Random Number Generator
Generate customized pseudo-random numbers within any numerical range for statistical sampling, raffles, research trials, games, and sweepstakes. Customize lower and upper boundaries, choose between unique or repeatable sets, and view real-time mean and median metrics.
Lowest possible integer value in the distribution
Highest possible integer value in the distribution
Quantity of numbers to draw (1 to 100)
If unchecked, every drawn number in the sequence will be strictly unique
Drawn random numbers matching your range constraints
How to Use This Calculator
- Set your desired minimum and maximum integer values (e.g. 1 to 100).
- Choose how many numbers you wish to generate.
- Toggle whether duplicate numbers are allowed.
- Inspect the resulting random sequence, arithmetic mean, and sample median.
Formula & Calculation Methodology
The engine employs a Linear Congruential Generator (LCG) with ANSI C / numerical constants (multiplier a = 1,664,525, increment c = 1,013,904,223, modulus m = 2³²) mapped uniformly across the specified integer interval.
Worked Example
Draw 5 unique lottery numbers between 1 and 50
Single random number between 1 and 6 (Standard 6-sided die)
Frequently Asked Questions
Are these numbers truly random or pseudo-random?↓
Computers generate pseudo-random numbers using deterministic mathematical algorithms (PRNG) that simulate uniform probability. For scientific cryptography, physical atmospheric noise hardware generators are used.
What happens if I request more unique numbers than the range contains?↓
If the count exceeds the range (e.g. requesting 15 unique numbers between 1 and 10), the calculator generates the maximum possible unique set and fills remaining slots without stalling.
Can negative numbers be used in the range?↓
Yes, negative bounds (such as -50 to +50) are fully supported and will produce numbers uniformly distributed across zero.
What is a limitation of pseudo-random generators?↓
PRNG algorithms are periodic; while the cycle length is over 4 billion numbers, they should not be used for high-security cryptographic key pairs or financial block cipher salting.