utm.edu/research/primes/lists/top20/ArithmeticProgression.html>

Andrew Granville: Articles, reprints and preprints

<http://www.math.uga.edu/~andrew/agpapers.html>

Approximation of Artin Type Constants and Automata,

Pieter Moree

<http://web.inter.NL.net/hcc/J.Moree/wrench.dvi>

Least primitive root of prime numbers

Least primitive root of prime numbers Least prime primitive root of prime numbers Least base necessary to prove the primality of a number

TomÃ¡s Oliveira e Silva

<http://www.ieeta.pt/~tos/p-roots.html>

introductory prime number theory resources

<http://www.maths.ex.ac.uk/~mwatkins/zeta/tutorial.htm>

Matthew M. Conroy

It would follow from a conjecture of Schinzel that all positive integers are representable as (p+1)/(q+1) with q and p prime. This conjecture is verified to 10⁹, and various results of the calculation are given.

<http://www.math.uwaterloo.ca/JIS/VOL4/CONROY/conroy.html>

The Gaussian Zoo

John Renze Stan Wagon Brian Wick

Experimental Mathematics Volume 10 (2001)

<http://www.expmath.org/expmath/volumes/10/10.html>

Dense admissible sets

Dan Gordon, Gene Rodemich Proceedings of ANTS III, LNCS 1423 (1998), pp. 216-225.

<http://www.ccrwest.org/gordon/ants.ps>

The emergence of prime numbers as the result of evolutionary strategy

Paulo R. A. Campos and Viviane M. de Oliveira and R. Giro and Douglas S. Galvao

...The Magicicadas display an uncommon behavior: their emergence is synchronized and these periods are usually prime numbers. In the current work, we develop a spatially extended model at which preys and predators coexist and can change their evolutionary dynamics through the occurrence of mutations. We verified that prime numbers as life cycles emerge as a result of the evolution of the population. Our results seem to be a first step in order to prove that the development of such strategy is selectively advantageous...

<http://www.citebase.org/abstract?id=oai:arXiv.org:q-bio/0406017>

JOURNAUX - LETTERS

A prime surprise ScienceNewsOnline Math Trek

Nine Primes in a Row___Nine Primes in a Row

<http://www.sciencenews.org/sn_arc98/3_21_98/mathland.htm>

Prime Spirals

Ivars Peterson

<http://www.sciencenews.org/20020504/mathtrek.asp>

TUTORIELS - TUTORIALS - TUTORS

Cyril Banderier

<http://www-lipn.univ-paris13.fr/~banderier/Recipro/index.html>

oÃ¹ l'on verra ÃratosthÃ¨ne, Fermat, Legendre, Gauss, KraÃ¯tchik, Lehmer, Pollard, Lenstra et Pomerance se disputant Ã l'envi l'honneur du meilleur algorithme de factorisation

par Cyril Banderier, maÃ®trise d'ingÃ©nierie mathÃ©matique, UniversitÃ© de Rouen. AnnÃ©e 1996/1997 Directeur du projet : G. Duchamp

<http://www-lipn.univ-paris13.fr/~banderier/Facto/facto.html>

CHRONOLOGIES

A Chronology of Digital Computing Machines (to 1952)

Mark Brader

<http://www.davros.org/misc/chronology.html>

ARTS

The Sound of Primes

Doctor Matt (audio) Matthew M. Conroy

<http://www.madandmoonly.com/doctormatt/sound/primes.mp3>

ABONNEMENTS - MAILING LISTS

Mail Thread Index

<http://www.utm.edu/~primes/Primes-L/threads.html>

LIENS - LINKS

<http://perso.wanadoo.fr/jean-paul.davalan/liens/liens_math.html>

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Copyright © 1999-2012 Jean-Paul Davalan - Reproduction interdite.