YOU HAVE REACHED THE INFORMATION PAGE Lynx Version 2-4 File that you are currently viewing Linkname: Basic Tables of Constants URL: http://www.cecm.sfu.ca/projects/ISC/I_d.html Owner(s): None size: 225 lines mode: normal [INVERSE SYMBOLIC CALCULATOR] BASE TABLE OF CONSTANTS By Simon Plouffe CECM, Centre for Experimental & Constructive Mathematics Simon Fraser University Last update : Feb 6, 1996. Keywords : constants, Pi, gamma, sqrt(2), real numbers, digits, tables. The following table is our base table. For more digits you may click on the fir st link, for further explanation on many of them see bottom of page at The Favorite Math Constants of Steven Finch of MathSoft, it contains lots of information and references. 1.002008392826082 Zeta(9) 1.008349277381922 Zeta(7) 1.030345524216210 exp(Pi)/Pi^E 1.036927755143369 Zeta(5) .1076539192264845 one-ninth constant 1.082323233711138 Zeta(4) 1.098612288668109 log(3) 1.098685805525187 Lengyel constant 1.144729885849400 log(Pi) 1.176280818259917 Salem number 1.189207115002721 sqrt(sqrt(2)) 1.202056903159594 Zeta(3) 1.225416702465177 GAMMA(3/4) .1234567891011121 Champernowne number 1.259921049894873 2^1/3 1.261859507142914 log(4)/log(3) 1.291285997062663 sum(1/n^n,n=1..inf) 1.324717957244746 Smallest Pisot-V. number 1.311028777146059 lemniscate constant 1.354117939426400 GAMMA(2/3) 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) .1475836176504332 arctan(1/2)/Pi 15.15426224147926 Exp(E) 1.529954037057192 w2 constant 1.533772302310243 Kakeya constant 1.618033988749894 Golden number= (1+sqrt(5))/2 = phi 1.644934066848226 Zeta(2) 1.732050807568877 sqr(3) 1.747564594633182 Madelung constant 1.763222834351896 1/W(1) 1.781072417990197 exp(gamma) 1.782213978191369 Grothendieck majorant 1.837877066409345 log(2*Pi) 1.851937051982466 Gibbs constant : Si(Pi) .1923155168211845 gamma**3 .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 2.302585092994045 log(10) 23.14069263277926 exp(Pi) .2357111317192329 Copeland-Erdos constant (prime numbers) 2.428189792098870 product(1+1/n**3,n=1..infinity) 2.502907875095892 Feigenbaum alpha constant 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) 2.807770242028519 Fransen-Robinson constant .2801694990238691 Bernstein constant .3010299956639811 LOG10(2) .3036630028987326 Gauss-Kuzmin-Wirsing .3039635509270133 3/(Pi**2) 3.141592653589793 Pi 3.162277660168379 sqrt(10) 3.275822918721811 Levy constant .3331779238077186 gamma**2 3.625609908221908 GAMMA(1/4) .3665129205816643 -log(log(2)) .3678794411714423 1/e .3739558136192022 Artin constant .3920728981459733 1-6/(Pi*Pi) 3.922646139209151 -zeta(1,1/2) .3989422804014326 1/sqrt(2*pi) .4342944819032518 1/log(10) .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) .5671432904097838 W(1) .5772156649015328 gamma or Euler constant .5926327182016361 Lehmer constant .5963473623231940 -exp(1)*Ei(-1) .6045997880780726 sum(1/n/binomial(2*n,n),n=1..infinity) .6243299885435508 Golomb constant 0.06598803584531253 exp(-e) .6601618158468695 Twin primes constant .6617071822671762 Robbins constant .6922006275553463 (1/E)^(1/E) .6931471805599453 log(2) .6977746579640079 BesselI(1,2)/BesselI(0,2) .7363998587187150 sum(1/binomial(2*n,n),n=1..infinity) 7.389056098930650 exp(2) .7475979202534114 parking constant or Renyi constant .7642236535892200 Landau-Ramanujan constant .8164215090218931 sum(1/2**(2**n),n=0..inf) .8414709848078965 sin(1) .8660254037844386 sqrt(3)/2 .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 Here are links to full explanations of each of these constants to the Favorite Math. Constants. Basic constants. Golden mean Natural logarithmic base Archimedes' constant Euler-Mascheroni constant Apéry's constant Catalan's constant Bloch-Landau constants Khintchine's constant Feigenbaum constants Masser-Gramain constant Madelung's constant Constants associated with Number Theory * Hardy-Littlewood constants * Hadamard-de la Vallée Poussin constants * Landau-Ramanujan constant * Brun's constant * Artin's constant * Linnik's constant * Hafner-Sarnak-McCurley constant * Gauss-Kuzmin-Wirsing constant * Stolarsky-Harborth constant * Porter's constant * Glaisher-Kinkelin constant * Alladi-Grinstead constant * Niven's constant * Backhouse's constant * Mill's constant * Stieljes constants * Liouville-Roth constants * Erdös' reciprocal sum constants * Cameron's sum-free set constants * Euler totient function asymptotic constants * Nielsen-Ramanujan constants * de Bruijn-Newman constant Constants associated with Analytic Inequalities * Shapiro's cyclic sum constant * Carlson-Levin constants * Landau-Kolmogorov constants * Hilbert's constants * Copson-de Bruijn constants * Wirtinger-Sobolev isoperimetric constants * Whitney-Mikhlin extension constants Constants associated with the Approximation of Functions * Wilbraham-Gibbs constant * Lebesgue constants * Favard constants * Bernstein's constant * The "one-ninth" constant Constants associated with Enumerating Discrete Structures * Abelian group enumeration constants * Rényi's parking constants * Golomb-Dickman constant * Lengyel's constant * Otter's tree enumeration constants * Pólya's random walk constants * Self-avoiding-walk connective constants * Feller's coin tossing constants Constants associated with Functional Iteration * Gauss' constant * Grossman's constant * Lehmer's constant * Iterated exponential constants * Continued fraction constants * Quadratic recurrence constants Constants associated with Geometry * Geometric probability constants * Hermite's constants * Traveling salesman constants * Moving sofa constant _________________________________________________________________ isc@cecm.sfu.ca The Berstein Constant. 0.28016949902386913303643649123067200004248213981236