Prime Number Checker
Check if a number is prime and find its prime factors
Prime Status:
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Prime Factors:
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Divisibility:
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Find Primes in Range
Prime Numbers:
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About Prime Numbers
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Prime numbers are the building blocks of all natural numbers.
How to Use This Tool
- Enter the required values in the input fields
- Select any necessary options or units from the dropdown menus
- Click the calculate button
- View your results in the result section
Why We Use This Tool
- Accuracy: Get precise calculations without manual computation errors
- Efficiency: Save time by quickly performing complex calculations
- Learning: Understand the formulas and concepts behind the calculations
- Decision-making: Use reliable data to make informed choices
Properties of Prime Numbers
- There are infinitely many prime numbers
- All prime numbers (except 2) are odd
- Every number greater than 1 is either prime or can be factored into primes
- The number 2 is the only even prime number
Prime Number Theorem
The prime number theorem describes the asymptotic distribution of prime numbers. It states that the number of primes less than n is approximately n/ln(n).
Famous Prime Numbers
Largest known prime: The largest known prime number is 2⁸²⁵⁸⁹⁹³³ - 1 (24,862,048 digits)
Twin primes: Prime pairs that differ by 2 (e.g., 3 and 5, 11 and 13)
Applications of Prime Numbers
- Cryptography: RSA encryption relies on the difficulty of factoring large numbers
- Computer science: Hash tables use primes for better distribution
- Mathematics: Fundamental theorem of arithmetic
Interesting Facts
Prime numbers become less frequent as numbers get larger
The largest known prime has over 24 million digits
There is no known pattern to the distribution of primes