Anexo:Constantes matemáticas

Lista de constantes y series matemáticas

--Estructura de las tablas--

• Valor numérico de la constante.

• LaTeX: Fórmula o serie en el formato TeX.

• Fórmula: Para utilizar en programas como Mathematica o Wolfram Alpha.

• OEIS: On-Line Encyclopedia of Integer Sequences

• Referencia: Enlace donde se puede consultar la constante con más detalles.

• Fracción continua: En el formato simple [Parte entera; frac1, frac2, frac3, ...] (entre paréntesis si es periódica)

• Nº: Número
  • R - Racional
  • I - Irracional
  • T - Trascendental
  • C - Complejo

Puede elegir el orden de la lista, pulsando en el nombre, valor, OEIS, etc.

Valor	Nombre	Símbolo	LaTeX	Fórmula	Referencia	Nº	OEIS	Fracción continua
0,53964549119041318711050084748470198	Constante de Ioachimescu	$2+\zeta(\tfrac12)$	${2{-}(1{+}\sqrt{2})\sum_{n=1}^\infty \frac{(-1)^{n+1}}{\sqrt{n}}} = \gamma + \sum_{n=1}^\infty \frac{(-1)^{2n} \; \gamma_n}{2^n n!}$	γ +N[sum[n=1 to ∞] {((-1)^(2n) gamma_n) /(2^n n!)}]	Andrei Vernescu. €Constante de tip Euler generalizate		2- A059750	[0;1,1,5,1,4,6,1,1,2,6,1,1,2,1,1,1,37,3,2,1,...]
2,58498175957925321706589358738317116	Constante de Sierpiński	${K}$	$\pi \left(2 \ln 2+3 \ln \pi + 2 \gamma - 4 \ln \Gamma \left(\frac{1}{4}\right)\right)$	-Pi Log[Pi]+2 Pi EulerGamma+4 Pi Log[Gamma[3/4]]	Julian Havil. Gamma. Exploring Euler constant		A062089	[2;1,1,2,2,3,1,3,1,9,2,8,4,1,13,3,1,15,18,1,...]
1,83928675521416113255185256465328660	Constante Tribonacci	${\phi_{}}_3$	$\textstyle \frac{1+\sqrt[3]{19+3\sqrt{33}}+\sqrt[3]{19-3\sqrt{33}}}{3} = \scriptstyle \, 1+ \left(\sqrt[3]{\tfrac12 + \sqrt[3]{\tfrac12 + \sqrt[3]{\tfrac12 + ...}}}\right)^{-1}$	(1/3)*(1+(19+3 *sqrt(33))^(1/3) +(19-3 *sqrt(33))^(1/3))	T. Piezas. Tribonacci constant & Pi	I	A058265	[1;1,5,4,2,305,1,8,2,1,4,6,14,3,1,13,5,1,7,...]
0,69220062755534635386542199718278976	Valor mínimo de la función ƒ(x) = xx	${\left(\frac{1}{e}\right)}^\frac{1}{e}$	${e}^{-\frac{1}{e}}$ = Inverso de: Número de Steiner	e^(-1/e)	Clifford Pickover. A Passion for Mathematics	T	A072364	[0;1,2,4,55,27,1,1,16,9,3,2,8,3,2,1,1,4,1,9,...]
0.70710678118654752440084436210484903 + 0.70710678118654752440084436210484 i	Raíz cuadrada de i	$\sqrt{i}$	$\sqrt[4]{-1} = \frac{1+i}{\sqrt{2}} = e^ \frac{i\pi}{4}$	(1+i)/(sqrt 2)	Eric Weisstein. The square root of i.	C	A010503 A010503	[0;1,2,2,2,2,2,2,2,2,2,2,2,2,..] = [0;1,(2),...] [0;1,2,2,2,2,2,2,2,2,2,2,2,2,..] i = [0;1,(2),...] i
1,15636268433226971685337032288736935	Constante de recurrencia cúbica	${\sigma_3}$	$\prod_{n=1}^\infty n^{{3}^{-n}} = \sqrt[3] {1 \sqrt[3] {2 \sqrt[3]{3 \cdots}}} = 1^{1/3} \; 2^{1/9} \; 3^{1/27} \cdots$	prod[n=1 to ∞] {n ^(1/3)^n}	J. Sondow. Generalization of Somos Quadratic ...	T	A123852	[1;6,2,1,1,8,13,1,3,2,2,6,2,1,2,1,1,1,10,33,...]
1,66168794963359412129581892274995074	Recurrencia cuadrática de Somos	${\sigma}$	$\prod_{n=1}^\infty n^{{1/2}^n} = \sqrt {1 \sqrt {2 \sqrt{3 \cdots}}} = 1^{1/2} \; 2^{1/4} \; 3^{1/8} \cdots$	prod[n=1 to ∞] {n ^(1/2)^n}	J. Guillera. Double integ. and infinite products ...	T	A065481	[1;1,1,1,21,1,1,1,6,4,2,1,1,2,1,3,1,13,13,...]
0,95531661812450927816385710251575775	Ángulo mágico	${\theta_m}$	$\arctan \left(\sqrt{2}\right) = \arccos \left(\sqrt{\tfrac13}\right) \approx \textstyle {54,7356} ^{ \circ }$	arctan(sqrt(2))	Andras Bezdek. Discrete Geometry	I	A195696	[0;1,21,2,1,1,1,2,1,2,2,4,1,2,9,1,2,1,1,1,3,...]
0,59634736232319407434107849936927937	Constante de Euler-Gompertz	${G}$	$\int \limits_{0}^{\infty} \frac{e^{-n}}{1{+}n} dn {=} \int \limits_{0}^{1} \frac{1}{1{-}\ln n} dn = \textstyle {\frac 1 {1+\frac 1{1+\frac 1{1+\frac 2{1+\frac 2{1+\frac 3{1+\frac 3{1+4{/...}} }}}}}}}$	N[int[0 to ∞] {(e^-n)/(1+n)}]	Handbook of continued fractions for special functions"	T	A073003	[0;1,1,2,10,1,1,4,2,2,13,2,4,1,32,4,8,1,1,1,...]
0,69777465796400798200679059255175260	Constante de fracción continua, función de Bessel	${C}_{CF}$	$\frac{I_1(2)}{I_0(2)} = \frac{ \sum \limits_{n = 0}^{\infty} \frac{n}{n!n!}} {{ \sum \limits_{n = 0}^{\infty} \frac{1}{n!n!}}} = \textstyle \frac 1{1+\frac 1{2+\frac 1{3+\frac 1{4+\frac 1{5+\frac 1{6+1{/...}}}}}}}$	(Sum {n=0 to inf} n/(n!n!)) / (Sum {n=0 to inf} 1/(n!n!))	Simon Plouffe. Miscellaneous Mathematical Constants		A052119	[0;1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,...] = [0;(p+1)], p∈ℕ
