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)
Next Prime Number - dCode
Tag(s) : Arithmetics
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Next Prime Number
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Answers to Questions (FAQ)
How to calculate the next prime number?
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' tool source code. Except explicit open source licence (indicated CC / Creative Commons / free), any 'Next Prime Number' algorithm, applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any 'Next Prime Number' function (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and no data download, script, copy-paste, or API access for 'Next Prime Number' will be for free, same for offline use on PC, tablet, iPhone or Android ! dCode is free and online.
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Questions / Comments
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