Prime Number Checker
Instantly check if a number is prime using the Miller-Rabin test. Supports massive Mersenne primes and provides full prime factorization.
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Instantly check if a number is prime using the Miller-Rabin test. Supports massive Mersenne primes and provides full prime factorization.
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Prime numbers are the fundamental building blocks of arithmetic. A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, its only divisors are 1 and itself.
Our tool specializes in identifying Mersenne primes—primes of the form 2^n - 1. We support checking extremely large numbers, with a string length of up to 1281 digits, allowing you to verify massive mathematical constants instantly.
To handle large-scale calculations with high precision, we employ the Miller-Rabin primality test. This probabilistic algorithm, optimized for performance, allows us to verify the primality of huge numbers much faster than traditional trial division methods, ensuring quick results even for numbers with hundreds of digits.
2, 3, 5, 7, 11, 13, 17, 19...
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