0,56714329040978387299996866221035555	Constante Omega, función W(1) de Lambert	${\Omega}$	$\sum_{n=1}^\infty \frac{(-n)^{n-1}}{n!} =\,\left(\frac{1}{e}\right) ^{\left(\frac{1}{e}\right) ^{\cdot^{\cdot^{\left(\frac{1}{e}\right)}}}} = e^{-\Omega} = {e}^{-e^{-e^{\cdot^{\cdot^{{-e}}}}}}$	Sum[n=1 to ∞] {(-n)^(n-1)/n!}	Albert Gural. Infinite Power Towers	T	A030178	[0;1,1,3,4,2,10,4,1,1,1,1,2,7,306,1,5,1,2,1,...]
0,36651292058166432701243915823266947	Mediana distribución de Gumbel	${ll_2}$	$-\ln(\ln(2))$	-ln(ln(2))	Steven Finch. Addenda to Mathematical Constants	T	A074785	[0;2,1,2,1,2,6,1,6,6,2,2,2,1,12,1,8,1,1,3,1,...]
1,70521114010536776428855145343450816	Constante de Niven	${C}$	$1+\sum_{n = 2}^\infty \left(1-\frac{1}{\zeta(n)} \right)$	1+ Sum[n=2 to ∞] {1-(1/Zeta(n))}	Ivan Niven. Averages of exponents in factor.int.	T	A033150	[1;1,2,2,1,1,4,1,1,3,4,4,8,4,1,1,2,1,1,11,1,...]
0,6903471261...	Límite superior exponencial iterado	${H}_{2n+1}$	$\lim_{n \to \infty} {H}_{2n+1} = \textstyle \left(\frac{1}{2}\right) ^{\left(\frac{1}{3}\right) ^{\left(\frac{1}{4}\right) ^{\cdot^{\cdot^{\left(\frac{1}{2n+1}\right)}}}}} = {2}^{-3^{-4^{\cdot^{\cdot^{{-2n-1}}}}}}$	2^-3^-4^-5^-6^ -7^-8^-9^-10^ -11^-12^-13 …	Kempermann. Zahlen- theoretische Kostproben	T		[0;1,2,4,2,1,3,1,2,2,1,4,1,2,4,61,5,...]
0,6583655992...	Límite inferior exponencial iterado	${H}_{2n}$	$\lim_{n \to \infty} {H}_{2n} = \textstyle \left(\frac{1}{2}\right) ^{\left(\frac{1}{3}\right) ^{\left(\frac{1}{4}\right) ^{\cdot^{\cdot^{\left(\frac{1}{2n}\right)}}}}} = {2}^{-3^{-4^{\cdot^{\cdot^{{-2n}}}}}}$	2^-3^-4^-5^-6^ -7^-8^-9^-10^ -11^-12 …	Steven Finch. Mathematical Constants	T		[0;1,1,1,12,1,2,1,1,4,3,1,1,2,1,2,1,51,2,2,1,...]
3,24697960371746706105000976800847962	Constante Silver de Tutte–Beraha	$\varsigma$	$2+2 \cos \frac {2\pi} 7 = \textstyle 2+\frac{2+\sqrt[3]{7 + 7 \sqrt[3]{7 + 7 \sqrt[3]{\, 7 + \cdots}}}}{1+\sqrt[3]{7 + 7 \sqrt[3]{7 + 7 \sqrt[3]{\, 7 + \cdots}}}}$	2+2 cos(2Pi/7)	Eric Weisstein. Silver Constant	T	A116425	[3;4,20,2,3,1,6,10,5,2,2,1,2,2,1,18,1,1,3,2,...]
1,09864196439415648573466891734359621	Constante París	$C_{Pa}$	$\prod_{n=2}^\infty \frac{2 \varphi}{\varphi+ \varphi_n} \; ,\; \varphi {=} {Fi}$  con  $\varphi_n {=} \sqrt{1 {+} \varphi_{n {-} 1}}$   y   $\varphi_1 {=} 1$		Eric Weisstein. Paris Constant	I	A105415	[1;10,7,3,1,3,1,5,1,4,2,7,1,2,3,22,1,2,5,2,1,...]
2,74723827493230433305746518613420282	Raíces anidadas de Ramanujan R5	$R_{5}$	$\scriptstyle \sqrt{5+\sqrt{5+\sqrt{5-\sqrt{5+\sqrt{5+\sqrt{5+\sqrt{5-\cdots}}}}}}}\;=\textstyle\frac{2+\sqrt{5}+\sqrt{15-6\sqrt{5}}}{2}$	(2+sqrt(5)+sqrt(15 -6 sqrt(5)))/2	Ramanujan. Essays and Surveys	I		[2;1,2,1,21,1,7,2,1,1,2,1,2,1,17,4,4,1,1,4,2,...]
2,23606797749978969640917366873127624	Raíz de 5, Suma de Gauss	$\sqrt{5}$	$\scriptstyle (n = 5) \displaystyle \sum_{k=0}^{n-1} e^{\frac{2 k^2 \pi i}{n}} = 1 + e^\frac{2 \pi i} {5} + e^\frac{8 \pi i} {5} + e^\frac{18 \pi i} {5} + e^\frac{32 \pi i} {5}$	Sum[k=0 to 4] {e^(2k^2 pi i/5)}	PAJ Lewis. Essential Mathematics	I	A002163	[2;4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,...] = [2;(4),...]
3,62560990822190831193068515586767200	Gamma(1/4)	$\Gamma(\tfrac14)$	$4 \left(\frac{1}{4}\right)! = \left(-\frac{3}{4}\right)!$	4(1/4)!	Refaat El Attar. Special Functions…	T	A068466	[3;1,1,1,2,25,4,9,1,1,8,4,1,6,1,1,19,1,1,4,1,...]
0,18785964246206712024851793405427323	Constante MRB de Marvin Ray Burns	$C_{{}_{MRB}}$	$\sum_{n=1}^{\infty} ({-}1)^n (n^{1/n}{-}1) = - \sqrt[1]{1} + \sqrt[2]{2} - \sqrt[3]{3} + \sqrt[4]{4}\,...$	Sum[n=1 to ∞] {(-1)^n (n^(1/n)-1)}	M.R.Burns. Root constant	T	A037077	[0;5,3,10,1,1,4,1,1,1,1,9,1,1,12,2,17,2,2,1,...]
0,11494204485329620070104015746959874	Constante de Kepler–Bouwkamp	${\rho}$	$\prod_{n=3}^\infty \cos\left(\frac{\pi}{n} \right) = \cos\left(\frac{\pi}{3} \right) \cos\left(\frac{\pi}{4} \right) \cos\left(\frac{\pi}{5}\right) ...$	prod[n=3 to ∞] {cos(pi/n)}	R.J.Mathar. Circumscribed Regular Polygons	T	A085365	[0;8,1,2,2,1,272,2,1,41,6,1,3,1,1,26,4,1,1,...]
