Random Number Generator
Generate random numbers, dice rolls, lottery numbers, and more with customizable ranges and advanced options
Random Number Generator
Random Integers
Generated Results
Click "Generate Random Numbers" to see the results
Understanding Random Numbers
What are Random Numbers?
Random numbers are values that occur in a sequence where each value is unpredictable and has an equal probability of occurring. True randomness is rare in computer systems, so we use pseudo-random number generators (PRNGs).
Types of Randomness
- • True Random: Based on physical phenomena
- • Pseudo-Random: Generated by algorithms
- • Cryptographically Secure: For security applications
Applications of Random Numbers
Random numbers have countless applications across various fields, from scientific research to entertainment.
Common Uses
- • Statistics and sampling
- • Cryptography and security
- • Gaming and simulations
- • Scientific research
- • Testing and quality assurance
Random Number Generation Methods
Linear Congruential
Simple and fast algorithm using modular arithmetic.
Mersenne Twister
High-quality PRNG with long period and good distribution.
Widely used standard
Hardware Random
Uses physical processes like thermal noise.
Higher quality, slower
Statistical Properties
- • Uniform distribution
- • Independence
- • No predictable patterns
- • Equal probability for all outcomes
- • Long period before repetition
Quality Tests
- • Chi-square test
- • Kolmogorov-Smirnov test
- • Serial correlation test
- • Runs test
- • Birthday spacing test
Common Pitfalls
- • Poor seed selection
- • Using system time as seed
- • Insufficient randomness quality
- • Predictable patterns
- • Short period generators
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