Prime Number Calculator
Explore prime numbers with our calculator.
Check if a Number is Prime
Find Prime Numbers in a Range
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What Is a Prime Number Calculator?
A prime number calculator is a specialized math tool that instantly:
- Checks if a number is prime or composite
- Generates lists of prime numbers within any range
- Finds prime factors of any number
- Identifies twin primes and prime pairs
Why Use a Calculator?
✅ Quick Verification – Test primality of any number (even 10+ digit numbers)
✅ Educational Value – Essential for students learning number theory
✅ Time-Saver – No manual calculations needed
✅ Programming Helper – Verify algorithms and test cases
How It Works
Our calculator uses optimized algorithms including:
- Trial division (for smaller numbers)
- Miller-Rabin primality test (for large numbers)
- Sieve of Eratosthenes (for generating prime lists)
Key Features:
- Instant primality check for any positive integer
- Generate all primes between two numbers
- Find next/previous prime from any number
- Calculate prime factorization
Related Math Calculators:
1️⃣ Composite Number Calculator – Identify non-prime numbers
2️⃣ Prime Factorization Calculator – Break numbers into prime factors
3️⃣ GCD/LCM Calculator – Find greatest common divisors and least common multiples