PI Explainer
π (Pi) is a mathematical constant that represents an irrational number, meaning its decimal representation goes on infinitely without repeating. While Pi can theoretically be calculated to an infinite number of digits, achieving high levels of accuracy becomes increasingly challenging as more digits are calculated. For instance, the commonly used approximation of 22/7 yields an accurate value of 3.14, but it begins to diverge and lose accuracy beyond the second decimal place.
Why AI?
For centuries, mathematicians have developed series and algorithms to calculate π with incredible precision, reaching millions, billions, and even trillions of decimal places. These methods are well documented, and programming languages like C, along with precision libraries like GMP, have a long history of application in advanced mathematics. This provides an ideal foundation for leveraging a well-trained large language model (LLM) and generative artificial intelligence to write code and analyze results. That is the purpose of this site.
Using This Site
Over 95% of the content, code, and data files on this site were created or enhanced using generative AI. The result is a collection of tools specifically designed to generate and analyze high-precision versions of the mathematical constant π. Additional content has been provided to complement these tools and encourage visitors to explore further and build upon this work. As you will see from the journey log, not all went as planned.
To get started, explore the site’s various calculators (including source code) or download various precision files in text, csv, PDF, or JSON formats.
An example of the results of our Simple C calculator is π (Pi) calculated to 500 digits of precision:
3.
1415926535 8979323846 2643383279 5028841971 6939937510
5820974944 5923078164 0628620899 8628034825 3421170679
8214808651 3282306647 0938446095 5058223172 5359408128
4811174502 8410270193 8521105559 6446229489 5493038196
4428810975 6659334461 2847564823 3786783165 2712019091
4564856692 3460348610 4543266482 1339360726 0249141273
7245870066 0631558817 4881520920 9628292540 9171536436
7892590360 0113305305 4882046652 1384146951 9415116094
3305727036 5759591953 0921861173 8193261179 3105118548
0744623799 6274956735 1885752724 8912279381 8301194912
You can easily copy the 500-digit version below OR visit or downloads page for other options and formats.
3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196442881097566593344612847564823378678316527120190914564856692346034861045432664821339360726024914127372458700660631558817488152092096282925409171536436789259036001133053054882046652138414695194151160943305727036575959195309218611738193261179310511854807446237996274956735188575272489122793818301194912