1,78107241799019798523650410310717954	Exp.gamma por función G-Barnes	$e^{\gamma}$	$\prod_{n=1}^\infty \frac{e^{\frac{1}{n}}}{1+\tfrac1n} = \prod_{n=0}^\infty \left(\prod_{k=0}^n (k+1)^{(-1)^{k+1}{n \choose k}}\right)^{\frac{1}{n+1}} =$ $\textstyle \left ( \frac{2}{1} \right )^{1/2} \left (\frac{2^2}{1 \cdot 3} \right )^{1/3} \left (\frac{2^3 \cdot 4}{1 \cdot 3^3} \right )^{1/4} \left (\frac{2^4 \cdot 4^4}{1 \cdot 3^6 \cdot 5} \right )^{1/5}...$	Prod[n=1 to ∞] {e^(1/n)}/{1 + 1/n}	H.M.Srivastava. Zeta and q-Zeta Functions and Associated Series	T	A073004	[1;1,3,1,1,3,5,4,1,1,2,2,1,7,9,1,16,1,1,1,2,...]
1,28242712910062263687534256886979172	Constante de Glaisher–Kinkelin	${A}$	$e^{\frac{1}{12}-\zeta^{\prime}(-1)} = e^{\frac{1}{8}-\frac{1}{2}\sum\limits_{n=0}^{\infty} \frac{1}{n+1} \sum\limits_{k=0}^{n} \left(-1\right)^k \binom{n}{k} \left(k+1\right)^2 \ln(k+1)}$	e^(1/2-zeta´{-1})	Jan Feliksiak. Symphony of Primes	T	A074962	[1;3,1,1,5,1,1,1,3,12,4,1,271,1,1,2,7,1,35,...]
7,38905609893065022723042746057500781	Constante cónica de Schwarzschild	$e^2$	$\sum_{n = 0}^\infty \frac{2^n}{n!} = 1+2+\frac{2^2}{2!}+\frac{2^3}{3!}+\frac{2^4}{4!}+\frac{2^5}{5!}+...$	Sum[n=0 to ∞] {2^n/n!}	David Cohen. Precalculus w. Unit-Circle…	T	A072334	[7;2,1,1,3,18,5,1,1,6,30,8,1,1,9,42,11,1,...] = [7,2,(1,1,n,4*n+6,n+2)], n = 3, 6, 9, etc.
1,01494160640965362502120255427452028	Constante Gieseking	${\pi \ln \beta}$	$\frac{3\sqrt{3}}{4} \left(1- \sum_{n=0}^\infty \frac{1}{(3n+2)^2}+ \sum_{n=1}^\infty\frac{1}{(3n+1)^2} \right)=$ $\textstyle \frac{3\sqrt{3}}{4} \left( 1 - \frac{1}{2^2} + \frac{1}{4^2}-\frac{1}{5^2}+\frac{1}{7^2}-\frac{1}{8^2}+\frac{1}{10^2} \pm ... \right)$.	sqrt(3)*3/4 * (1-Sum[n=0 to ∞] {1/((3n+2)^2)} +Sum[n=1 to ∞] {1/((3n+1)^2)})	Steven Finch. Volumes of Hyperbolic 3-Manifolds	T	A143298	[1;66,1,12,1,2,1,4,2,1,3,3,1,4,1,56,2,2,11,...]
2,62205755429211981046483958989111941	Constante Lemniscata	${\varpi}$	$\pi \, {G} = 4 \sqrt{\tfrac2\pi}\,\Gamma{\left(\tfrac54 \right)^2} = \tfrac14 \sqrt{\tfrac{2}{\pi}}\,\Gamma {\left(\tfrac14 \right)^2} = 4 \sqrt{\tfrac2\pi}\left(\tfrac14 !\right)^2$	4 sqrt(2/pi) ((1/4)!)^2	J. Coates & M.J.Taylor. L-Functions & Arithmetic	T	A062539	[2;1,1,1,1,1,4,1,2,5,1,1,1,14,9,2,6,2,9,4,1,...]
0,83462684167407318628142973279904680	Constante de Gauss	${G}$	$\underset{ agm:\; Media \;aritm\acute{e}tica-geom\acute{e}trica} {\frac{1}{\mathrm{agm}(1, \sqrt{2})} = \frac{4 \sqrt{2} \,(\tfrac14 !)^2}{\pi ^{3/2}}}$	(4 sqrt(2)((1/4)!)^2) /pi^(3/2)	Keith Oldham. An Atlas of Functions	T	A014549	[0;1,5,21,3,4,14,1,1,1,1,1,3,1,15,1,3,7,1,...]
0,0078749969978123844	Constante de Chaitin	${\Omega}$	$\sum_{p \in P} 2^{-|p|} \overset {p: \; {Programa \; que \;se \; para}} \underset{ { P:\; Conjunto \; de \; todos \; los \; programas \; que \; se \; paran.}} {\scriptstyle [p]:\; Tama\tilde{n}o \;del\;programa }$		Mark Chang. Paradoxology of Scientific Inference	?	A100264	[0; 126, 1, 62, 5, 5, 3, 3, 21, 1, 4, 1]
1,01734306198444913971451792979092052	Constante Zeta(6)	$\zeta(6)$	$\frac{\pi^6}{945} = \prod_{n=1}^\infty \underset{p_{n}: \, {primo}}\frac{1}{{1-p_n}^{-6}} = \frac{1}{1{-}2^{-6}}{\cdot}\frac{1}{1{-}3^{-6}}{\cdot}\frac{1}{1{-}5^{-6}} ...$	Prod[n=1 to ∞] {1/(1-ithprime(n)^-6)}	Lennart Rade. Mathematics Handbook for Sci. & Eng.	T	A013664	[1;57,1,1,1,15,1,6,3,61,1,5,3,1,6,1,3,3,6,1,...]
0,60792710185402662866327677925836583	Constante de Hafner-Sarnak-McCurley	$\frac{1}{\zeta(2)}$	$\frac{6}{\pi^2} {=} \prod_{n = 0}^\infty \underset{p_{n}: \, {primo}}{\left(1- \frac{1}{{p_n}^2}\right)}{=}\textstyle \left(1{-}\frac{1}{2^2}\right)\left(1{-}\frac{1}{3^2}\right)\left(1{-}\frac{1}{5^2}\right)...$	Prod{n=1 to ∞} (1-1/ithprime(n)^2)	Holger Hermanns Process Algebra & Probabilistic Modeling and...	T	A059956	[0;1,1,1,1,4,2,4,7,1,4,2,3,4,10,1,2,1,1,1,...]
1,11072073453959156175397024751517342	Razón entre un cuadrado y las círcunferencias ins.o circunscrita	$\frac{\pi}{2\sqrt 2}$	$\sum_{n = 1}^\infty \frac{(-1)^{\lfloor \frac{n-1}{2}\rfloor}}{2n+1} = \frac{1}{1} + \frac{1}{3} - \frac{1}{5} - \frac{1}{7} + \frac{1}{9} + \frac{1}{11} - ...$	Sum[n=1 to ∞] {(-1)^(floor((n-1)/2)) /(2n-1)}	Richard J.Mathar. Table of Dirichlet L-series and Prime Zeta...	T	A093954	[1;9,31,1,1,17,2,3,3,2,3,1,1,2,2,1,4,9,1,3,...]
