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Next Prime Number

Tool to search for prime numbers, such as the prime following a given number (next), or the nth prime number greater than a given number (Next Prime Function)

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Next Prime Number -

Tag(s) : Arithmetics, Mathematics

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# Next Prime Number

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## Next Prime Number Search

Tool to search for prime numbers, such as the prime following a given number (next), or the nth prime number greater than a given number (Next Prime Function)

### How to calculate the next prime number?

There is no formula to find the next prime number. dCode uses an algorithm that performs a probabilistic primality test (Miller-Rabin test) on each of the numbers greater than or equal to the number requested, then check it with a deterministic test.

Example: The first prime number following 1000 is 1009.

Example: The 10th prime number after 100 is 149 (so there are 9 prime numbers between 101 and 148)

The number must be a positive real number (the decimal numbers are accepted).

### How to find smallest primes with n digits ?

The first prime number following $$10^(n-1)$$ is a number with $$n$$ digits which is the smallest n-digit prime number.

Example: 2, 11, 101, 1009, 10007, etc.

### What are twin primes numbers?

A prime number and the next prime number are said to be twins if their difference is 2.

Example: 11 and 13 are twins primes because 13-11 = 2.