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Nth Prime Number Calculator

Find the nth prime number.

How to use

  1. Enter your values in the fields above.
  2. Press Calculate to see your result instantly.
  3. Use the Share button to copy a link to your result.

About this calculator

This calculator finds the nth prime number — for example, the 1st prime is 2, the 2nd is 3, the 10th is 29, and so on — by sieving or testing successive integers for divisibility until it has counted enough primes. Prime numbers are whole numbers greater than 1 with exactly two divisors: 1 and themselves.

Math students use it to check number-theory homework, and programmers use it to verify their own prime-generating algorithms against a known answer. Enter a position n to get the nth prime instantly, without writing a script yourself.

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