2,80777024202851936522150118655777293	Constante Fransén–Robinson	${F}$	$\int_{0}^\infty \frac{1}{\Gamma(x)}\, dx. = e + \int_0^\infty \frac{e^{-x}}{\pi^2 + \ln^2 x}\, dx$	N[int[0 to ∞] {1/Gamma(x)}]	Dusko Letic... Orthogonal... hyperspherical function	T	A058655	[2;1,4,4,1,18,5,1,3,4,1,5,3,6,1,1,1,5,1,1,1...]
1,64872127070012814684865078781416357	Raíz cuadrada del número e	$\sqrt {e}$	$\sum_{n = 0}^\infty \frac{1}{2^n n!} = \sum_{n = 0}^\infty \frac{1}{(2n)!!} = \frac{1}{1}+\frac{1}{2}+\frac{1}{8}+\frac{1}{48}+\cdots$	sum[n=0 to ∞] {1/(2^n n!)}		T	A019774	[1;1,1,1,5,1,1,9,1,1,13,1,1,17,1,1,21,1,1,...] = [1;1,(1,1,4p+1)], p∈ℕ
i	Número imaginario	${i}$	$\sqrt{-1} = \frac{\ln(-1)}{\pi} \qquad\qquad \mathrm{e}^{i\,\pi} = -1$	sqrt(-1)		C
262537412640768743,999999999999250073	Constante de Hermite-Ramanujan	${R}$	$e^{\pi\sqrt{163}}$	e^(π sqrt(163))		T	A060295	[262537412640768743;1,1333462407511,1,8,1,1,5,...]
4,81047738096535165547303566670383313	Constante de John	$\gamma$	$\sqrt[i]{i} = i^{-i} = i^{\frac{1}{i}} = (i^i)^{-1} = e^{\frac{\pi}{2}}$	e^(π/2)		T	A042972	[4;1,4,3,1,1,1,1,1,1,1,1,7,1,20,1,3,6,10,3,...]
4,53236014182719380962768294571666681	Constante de Van der Pauw	${\alpha}$	$\frac{\pi}{ln(2)} = \frac{\sum_{n = 0}^\infty \frac{4(-1)^n}{2n+1}} {\sum_{n=1}^\infty \frac{(-1)^{n+1}}{n}} = \frac{\frac{4}{1} {-} \frac{4}{3} {+} \frac{4}{5} {-} \frac{4}{7} {+} \frac{4}{9} - ...} {\frac{1}{1}{-}\frac{1}{2}{+}\frac{1}{3}{-}\frac{1}{4}{+}\frac{1}{5}-...}$	π/ln(2)		T	A163973	[4;1,1,7,4,2,3,3,1,4,1,1,4,7,2,3,3,12,2,1,...]
0,76159415595576488811945828260479359	Tangente hiperbólica de 1	${th} \, 1$	$\frac{e-\frac{1}{e}}{e+\frac{1}{e}} = \frac{e^2-1}{e^2+1}$	(e-1/e)/(e+1/e)		T	A073744	[0;1,3,5,7,9,11,13,15,17,19,21,23,25,27,...] = [0;(2p+1)], p∈ℕ
0,36787944117144232159552377016146086	Inverso del Número e	$\frac{1}{e}$	$\sum_{n = 0}^\infty \frac{(-1)^n}{n!} = \frac{1}{0!} - \frac{1}{1!} + \frac{1}{2!} - \frac{1}{3!} + \frac{1}{4!} - \frac{1}{5!} +\cdots$	sum[n=2 to ∞] {(-1)^n/n!}		T	A068985	[0;2,1,1,2,1,1,4,1,1,6,1,1,8,1,1,10,1,1,12,...] = [0;2,1,(1,2p,1)], p∈ℕ
2,71828182845904523536028747135266250	Número e, constante de Euler	${e}$	$\sum_{n = 0}^\infty \frac{1}{n!} = \frac{1}{0!} + \frac{1}{1} + \frac{1}{2!} + \frac{1}{3!} + \frac{1}{4!} + \frac{1}{5!} + \cdots$	Sum[n=0 to ∞] {1/n!}		T	A001113	[2;1,2,1,1,4,1,1,6,1,1,8,1,1,10,1,1,12,1,...] = [2;(1,2p,1)], p∈ℕ
0,49801566811835604271369111746219809 - 0,15494982830181068512495513048388 i	Factorial de i	${i}\,!$	$\Gamma (1+i) = i \, \Gamma (i)$	Gamma(1+i)		C	A212877 A212878	[0;6,2,4,1,8,1,46,2,2,3,5,1,10,7,5,1,7,2,...] - [0;2,125,2,18,1,2,1,1,19,1,1,1,2,3,34,...] i
0,43828293672703211162697516355126482 + 0,36059247187138548595294052690600 i	Tetración infinita de i	${}^\infty {i}$	$\lim_{n \to \infty} {}^n i = \lim_{n \to \infty} \underbrace{i^{i^{\cdot^{\cdot^{i}}}}}_n$	i^i^i^...		C	A077589 A077590	[0;2,3,1,1,4,2,2,1,10,2,1,3,1,8,2,1,2,1, ...] + [0;2,1,3,2,2,3,1,5,5,1,2,1,10,10,6,1,1...] i
0,56755516330695782538461314419245334	Módulo de la Tetración infinita de i	$|{}^\infty {i} |$	$\lim_{n \to \infty} \left | {}^n i \right | =\left | \lim_{n \to \infty} \underbrace{i^{i^{\cdot^{\cdot^{i}}}}}_n \right |$	Mod(i^i^i^...)			A212479	[0;1,1,3,4,1,58,12,1,51,1,4,12,1,1,2,2,3,...]
0,26149721284764278375542683860869585	Constante de Meissel-Mertens	${M}$	$\lim_{n \rightarrow \infty } \left( \sum_{p \leq n} \frac{1}{p} - \ln(\ln(n)) \right)$ ..... p: primos				A077761	[0;3,1,4,1,2,5,2,1,1,1,1,13,4,2,4,2,1,33,...]
1,9287800...	Constante de Wright	${\omega}$	$\left \lfloor 2^{2^{2^{\cdot^{\cdot^{2^{\omega}}}}}} \right \rfloor$ = primos: $\quad$ $\left\lfloor 2^\omega\right\rfloor$ =3, $\left\lfloor 2^{2^\omega} \right\rfloor$ =13, $\left\lfloor 2^{2^{2^\omega}} \right\rfloor$ =16381, $\dots$				A086238	[1; 1, 13, 24, 2, 1, 1, 3, 1, 1, 3]
0,37395581361920228805472805434641641	Constante de Artin	${C}_{Artin}$	$\prod_{n=1}^{\infty} \left(1-\frac{1}{p_n(p_n-1)}\right)$ ...... pn: primo		Ribenboim, P. My Numbers, My Friends	T	A005596	[0;2,1,2,14,1,1,2,3,5,1,3,1,5,1,1,2,3,5,46,...]
