Tables de constantes

20 novembre 1999

 

 

Mots-clés : Constantes, Pi, décimales, constante d'Euler

 

La liste suivante est la table de base utilisée dans l'Inverseur de Plouffe.

Pour avoir plus d'informations , cliquer sur le lien en rouge. Pour des informations très complètes sur chacune d'entre elles voir la liste au bas de cette page qui renvoie au très bon site de Steve Finch. Pour un graphe de la distribution du nombre d'entrées, cliquer ici.

 

Pour pomper massivement voir le répertoire des Gros Fichiers, on y trouve 1 milliard de décimales de Pi, 50 million de décimales de E, 7.2 million de décimales de gamma, etc. Voici un index des tables de réels et celui des entiers.

10,11,12,13,14,15,16,17,18,19

20,21,22,23,24,25,26,27,28,29

30,31,32,33,34,35,36,37,38,39

40,41,42,43,44,45,46,47,48,49

50,51,52,53,54,55,56,57,58,59

60,61,62,63,64,65,66,67,68,69

70,71,72,73,74,75,76,77,78,79

80,81,82,83,84,85,86,87,88,89

90,91,92,93,94,95,96,97,98,99

 

1.002008392826082 Zeta(9)
1.008349277381922 Zeta(7)
1.030345524216210 exp(Pi)/Pi^E
1.030640834100712 Continued Fractions constant (base 10).
1.034653881897438 one of Hadamard-La-Vallee-Poussin constant
1.036927755143369 Zeta(5)
.1076539192264845 one-ninth constant
1.082323233711138 Zeta(4)
0.01084101512231113 The Trott Constant
1.098612288668109 log(3)
1.098641964394156 The Paris constant
1.098685805525187 Lengyel constant
1.128787029908125 Gamma(5/6)
1.144729885849400 log(Pi)
0.114942044853296 Product(cos(Pi/n),n=3..infinity
1.175201193643801 Sinh(1)
1.176280818259917 smallest known Salem number
1.189207115002721 sqrt(sqrt(2))
1.199678640257733 solution of exp(x)(x-1) = exp(-x)(x+1)
1.202056903159594 Zeta(3)
1.225416702465177 GAMMA(3/4)
1.226742010720353 Fibonacci factorial constant
.1234567891011121 Champernowne number
1.259921049894873 2^1/3
1.261859507142914 log(4)/log(3)
1.282427129100622 Glaisher-Kinkelin constant
1.291285997062663 sum(1/n^n,n=1..inf)
1.296210659593309 A Salem number of degree 38
1.303577269034296 Conway constant
1.306377883863080 Mills Constant
1.324717957244746 Smallest Pisot-Vijayaraghavan number
1.354117939426400 GAMMA(2/3)
1.395485972479302 Hard hexagons constant
14.13472514173469 Premier zÈro de la fonction ZÍta de Riemann
1.414213562373095 sqrt(2)
1.442249570307408 3^1/3
1.442695040888963 1/log(2)
1.444667861009766 e^1/e
1.456074948582689 Backhouse constant
1.461632144968362 Minimal x of GAMMA(x)
1.467078079433975 Porter's constant
.1475836176504332 arctan(1/2)/Pi
.1490279983517850 Gamma(0) of Conway
15.15426224147926 Exp(E)
1.543080634815243 Cosh(1)
1.584962500721156 log(3)/log(2)
1.609437912434100 log(5)
1.618033988749894 Golden ratio= (1+sqrt(5))/2 = phi
1.628160129718917 a Flajolet constant
1.636616323351260 Sum(1/(p*log(p)),p = prime)
1.644934066848226 Zeta(2)
1.705211140105367 Niven Constant
1.732050807568877 sqrt(3)
1.745405662407346 Khintchine Harmonic Constant
1.747564594633182 Madelung constant
1.763222834351896 1/W(1)
1.781072417990197 exp(gamma)
1.782213978191369 Grothendieck majorant
1.787231650182965 Komornik-Loreti constant
1.833772651680271 Solution of Zeta(x)=x
1.837877066409345 log(2*Pi)
1.839286755214161 Tribonacci Constant
1.851937051982466 Gibbs constant : Si(Pi)
0.1878596424620671 MRB Constant
0.1923155168211845 gamma**3
0.1945280494653251 Dubois-Raymond 2nd constant
19.99909997918947 exp(Pi)-Pi
2.078086921235027 1/log(phi)
.2078795763507619 exp(-Pi/2)
