The API of Pi (π) Digits
This page implements a Javascript Ajax utility that calls the API to fetch digits of Math constant Pi.
The PI values are pre-computed and stored in various text files for fast retrieval via the API.
The first 10 digits of Pi (π) are 3.1415926535
100 Digits of PI
3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706
1000 Digits of PI
3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196442881097566593344612847564823378678316527120190914564856692346034861045432664821339360726024914127372458700660631558817488152092096282925409171536436789259036001133053054882046652138414695194151160943305727036575959195309218611738193261179310511854807446237996274956735188575272489122793818301194912983367336244065664308602139494639522473719070217986094370277053921717629317675238467481846766940513200056812714526356082778577134275778960917363717872146844090122495343014654958537105079227968925892354201995611212902196086403441815981362977477130996051870721134999999837297804995105973173281609631859502445945534690830264252230825334468503526193118817101000313783875288658753320838142061717766914730359825349042875546873115956286388235378759375195778185778053217122680661300192787661119590921642019
What is π (Pi)?
Pi (π) is the ratio of a circle's circumference to its diameter. This means that no matter how big or small a circle is, if you divide the distance around it (circumference) by the distance across it (diameter), you will always get approximately 3.14159.
Why is pi important?
Pi is a fundamental constant that appears in countless areas of mathematics and physics. Here's why it's so crucial:
- Circles: Pi is essential for calculations involving circles, like finding their area or the length of an arc.
- Geometry: Pi pops up in formulas for spheres, cylinders, cones, and many other geometric shapes.
- Trigonometry: Pi is related to angles, sine waves, and cosine waves, which are used extensively in modeling periodic phenomena.
- Physics: Pi shows up in equations describing waves, electricity, magnetism, and even Einstein's theory of relativity.
Interesting Facts about Pi
- Irrational Number: Pi cannot be expressed as a simple fraction of whole numbers. Its decimal representation goes on forever without repeating.
- Transcendental Number: Pi is even more special than irrational numbers; it can't be the solution to any polynomial equation with rational coefficients.
- Pi Day: Math enthusiasts around the world celebrate Pi Day on March 14th (3/14).
API (Application Programming Interface)
https://uploadbeta.com/api/pi/?cached&n=100It will return JSON-encoded data (First 100 digits of Pi):
"314159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706"Parameter n is the number of digits.
Get PI Digits - API Servers
All servers are subject to fair use policy:- Load Balancer: https://api.justyy.workers.dev/api/
Complete API Source Code (PHP - Fetch)
$n = 100; $maxn = 1000000; if (isset($_GET['n'])) { $n = (integer)$_GET['n']; } if ($n < 1) { $n = 1; } if ($n > $maxn) { die(json_encode("MAXIMUM $maxn DIGITS")); } $cache = array( 100, 1000, 2500, 5000, 8000, 10000, 25000, 50000, 75000, 100000, 250000, 375000, 500000, 750000, 875000, 1000000 ); foreach ($cache as $key) { $keyfile = "cache/$key"; if (($key >= $n) && file_exists($keyfile)) { $data = substr(file_get_contents($keyfile), 0, $n); break; } } header("Access-Control-Allow-Origin: *"); header('Content-Type: application/json'); die(json_encode($data));
PI Compute Algorithm (Python Code)
More Benchmarkingdef ComputePi(numdigits): pi = "" a = [2] * (10*numdigits / 3) nines = 0 predigit = 0 for j in xrange(0, numdigits): q = 0 p = 2 * len(a) - 1 for i in xrange(len(a)-1, -1, -1): x = 10*a[i] + q*(i+1) q, a[i] = divmod(x, p) p -= 2 a[0] = q % 10 q /= 10 if q == 9: nines += 1 elif q == 10: pi += chr(predigit + 1 + ord("0")) pi += "0" * nines predigit = 0 nines = 0 else: pi += chr(predigit + ord("0")) predigit = q; pi += "9" * nines nines = 0 pi += chr(predigit + ord('0')) return pi