4,66920160910299067185320382046620161	Constante δ de Feigenbaum	${\delta}$	$\lim_{n \to \infty}\frac {x_{n+1}-x_n}{x_{n+2}-x_{n+1}} \qquad \scriptstyle x \in (3,8284;\, 3,8495)$ $\scriptstyle x_{n+1}=\,ax_n(1-x_n)\quad {o} \quad x_{n+1}=\,a\sin(x_n)$			T	A006890	[4;1,2,43,2,163,2,3,1,1,2,5,1,2,3,80,2,5,...]
2,50290787509589282228390287321821578	Constante α de Feigenbaum	$\alpha$	$\lim_{n \to \infty}\frac {d_n}{d_{n+1}}$			T	A006891	[2;1,1,85,2,8,1,10,16,3,8,9,2,1,40,1,2,3,...]
5,97798681217834912266905331933922774	Constante hexagonal Madelung 2	${H}_{2}(2)$	$\pi \ln(3) \sqrt 3$	Pi Log[3]Sqrt[3]		T	A086055	[5;1,44,2,2,1,15,1,1,12,1,65,11,1,3,1,1,...]
0,96894614625936938048363484584691860	Constante Beta(3)	${\beta} (3)$	$\frac{\pi^3}{32} = \sum_{n=1}^\infty\frac{-1^{n+1}}{(-1+2n)^3} = \frac{1}{1^3} {-} \frac{1}{3^3} {+} \frac{1}{5^3} {-} \frac{1}{7^3} {+} ...$	Sum[n=1 to ∞] {(-1)^(n+1)/(-1+2n)^3}		T	A153071	[0;1,31,4,1,18,21,1,1,2,1,2,1,3,6,3,28,1,...]
1,902160583104	Constante de Brun 2 = Σ inv. primos gemelos	${B}_{\,2}$	$\textstyle \sum \underset{p,\, p+2: \, {primos}}{(\frac1{p}+\frac1{p+2})} = (\frac1{3} {+} \frac1{5}) + (\tfrac1{5} {+} \tfrac1{7}) + (\tfrac1{11} {+} \tfrac1{13}) + ...$				A065421	[1; 1, 9, 4, 1, 1, 8, 3, 4, 4, 2, 2]
0,870588379975	Constante de Brun 4 = Σ inv. primos gemelos	${B}_{\,4}$	$\underset{p,\, p+2,\, p+4,\, p+6: \, {primos}} {\left(\tfrac1{5} + \tfrac1{7} + \tfrac1{11} + \tfrac1{13}\right)}+ \left(\tfrac1{11} + \tfrac1{13} + \tfrac1{17} + \tfrac1{19}\right)+ \dots$				A213007	[0; 1, 6, 1, 2, 1, 2, 956, 3, 1, 1]
22,4591577183610454734271522045437350	pi^e	$\pi^{e}$	$\pi^{e}$	pi^e			A059850	[22;2,5,1,1,1,1,1,3,2,1,1,3,9,15,25,1,1,5,...]
3,14159265358979323846264338327950288	Número π, constante de Arquímedes	${\pi}$	$\lim_{n\to \infty }\, 2^{n} \underbrace{\sqrt{2-\sqrt{2+\sqrt{2+\text{...} +\sqrt{2}}}}}_n$	Sum[n=0 to ∞] {(-1)^n 4/(2n+1)}		T	A000796	[3;7,15,1,292,1,1,1,2,1,3,1,14,...]
0,06598803584531253707679018759684642		${e}^{-e}$	$e^{-e}$ ... Límite inferior de Tetración			T	A073230	[0;15,6,2,13,1,3,6,2,1,1,5,1,1,1,9,4,1,1,1,...]
0,20787957635076190854695561983497877	i^i	${i}^{i}$	$e^ \frac{-\pi}{2}$	e^(-pi/2)		T	A049006	[0;4,1,4,3,1,1,1,1,1,1,1,1,7,1,20,1,3,6,10,...]
0,28016949902386913303643649123067200	Constante de Bernstein	${\beta}$	$\frac {1}{2\sqrt {\pi}}$			T	A073001	[0;3,1,1,3,9,6,3,1,3,13,1,16,3,3,4,…]
0,28878809508660242127889972192923078	Flajolet and Richmond	${Q}$	$\prod_{n=1}^{\infty} \left(1 - \frac{1}{2^n}\right) = \left(1{-}\frac{1}{2^1}\right) \left(1{-}\frac{1}{2^2} \right)\left(1{-}\frac{1}{2^3} \right) ...$	prod[n=1 to ∞] {1-1/2^n}			A048651
0,31830988618379067153776752674502872	Inverso de Pi, Ramanujan	$\frac{1}{\pi}$	$\frac{2\sqrt{2}}{9801} \sum^\infty_{n=0} \frac{(4n)!(1103+26390n)}{(n!)^4 396^{4n}}$			T	A049541	[0;3,7,15,292,1,1,1,2,1,3,1,14,2,1,1,...]
0,47494937998792065033250463632798297	Constante de Weierstrass	${W}_{WE}$	$\frac{e^{\frac{\pi}{8}}\sqrt{\pi}}{4*2^{3/4} {(\frac {1}{4}!)^2}}$	(E^(Pi/8) Sqrt[Pi])/(4 2^(3/4) (1/4)!^2)		T	A094692	[0;2,9,2,11,1,6,1,4,6,3,19,9,217,1,2,...]
0,57721566490153286060651209008240243	Constante de Euler-Mascheroni	${\gamma}$	$-\psi(1) = \sum_{n=1}^\infty \sum_{k=0}^\infty \frac{(-1)^k}{2^n+k} = \sum_{n=1}^\infty \frac{1}{n} -\ln(n)$	sum[n=1 to ∞] |sum[k=0 to ∞] {((-1)^k)/(2^n+k)}		?	A001620	[0;1,1,2,1,2,1,4,3,13,5,1,1,8,1,2,...]
0,60459978807807261686469275254738524	Serie de Dirichlet	$\frac{\pi}{3 \sqrt 3}$	$\sum_{n = 1}^\infty \frac{1}{n{2n \choose n}} = 1 - \frac{1}{2} + \frac{1}{4} - \frac{1}{5} + \frac{1}{7} - \frac{1}{8} + \cdots$	Sum[1/(n Binomial[2 n, n]), {n, 1, ∞}]		T	A073010	[0;1,1,1,1,8,10,2,2,3,3,1,9,2,5,4,1,27,27,...]
0,63661977236758134307553505349005745	2/Pi por, François Viète	$\frac{2}{\pi}$	$\frac{\sqrt2}2 \cdot \frac{\sqrt{2+\sqrt2}}2 \cdot \frac{\sqrt{2+\sqrt{2+\sqrt2}}}2 \cdots$			T	A060294	[0;1,1,1,3,31,1,145,1,4,2,8,1,6,1,2,3,1,4,...]
0,66016181584686957392781211001455577	Constante de los primos gemelos	${C}_{2}$	$\prod_{p=3}^\infty \frac{p(p-2)}{(p-1)^2}$	prod[p=3 to ∞] {p(p-2)/(p-1)^2			A005597	[0;1,1,1,16,2,2,2,2,1,18,2,2,11,1,1,2,4,1,...]
0,66274341934918158097474209710925290	Constante límite de Laplace	${\lambda}$					A033259	[0;1,1,1,27,1,1,1,8,2,154,2,4,1,5,...]
