Input an integer number (less than 100,000)
Explore the digits of the most famous mathematical constant.
Key Features
- High-Precision Pi Generation: Calculate the digits of Pi up to 100,000 decimal places.
- Instant Results: The tool uses an efficient spigot algorithm to generate the digits quickly right in your browser.
- Digit Analysis: For any calculation of 100 digits or more, the tool provides a detailed breakdown of how many times each digit (0-9) appears in the first 100 decimal places.
- "Pie of Pi" Visualization: A dynamic pie chart is generated to visually represent the distribution of the first 100 digits, making it easy to see the frequency of each number at a glance.
- Responsive Design: The tool is designed to work seamlessly on desktops, tablets, and mobile devices.
- Easy to Use: A clean, straightforward interface allows you to generate and analyze Pi digits with a single click.
- Copy to Clipboard: Easily copy the full generated string of Pi digits for use elsewhere.
How to Use
- Enter the Number of Digits: In the input field, type the number of decimal places of Pi you wish to generate. For example, enter 1000.
- Click Generate: Press the "Generate" button or hit the Enter key. A loading indicator will appear while the calculation is in progress.
- View the Results: The generated digits of Pi will appear in the text area below the button.
- Analyze the Digits (for n ≥ 100): If you generated 100 or more digits, an analysis section will appear, showing:
- Digit Distribution: A table listing how many times each digit from 0 to 9 appears.
- The Pie of Pi: A colorful pie chart visualizing this distribution.
- Copy the Digits: Click the "Copy to Clipboard" button to save the generated Pi sequence.
Common Questions
The tool uses a "spigot" algorithm. This type of algorithm is efficient for generating digits sequentially without needing to calculate the preceding ones in high precision. It's well-suited for web-based applications as it can compute a large number of digits without consuming excessive memory.
The calculation is performed directly in your web browser. While the algorithm is efficient, calculating millions of digits can be computationally intensive and might cause your browser to slow down or become unresponsive. The 100,000-digit limit ensures a smooth and fast user experience across most devices.
This is a famous question in mathematics! Pi is believed to be a "normal" number, which means that any sequence of digits appears as frequently as any other sequence of the same length. For the first 100 digits, you can see the distribution is fairly even, but not perfectly so. Mathematicians have tested this for trillions of digits, and so far, the evidence supports the idea that Pi is normal, but it has not yet been formally proven.
No, the tool requires an internet connection to load the initial page and its scripts. However, all the calculations happen on your device once the page is loaded.