Page maison de Simon Plouffe
Home page of Simon Plouffe


Cours de mathématiques
professeur privé (sur place ou à la maison)
contact : simon plouffe @ sympatico ca
(enlever les espaces)
5 1 4 - 8 9 9 - 9 3 9 1
pour étudiants au secondaire niveau I à V
 

Qui a peur des mathématiques : un reportage de Sophie-André Blondin,
les années-lumière à Radio-Canada, le 26 sept. 2004

Real Numbers and Computers 6, in Dagstuhl, Germany, nov 15-17 2004.
A search for a mathematical expression for mass ratios using a large database
pdf  summary table

Exact formulas for some Integer Sequences pdf

Mon CV en français (informatique)
en format PDF
My CV in english


Plouffe Inverter inverseur de Plouffe
 
Graphs of integer relations
Reflection of light rays in a cup of coffee  in blue
Tables of mathematical constants and numbers
1031 generating functions and conjectures
The Art of Inspired Guessing(August 7, 1998) .
A new formula for Zeta(5) inspired from Ramanujan Notebooks
A ruler and compass constructionto compute arctan(x)/Pi in binary and bit by bit from the Journal of Integer Sequences. 1998.
The Encyclopedia of Integer Sequences, with Neil J.A. Sloane, 1995.
Articles old and recents

a classic document : Tables of Mathematical Functions by Milton Abramowitz and Irene A. Stegun in PDF and OCRized

A Passion for Pi by Ivars Peterson
15'th on the Pi world ranking list
1000-club of Olle the greatest
Récitation de Pi en français basé sur une pile HyperCard
The ISC and my old home page.
Pick a digit, any digit by Ivars Peterson
Obsession de Pi par Jean-Paul Delahaye
From numbers to formula by Ivars Peterson
A question of numbers by Brian Hayes
Next in line by Ivars Peterson
Certitudes sans démonstration par Jean-Paul Delahaye
Plouffe's Constant by Steve Finch
Plouffe's Constant by Eric Weisstein
The BBP algorithm at mathword (Wolfram)
Squaring the circle is no piece of Pi by Bruce Watson of Smithsonian Institute : also here
Le Prix de Reconnaissance UQAM 2004
(photo of the award)
group photo
Personnalité de la semaine La Presse
Enrevue avec Franco Nuovo (Radio-Canada), 20040426.mp3 (5 min 25s)
entrevue de Robert Lamarche (Radio-Canada), Les années-lumières, le dimanche 6 juin 2004
Tableau d'honneur du Science Express



pibase2integerpart.

Algorithm for the n'th binary digit of Pi
 Algorithm for the n'th decimal digit of Pi

Formula for the Bernoulli numbers (Jan. 14 2003)  where p is prime, { } is the fractional part and [ ] is the floor function, n is even. This formula is a consequence of the Von-Staudt-Clausen theorem
The computation of B(250000), the 250000'th Bernoulli number , B(400000) , B(500000), B(600000), B(750000)
image

found in 1993 using the LLL algorithm,
T(n) is the n'th Tribonacci number is the nearest integer to this formula :
Here is the sequence generated by the formula : 


1,1,2,4,7,13,24,44,81,149,274,504,


... 
tribonacci




      Zeta(5) identity (1998) see also :Identities for Zeta(2*n+1) found using LLL algorithm inspired by Ramanujan Notebooks. 1998
image