0,69314718055994530941723212145817657	Logaritmo natural de 2	$Ln(2)$	$\sum_{n=1}^\infty \frac{(-1)^{n+1}}{n} = \frac{1}{1}-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\frac{1}{5}-\cdots$	Sum[n=1 to ∞] {(-1)^(n+1)/n}		T	A002162	[0;1,2,3,1,6,3,1,1,2,1,1,1,1,3,10,...]
0,78343051071213440705926438652697546	Sophomore's Dream 1 J.Bernoulli	${I}_{1}$	$\sum_{n = 1}^\infty \frac{(-1)^{n+1}}{n^n} = 1 - \frac{1}{2^2} + \frac{1}{3^3} - \frac{1}{4^4} + \frac{1}{5^5} + ...$	Sum[ -(-1)^n /n^n]		T	A083648	[0;1,3,1,1,1,1,1,1,2,4,7,2,1,2,1,1,1,...]
0,78539816339744830961566084581987572	Dirichlet beta(1)	${\beta}(1)$	$\frac{\pi}{4} = \sum_{n = 0}^\infty \frac{(-1)^n}{2n+1} = \frac{1}{1} - \frac{1}{3} + \frac{1}{5} - \frac{1}{7} + \frac{1}{9} - \cdots$	Sum[n=0 to ∞] {(-1)^n/(2n+1)}		T	A003881	[0; 1,3,1,1,1,15,2,72,1,9,1,17,1,2,1,5,...]
0,82246703342411321823620758332301259	Traveling Salesman, Nielsen-Ramanujan	$\frac{{\zeta}(2)}{2}$	$\frac{\pi^2}{12} = \sum_{n=1}^\infty\frac{(-1)^{n+1}}{n^2} = \frac{1}{1^2} {-} \frac{1}{2^2} {+} \frac{1}{3^2} {-} \frac{1}{4^2} {+} \frac{1}{5^2} {-} ...$	Sum[n=1 to ∞] {((-1)^(k+1))/n^2}		T	A072691	[0;1,4,1,1,1,2,1,1,1,1,3,2,2,4,1,1,1,...]
0,91596559417721901505460351493238411	Constante de Catalan	${C}$	$\sum_{n = 0}^\infty \frac{(-1)^n}{(2n+1)^2} = \frac{1}{1^2}-\frac{1}{3^2}+\frac{1}{5^2}-\frac{1}{7^2}+\cdots$	Sum[n=0 to ∞] {(-1)^n/(2n+1)^2}		I	A006752	[0;1,10,1,8,1,88,4,1,1,7,22,1,2,...]
1,05946309435929526456182529494634170	Constante entre semitonos de la escala musical	$\sqrt[12]{2}$	$\sqrt[12]{2}$	2^(1/12)		I	A010774	[1;16,1,4,2,7,1,1,2,2,7,4,1,2,1,60,1,3,1,2,...]
1,08232323371113819151600369654116790	Constante Zeta(4)	$\zeta(4)$	$\frac{\pi^4}{90} = \sum_{n=1}^\infty\frac{{1}}{n^4} = \frac{1}{1^4} + \frac{1}{2^4} + \frac{1}{3^4} + \frac{1}{4^4} + \frac{1}{5^4} + ...$	Sum[n=1 to ∞] {1/n^4}		T	A013662	[1;12,6,1,3,1,4,183,1,1,2,1,3,1,1,5,4,2,7,...]
1,1319882487943 ...	Constante de Viswanath	${C}_{Vi}$	$\lim_{n \to \infty}|a_n|^\frac{1}{n}$				A078416	[1;7,1,1,2,1,3,2,1,2,1,8,1,5,1,1,1,9,1,...]
1,20205690315959428539973816151144999	Constante de Apéry	$\zeta(3)$	$\sum_{n=1}^\infty\frac{1}{n^3} = \frac{1}{1^3}+\frac{1}{2^3} + \frac{1}{3^3} + \frac{1}{4^3} + \frac{1}{5^3} + \cdots\,\!$	Sum[n=1 to ∞] {1/n^3}		I	A010774	[1;4,1,18,1,1,1,4,1,9,9,2,1,1,1,2,...]
1,22541670246517764512909830336289053	Gamma(3/4)	$\Gamma(\tfrac34)$	$\left(-1+\frac{3}{4}\right)!$	(-1+3/4)!		T	A068465	[1;4,2,3,2,2,1,1,1,2,1,4,7,1,171,3,2,3,1,1,...]
1,23370055013616982735431137498451889	Constante de Favard	$\tfrac34\zeta(2)$	$\frac{\pi^2}{8} = \sum_{n = 0}^\infty \frac{1}{(2n-1)^2} = \frac{1}{1^2}+\frac{1}{3^2}+\frac{1}{5^2}+\frac{1}{7^2}+\cdots$	sum[n=1 to ∞] {1/((2n-1)^2)}		T	A111003	[1;4,3,1,1,2,2,5,1,1,1,1,2,1,2,1,10,4,3,1,1,...]
1,25992104989487316476721060727822835	Raíz cúbica de dos, constante Delian	$\sqrt[3]{2}$	$\sqrt[3]{2}$	2^(1/3)		I	A002580	[1;3,1,5,1,1,4,1,1,8,1,14,1,10,...]
1,29128599706266354040728259059560054	Sophomore's Dream 2 J.Bernoulli	${I}_{2}$	$\sum_{n = 1}^\infty \frac{1}{n^n} = 1 + \frac{1}{2^2} + \frac{1}{3^3} + \frac{1}{4^4} + \frac{1}{5^5} + \frac{1}{6^6} + ...$	Sum[1/(n^n]), {n, 1, ∞}]			A073009	[1;3,2,3,4,3,1,2,1,1,6,7,2,5,3,1,2,1,8,1,...]
1,32471795724474602596090885447809734	Número plástico	${\rho}$	$\sqrt[3]{1 + \sqrt[3]{1 + \sqrt[3]{1 + \sqrt[3]{1 + \cdots}}}}$			I	A060006	[1;3,12,1,1,3,2,3,2,4,2,141,80,2,5,1,2,8,...]
1,41421356237309504880168872420969808	Raíz cuadrada de 2, constante de Pitágoras	$\sqrt{2}$	$\prod_{n=1}^\infty 1+\frac{(-1)^{n+1}}{2n-1} = \left(1{+}\frac{1}{1}\right) \left(1{-}\frac{1}{3} \right)\left(1{+}\frac{1}{5} \right) ...$	prod[n=1 to ∞] {1+(-1)^(n+1)/(2n-1)}		I	A002193	[1;2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,...] = [1;(2),...]
1,44466786100976613365833910859643022	Número de Steiner	${e}^{\frac{1}{e}}$	$e^{1/e}$ ... Límite superior de Tetración				A073229	[1;2,4,55,27,1,1,16,9,3,2,8,3,2,1,1,4,1,9,...]
1,53960071783900203869106341467188655	Constante Square Ice de Lieb	${W}_{2D}$	$\lim_{n \to \infty}(f(n))^{n^{-2}}=\left(\frac{4}{3}\right)^\frac{3}{2}$	(4/3)^(3/2)		I	A118273	[1;1,1,5,1,4,2,1,6,1,6,1,2,4,1,5,1,1,2,...]
