Prime Number Checker

Prime Number Calculator – Check, List, and Learn About Primes

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How to Use the Prime Number Calculator

  • Enter any number to check if it’s prime.
  • Use the "List" mode to get all primes up to a specific value.
  • View detailed steps by enabling the explanation option.
  • Tap “Next” or "Previous" to explore nearby primes.

What is prime number?

A prime number is a number greater than 1 that has no positive divisors other than 1 and itself. Examples: 2, 3, 5, 7, 11…

How Do You Check If a Number Is Prime?

Mathematically, a number n is prime if it is not divisible by any number from 2 up to √n. Our calculator uses an efficient algorithm for this.

Real-World Use Cases

  • School assignments & homework
  • Competitive exam prep (like SAT, GRE)
  • Coding interviews or algorithm challenges
  • Number theory research

Frequently Asked Questions

What is a prime number?

A number greater than 1 that has no divisors other than 1 and itself. For example, 2, 3, 5, 7 are all prime numbers.

What is the smallest prime number?

2 is the smallest and only even prime number.

How do I find the next or previous prime?

Enter a number, then click the “Next” or “Previous” buttons to find nearby primes.

Can 1 be a prime number?

No. 1 is not a prime because it only has one factor — itself.