.2078862249773545 -Zeta(-1/2)
2.193280050738015 exp(Pi/4)
2.236067977499789 sqrt(5)
.2245172519832320 gamma**E
22.45915771836104 Pi**e
2.302566137163630 a Flajolet constant
2.302585092994045 log(10)
23.14069263277926 exp(Pi)
.2357111317192329 Copeland-Erdos constant (prime numbers) 
2.428189792098870 product(1+1/n**3,n=1..infinity)
2.449489742783178 sqrt(6)
2.502907875095892 Feigenbaum alpha constant 
2.584981759579253 Sierpinski Constant
0.258819403792806 -Ai'(0) or 3**(-1/3)/Gamma(1/3)
0.261497212847642 Hadamard-de-la-Vallee-Poussin constant
2.622057554292119 Lemniscate constant or Gauss constant 
2.645751311064590 sqrt(7)
2625374126407687 Ramanujan number : exp(Pi*sqrt(163)) 
2.665144142690225 Gelfond-Schneider number : 2**sqrt(2)
2.678938534707747 GAMMA(1/3)
2.685452001065306 Khintchine constant 
2.718281828459045 exp(1) 
2.720699046351326 Pi/2*sqrt(3)
.2801694990238691 Bernstein constant 
2.807770242028519 Fransen-Robinson constant
 2.82842712474619 sqrt(8)
 2.95576528565199 Tree-growth constant
.3010299956639811 LOG10(2)
.3036630028987326 Gauss-Kuzmin-Wirsing 
.3039635509270133 3/(Pi**2)
3.141592653589793 Pi
3.162277660168379 sqrt(10)
.3183098861837906 1/Pi
3.275822918721811 Levy constant
.3331779238077186 gamma**2
3.407069165627256 Magata Constant
0.353236371854995 Hafner-Sarnak-McCurley Constant
0.355028053887817 Ai(0) or 3**(-2/3)/Gamma(2/3)
3.625609908221908 GAMMA(1/4)
.3665129205816643 -log(log(2))
.3678794411714423 1/e
.3725074107813666 Real root of Ei(x)
.3739558136192022 Artin constant
.3920728981459733 1-6/(Pi*Pi) 
3.922646139209151 -zeta(1,1/2)
.3989422804014326 1/sqrt(2*pi)
.4124540336401075 The Thue-Morse constant
.4146825098511116 Prime numbers coded in binary
.4342944819032518 1/log(10)
.4399240125710253 Second Tree-Growth constant
.4636476090008061 arctan(1/2)
4.669201609102990 Feigenbaum constant 
.4749493799879206 Weierstrass constant 
.4804530139182014 log(2)*log(2)
.4812118250596034 log(phi)
.5403023058681397 cos(1)
.5495393129816448 -log(gamma)
5.566316001780235 Gamma(1/6)
.5614594835668851 exp(-gamma)
.5671432904097838 W(1)
.5772156649015328 gamma or Euler constant 
.5819486593172907 2nd order Landau-Ramanujan Constant
.5926327182016361 Lehmer constant 
.5963473623231940 -exp(1)*Ei(-1)
.6045997880780726 sum(1/n/binomial(2*n,n),n=1..infinity)
.6243299885435508 Golomb constant
.6434105462883380 Cahen constant
6.580885991017920 The Froda constant : 2**E
0.06598803584531253 exp(-e)
.6601618158468695 Twin primes constant 
.6617071822671762 Robbin's constant 
.6627434193491815 Laplace Limit constant
.6922006275553463 (1/E)^(1/E)
.6931471805599453 log(2)
.6977746579640079 BesselI(1,2)/BesselI(0,2) 
.7052301717918009 Sum of product of inverse of primes
.7098034428612913 Rabbit Constant
.7147827007912942 Traveling Salesman Constant 
.7363998587187150 sum(1/binomial(2*n,n),n=1..infinity)
7.389056098930650 exp(2)
.7475979202534114 parking constant or Renyi constant
.7642236535892206 Landau-Ramanujan constant 
.7945071927794792 Kolakoski Constant
.8116869215447793 a Flajolet constant
.8164215090218931 sum(1/2**(2**n),n=0..inf)
.8414709848078965 sin(1)
.8472130847939790 A.G.M. of (1,sqrt(2)/2)
.8660254037844386 sqrt(3)/2
.8711570464148937 a Flajolet constant
.8856031944108887 minimal point of GAMMA(x) 
.9068996821171089 Pi/(2*sqrt(3))
.9159655941772190 Catalan constant
9.289025491920818 1/(One-ninth constant) 
.9375482543158437 -Zeta'(2) 
9.869604401089358 Pi*Pi