1,57079632679489661923132169163975144	Producto de Wallis	${\pi}/2$	$\prod_{n=1}^{\infty} (\frac{4n^2}{4n^2 - 1}) = \frac{2}{1} \cdot \frac{2}{3} \cdot \frac{4}{3} \cdot \frac{4}{5} \cdot \frac{6}{5} \cdot \frac{6}{7} \cdot \frac{8}{7} \cdot \frac{8}{9} \cdots$			T	A019669	[1;1,1,3,31,1,145,1,4,2,8,1,6,1,2,3,1...]
1,60669515241529176378330152319092458	Constante de Erdős–Borwein	${E}_{\,B}$	$\sum_{n=1}^{\infty}\frac{1}{2^n-1} = \frac{1}{1} + \frac{1}{3} + \frac{1}{7} + \frac{1}{15} + \cdots\,\!$	sum[n=1 to ∞] {1/(2^n-1)}		I	A065442	[1;1,1,1,1,5,2,1,2,29,4,1,2,2,2,2,6,1,7,1,...]
1,61803398874989484820458633436563812	Fi, Número áureo	${\varphi}$	$\frac{1 + \sqrt{5}}{2} = \sqrt{1 + \sqrt{1 + \sqrt{1 + \sqrt{1 + \cdots}}}}$	(1+5^(1/2))/2		I	A001622	[0;1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,...] = [0;(1),...]
1,64493406684822643647241516664602519	Función Zeta (2) de Riemann	${\zeta}(\,2)$	$\frac{\pi^2}{6} = \sum_{n=1}^\infty\frac{1}{n^2} = \frac{1}{1^2} + \frac{1}{2^2} + \frac{1}{3^2} + \frac{1}{4^2} + \cdots$	Sum[n=1 to ∞] {1/n^2}		T	A013661	[1;1,1,1,4,2,4,7,1,4,2,3,4,10 1,2,1,1,1,15,...]
1,73205080756887729352744634150587237	Constante de Theodorus	$\sqrt{3}$	$\sqrt{3}$	3^(1/2)		I	A002194	[1;1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,...] = [1;(1,2),...]
1,75793275661800453270881963821813852	Número de Kasner	${R}$	$\sqrt{1 + \sqrt{2 + \sqrt{3 + \sqrt{4 + \cdots}}}}$				A072449	[1;1,3,7,1,1,1,2,3,1,4,1,1,2,1,2,20,1,2,2,...]
1,77245385090551602729816748334114518	Constante de Carlson-Levin	${\Gamma}(\tfrac12)$	$\sqrt{\pi} = \left(-\frac{1}{2}\right)!$	sqrt (pi)		T	A002161	[1;1,3,2,1,1,6,1,28,13,1,1,2,18,1,1,1,83,1,...]
2,29558714939263807403429804918949038	Constante universal parabólica	${P}_{\,2}$	$\ln(1 + \sqrt2) + \sqrt2$	ln(1+sqrt 2)+sqrt 2		T	A103710	[2;3,2,1,1,1,1,3,3,1,1,4,2,3,2,7,1,6,1,8,...]
2,30277563773199464655961063373524797	Número de bronce	${\sigma}_{\,Rr}$	$\frac {3+\sqrt{13}}{2} = 1+ \sqrt{3+\sqrt{3+\sqrt{3+\sqrt{3+\cdots}}}}$	(3+sqrt 13)/2		I	A098316	[3;3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,...] = [3;(3),...]
2,37313822083125090564344595189447424	Constante de Lévy 2	$2\,ln\,\gamma$	$\frac{\pi^2}{6ln(2)}$	Pi^(2)/(6*ln(2))		T	A174606	[2;2,1,2,8,57,9,32,1,1,2,1,2,1,2,1,2,1,3,2,...]
2,50662827463100050241576528481104525	Raíz cuadrada de 2 pi	$\sqrt{2 \pi}$	$\sqrt{2 \pi} = \lim_{n \to \infty} \frac {n! \; e^n}{n^n \sqrt{n}}$	sqrt (2*pi)	Fórmula de Stirling	T	A019727	[2;1,1,37,4,1,1,1,1,9,1,1,2,8,6,1,2,2,1,3,...]
2,66514414269022518865029724987313985	Constante de Gelfond-Schneider	$G_{\,GS}$	$2^{\sqrt{2}}$	2^sqrt{2}		T	A007507	[2;1,1,1,72,3,4,1,3,2,1,1,1,14,1,2,1,1,3,1,...]
2,68545200106530644530971483548179569	Constante de Khintchin	$K_{\,0}$	$\prod_{n=1}^\infty \left[{1+{1\over n(n+2)}}\right]^{\ln n/\ln 2}$	prod[n=1 to ∞] {(1+1/(n(n+2))) ^((ln(n)/ln(2))}		?	A002210	[2;1,2,5,1,1,2,1,1,3,10,2,1,3,2,24,1,3,2,...]
3,27582291872181115978768188245384386	Constante de Khinchin-Lévy	$\gamma$	$e^{\pi^2/(12\ln2)}$	e^(\pi^2/(12 ln(2))			A086702	[3;3,1,1,1,2,29,1,130,1,12,3,8,2,4,1,3,55,...]
3,35988566624317755317201130291892717	Constante de Prévost, sum. inversos de Fibonacci	$\Psi$	$\sum_{n=1}^{\infty} \frac{1}{F_n} = \frac{1}{1} + \frac{1}{1} + \frac{1}{2} + \frac{1}{3} + \frac{1}{5} + \frac{1}{8} + \frac{1}{13} + \cdots$		G.P.Michon Numerical Constants	I	A079586	[3;2,1,3,1,1,13,2,3,3,2,1,1,6,3,2,4,362,...]
4,13273135412249293846939188429985264	Raíz de 2 e pi	$\sqrt{2e \pi}$	$\sqrt{2e \pi}$	sqrt(2e pi)		T	A019633	[4;7,1,1,6,1,5,1,1,1,8,3,1,2,2,15,2,1,1,2,4,...]
6,58088599101792097085154240388648649	Constante de Froda	$2^{\,e}$	$2^e$	2^e				[6;1,1,2,1,1,2,3,1,14,11,4,3,1,1,7,5,5,2,7,...]
9,86960440108935861883449099987615114	Pi al Cuadrado	${\pi} ^2$	$6 \sum_{n=1}^\infty \frac{1}{n^2} = \frac{6}{1^2} + \frac{6}{2^2} + \frac{6}{3^2} + \frac{6}{4^2}+ \cdots$	6 Sum[n=1 to ∞] {1/n^2}		T	A002388	[9;1,6,1,2,47,1,8,1,1,2,2,1,1,8,3,1,10,5,...]
23,1406926327792690057290863679485474	Constante de Gelfond	${e}^{\pi}$	$\sum_{n=0}^\infty \frac{\pi^{n}}{n!} = \frac{\pi^{1}}{1} + \frac{\pi^{2}}{2!} + \frac{\pi^{3}}{3!} + \frac{\pi^{4}}{4!}+ \cdots$	Sum[n=0 to ∞] {(pi^n)/n!}		T	A039661	[23;7,9,3,1,1,591,2,9,1,2,34,1,16,1,30,1,...]

