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Prime Number Checker
Check if a number is prime, find prime factors, and list primes in a range.
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- Prime Number Checker
Check If a Number Is Prime
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Prime Factors
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List Primes in Range
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How to Use
- Check if prime — Enter any positive integer and click Check Prime to see if it is prime.
- Find prime factors — Enter a number and click Factorize to see its prime factorization.
- List primes in a range — Set a range and click List Primes to see all prime numbers in that interval.
- Performance — Calculations use the optimized Sieve of Eratosthenes and trial division. Large ranges may take a moment.
Frequently Asked Questions
What is a prime number?
A prime number is a positive integer greater than 1 that has exactly two factors: 1 and itself. For example, 2, 3, 5, 7, 11, and 13 are prime numbers.
What is prime factorization?
Prime factorization is breaking a composite number down into its prime factors. For example, 84 = 2 x 2 x 3 x 7.
Is 1 a prime number?
No. By definition, a prime number must have exactly two distinct positive divisors. The number 1 has only one divisor (itself), so it is neither prime nor composite.
What is the largest prime number?
There is no largest prime number. Euclid proved over 2,000 years ago that there are infinitely many prime numbers. The largest known prime (as of 2024) has over 24 million digits.
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