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)

dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day! A suggestion ? a feedback ? a bug ? an idea ? Write to dCode!

There is no formula on how 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.

Source code

dCode retains ownership of the online "Next Prime Number" source code. Except explicit open source licence (indicated CC / Creative Commons / free), the "Next Prime Number" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or the "Next Prime Number" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and all data download, script, copy-paste, or API access for "Next Prime Number" are not public, same for offline use on PC, tablet, iPhone or Android ! Remainder : dCode is free to use.

Need Help ?

Please, check our dCode Discord community for help requests! NB: for encrypted messages, test our automatic cipher identifier!

Questions / Comments

Thanks to your feedback and relevant comments, dCode has developed the best 'Next Prime Number' tool, so feel free to write! Thank you!

Thanks to your feedback and relevant comments, dCode has developed the best 'Next Prime Number' tool, so feel free to write! Thank you!