How to Use This Random Number Generator

This advanced random number generator allows you to create random numbers for various applications. Follow these simple steps to generate your random numbers:

Step 1: Set Basic Parameters

Start by specifying how many numbers you need and the range they should fall within. For example, to generate 10 random numbers between 1 and 100, set "How many numbers?" to 10, "Minimum" to 1, and "Maximum" to 100.

Step 2: Choose Distribution Type

Select the distribution pattern for your numbers:

• Uniform Distribution: Every number has equal probability (default)
• Normal Distribution: Numbers follow a bell curve pattern
• Exponential Distribution: Numbers cluster near the minimum value

Step 3: Select Number Type

Choose whether you want integer numbers (whole numbers) or decimal numbers. If you select decimal, you can specify how many decimal places you need.

Step 4: Apply Advanced Options (Optional)

Use the additional options to customize your results:

• Exclude Numbers: Enter specific numbers you want to avoid
• Algorithm Selection: Choose between crypto-secure, fast, or balanced random generation
• Allow Duplicates: Control whether numbers can repeat
• Sort Numbers: Automatically sort results in ascending order

Step 5: Use Quick Presets

For common use cases, click any of the preset buttons to automatically configure the generator for specific applications like dice rolls, lottery numbers, or password generation.

Step 6: Generate and Analyze

Click "Generate Random Numbers" to create your numbers. The results will display with statistics and visualizations to help you analyze the distribution and properties of your generated numbers.

Technical Specifications and Features

Randomness Algorithms

This generator supports multiple algorithms to suit different needs:

• Crypto-secure (Web Crypto API): Uses your browser's cryptographic random number generator for security-sensitive applications
• Mersenne Twister: A widely-used pseudorandom number generator known for its long period and good statistical properties
• Xorshift: A fast pseudorandom number generator suitable for general-purpose applications

Statistical Analysis

Each generation includes comprehensive statistics:

• Minimum and Maximum: The smallest and largest values in your set
• Average (Mean): The mathematical average of all numbers
• Median: The middle value when numbers are sorted
• Standard Deviation: A measure of how spread out the numbers are
• Sum: The total of all numbers
• Unique Count: How many distinct numbers were generated
• Duplicate Count: How many numbers appear more than once

Visualization Tools

The generator provides two types of charts:

• Distribution Histogram: Shows how frequently numbers appear in different ranges
• Value Distribution Chart: Compares your actual distribution to the theoretical distribution pattern

Export and Sharing Options

Multiple ways to save and share your results:

• Copy to Clipboard: Quickly copy numbers as comma-separated values
• Export as CSV: Download results as a spreadsheet-compatible file
• Export as JSON: Download results with metadata for programming use
• Print: Generate a printer-friendly report

Performance and Limits

The generator can produce up to 10,000 numbers in a single batch. For optimal performance with large batches, use integer numbers and allow duplicates. The visualizations automatically adjust based on the number of results to ensure clear display.

Browser Compatibility

This tool works in all modern web browsers including Chrome, Firefox, Safari, and Edge. The crypto-secure algorithm requires a browser that supports the Web Cryptography API (most modern browsers).

Privacy and Security

All number generation happens locally in your browser. No data is sent to any server, ensuring complete privacy. For cryptographic applications, we recommend verifying that the crypto-secure algorithm meets your specific security requirements.