Page maison de Simon Plouffe

A formula for the n'th digit of π\pi
Pi with Euler numbers
and Pi in binary
Pi in binary with bernoulli numbers




The shape of b^n mod p
Shape of b^n mod p

Time line

1983 :arctan_of_1_2_over_pi
 1991 : First version of GFUN

1992 : expPi-Pi

1992 : The n'th Tribonacci number is : tribonacci

  1992 :Master Thesis : Approximation de fonctions génératrices et quelques conjectures

1993 : A sequence related to that of Thue-Morse
 1993 : Exact formulas for integer sequences

1995 : BBP
 1995 : Publication de : The encyclopedia of Integer Sequences
1995 : Ouverture du Inverse Symbolic Calculator

1996 : Algorithm for Pi in base 10

1996 : Computation of the 10000'th Bernoulli number (with Greg Fee)
1998 : Ouverture de l'Inverseur de Plouffe - Plouffe Inverter

1998 : Integer relations :

integer relations

2001 : Fibonacci numbers and plants (and other radio and tv)

 2001 : Computation of the  750000'th Bernoulli number

2006 : New formulas for Pi and 1/Pi : pi 2006

2006 : Experiments modulo 1:

 

n2^n mod 337

2010 :Interesting approximations approximation of 119 and 10

2011 : A formula for the mass ratio of the neutron/proton :

neutron/proton mass ratio

2011 : 148000 empirical formulas found in the OEIS database

2014 : Strange formula for some algebraic numbers: algebraic formula

algebraic number


 2014 : A formula for the Zeta function : formula for the zeta function

wave in the zeta zeros
2015 : A formula for the proton/electron mass ratio:
mass ratio of proton and electron

2016 : Formula for primes using irrational numbers


2016 : Portable version of the Plouffe Inverter : Version portable de l'Inverseur de Plouffe. 11.3 billion entries at 41 digits precision.
2022 : A formula for the n'th digit of Pi (decimal or binary)
2023 : Pi and the primes
2023 : OEIS conjectured formulas