Tabla de constantes matemáticas

Abreviaciones usadas:

• R - Número racional
• I - Número irracional algebraico
• T - número irracional trascendental
•  ? - desconocido

Símbolo o valor exacto	Valor aproximado	Nombre	Tipo	Nº de decimales conocidos	Fecha
0	0	cero	R	-	-
1	1	uno	R	-	-
$\pi\,$	3,14159 26535 89793 23846 26433 83279 50288 41971	Pi, constante de Arquímedes o número de Ludolph	T	10.000.000.000.050	22/10/2011
$e=\lim_{n\to\infty}\left(1+\frac{1}{n}\right)^n$	2,71828 18284 59045 23536 02874 71352 66249 77572	Constante de Napier, base del logaritmo natural	T	1.000.000.000.000	2010
$\sqrt{2}$	1,41421 35623 73095 04880 16887 24209 69807 85696	Raíz cuadrada de dos, constante de Pitágoras.	I	1.000.000.000.000	2010
$\sqrt{3}$	1,73205 08075 68877 29352 74463 41505 87236 69428	Raíz cuadrada de tres	I	10.000.000
$\sqrt{5}$	2,23606 79774 99789 69640 91736 68731 27623 54406	Raíz cuadrada de cinco	I	10.000.000	20/12/1999
$\phi,\tau = \frac{1+\sqrt{5}}{2}$	1,61803 39887 49894 84820 45868 34365 63811 77203	Número áureo, simbolizado tanto como φ como por τ.	I	1.000.000.000.000	2010
$\gamma = \lim_{n \rightarrow \infty } \left[\sum_{k=1}^n \frac{1}{k} - \ln(n) \right]$	0,57721 56649 01532 86060 65120 90082 40243 10421	Constante de Euler-Mascheroni	?	29.844.489.545	2009
$\alpha\,$	-2,50290 78750 95892 82228 39028 73218 21578 63812	Constante α de Feigenbaum		1018	1999
$\delta\,$	4,66920 16091 02990 67185 32038 20466 20161 72581	Constante δ de Feigenbaum		1018	1999
$C_{artin}=\prod_{p\, primo}\left(1-\frac{1}{p(p-1)}\right)$	0,37395 58136 19202 28805 47280 54346 41641 51116	Constante de Artin		1000	1999
$C_2=\prod_{p\ge 3}\frac{p(p-2)}{(p-1)^2}$	0,66016 18158 46869 57392 78121 10014 55577 84326	Constante de los primos gemelos		5.020	2001
$B_2\,$	1,90216 0582	Constante de Brun para los primos gemelos		9	1999 / 2002

Libros

• Finch, Steven (2003). Mathematical constants. Cambridge University Press. ISBN 0-521-81805-3. 

• Daniel Zwillinger (2012). Standard Mathematical Tables and Formulae. Imperial College Press.. ISBN 978-1-4398-3548-7. 

• Eric W. Weisstein (2003). CRC Concise Encyclopedia of Mathematics. Chapman & Hall/CRC. ISBN 1-58488-347-2. 

• Lloyd Kilford (2008). Modular Forms, a Classical and Computational Introduction. Imperial College Press.. ISBN 10 1-84816-213-8. 

Enlaces externos

• Tablas de decimales de constantes en http://www.gutenberg.org.
• Miscellaneous Mathematical Constants - 170000 digits of Euler or gamma.

• Constants - from Wolfram MathWorld
• On-Line Encyclopedia of Integer Sequences (OEIS)
• Simon Plouffe, Tables of Constants
• Xavier Gourdon and Pascal Sebah's page of numbers, mathematical constants and algorithms
• MathConstants