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Math Constants Precisely Calculated
These are some math constants I calculated using my Fixed Calculator page.
I'll briefly explain what they are and show the value.
Irrational
The square root of 2 is the positive constant that, when squared, returns exactly 2.
Value to 500 decimal places:
1.41421356237309504880168872420969807856967187537694807317667973799073247846210703885038753432764157273501384623091229702492483605585073721264412149709993583141322266592750559275579995050115278206057147010955997160597027453459686201472851741864088919860955232923048430871432145083976260362799525140798968725339654633180882964062061525835239505474575028775996172983557522033753185701135437460340849884716038689997069900481503054402779031645424782306849293691862158057846311159666871301301561856898723723
Irrational
The square root of 5 is the positive constant that, when squared, returns exactly 5. It is also related to Phi (see below).
Value to 500 decimal places:
2.23606797749978969640917366873127623544061835961152572427089724541052092563780489941441440837878227496950817615077378350425326772444707386358636012153345270886677817319187916581127664532263985658053576135041753378500342339241406444208643253909725259262722887629951740244068161177590890949849237139072972889848208864154268989409913169357701974867888442508975413295618317692149997742480153043411503595766833251249881517813940800056242085524354223555610630634282023409333198293395974635227120134174961420
Irrational
Phi is the constant with the formula sqrt(1.25) + 0.5. It is also the convergent ratio between adjacent Fibonacci terms.
Value to 500 decimal places:
1.61803398874989484820458683436563811772030917980576286213544862270526046281890244970720720418939113748475408807538689175212663386222353693179318006076672635443338908659593958290563832266131992829026788067520876689250171169620703222104321626954862629631361443814975870122034080588795445474924618569536486444924104432077134494704956584678850987433944221254487706647809158846074998871240076521705751797883416625624940758906970400028121042762177111777805315317141011704666599146697987317613560067087480710
Transcendental
Euler's number is the natural language of exponential growth. It is the convergent sum of 1 + 1/1! + 1/2! + 1/3! + 1/4! + 1/5!...
Value to 500 decimal places:
2.71828182845904523536028747135266249775724709369995957496696762772407663035354759457138217852516642742746639193200305992181741359662904357290033429526059563073813232862794349076323382988075319525101901157383418793070215408914993488416750924476146066808226480016847741185374234544243710753907774499206955170276183860626133138458300075204493382656029760673711320070932870912744374704723069697720931014169283681902551510865746377211125238978442505695369677078544996996794686445490598793163688923009879312
Transcendental
Pi is the one of the most famous constants out there. It is defined as the circle's circumference ratio to diameter.
Value to 500 decimal places:
3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196442881097566593344612847564823378678316527120190914564856692346034861045432664821339360726024914127372458700660631558817488152092096282925409171536436789259036001133053054882046652138414695194151160943305727036575959195309218611738193261179310511854807446237996274956735188575272489122793818301194912
Integer
This one may seem obvious, but 0 is defined as the origin of all real numbers. Anything less than 0 is negative, anything above 0 is positive.
Integer
This one may seem obvious, but 1 is defined as the real number unit. The most basic idea of 1 is the quantity of a singular item.
Imaginary/Complex
The square root of -1 does not correspond to any real number. i is imagined as the square root of -1. Complex numbers can be formed by adding a real number to an imaginary number.
Transcendental
The convergent sum of the reciprocals of squares 1/1^2 + 1/2^2 + 1/3^2 + 1/4^2 + 1/5^2... converges to pi^2 / 6. There are many reasons behind that.
Value to 500 decimal places:
1.64493406684822643647241516664602518921894990120679843773555822937000747040320087383362890061975870530400431896233719067962872468700500778793510294633086627683173330936776260509525100687214005479681155879489036082327776191984075645587696323563670971009694890208593200805163647887833884604444518405982514525068338763142276587939295880632044721979084773409105902083782895492782638903797635833439420451591208180995934544487745879650088088940870111163471069316146184288798154862448359091834487573874283940
Transcendental
A planck length is the shortest theoretical length in our universe. The formula is defined as sqrt((reduced planck length)*(gravitational constant)/(speed of light^3))
Value to 500 decimal places (in meters):
0.00000000000000000000000000000000001616255024423705286500047697249314156917498590079876463568563666973739718761228679345002265972833310696756645076935304865609332057441368662854800570781094315928117160519427596793978686541587689536337911921049346764148722077481282701085563705829017218253570628473491430146959071767270711132623783871076508984066416544595474332974203390597838551922854224353873947493416421860405181555577181051672436240331260922082439099284259313734740490906818808208005806771923673727
Rational
The standard (average) gravity on earth is the acceleration of downward fall.
Exact value (in m/s^2):
9.80665
Transcendental
The Champernowne constant is formed by concatenating the counting numbers into a decimal. Not every string of numbers is guaranteed to be in pi or e, but are in this constant.
Value to 500 decimal places:
0.12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970717273747576777879808182838485868788899091929394959697989910010110210310410510610710810911011111211311411511611711811912012112212312412512612712812913013113213313413513613713813914014114214314414514614714814915015115215315415515615715815916016116216316416516616716816917017117217317417517617717817918018118218318418518618718818919019119219319419519619719819920020120220