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Prime Numbers Search

Tool to search for prime numbers according to criteria. A prime number is a natural number whose divisors are 1 and itself (like 2, 3, 5, 7, 11, 13, 17, 19, etc.)

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Prime Numbers Search -

Tag(s) : Arithmetics

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Prime Numbers Search

Prime Number Position

List Prime Numbers



Other Prime Numbers Tools

⮞ Go to: Primality Test

Answers to Questions (FAQ)

What is prime numbers search? (Definition)

Prime number finding is a field of mathematics that involves identifying and studying prime numbers, which are integers greater than 1 and having only two divisors: 1 and themselves.

There are an infinite number of prime numbers, but their distribution in the set of integers or the prediction that a number is prime remain important areas of research in mathematics.

How to find prime numbers?

To know if a number is prime, it is necessary to pass a primality test. A test that will verify mathematically and algorithmically, that the number is divisible by none other than itself.

The most basic method is to divide a number by all integers less than itself to check if it has any divisors other than 1 and itself.

Example: 10 is divisible by 2 so is not prime

Example: 11 is not divisible by 2, 3, 4, 5, 6, 7, 8, 9, or 10, so it's a prime.

There are various techniques to speed up this calculation a little, but there is no method that can find both exhaustively and quickly the list of prime numbers.

How to list prime numbers?

As for finding a number, it is necessary to test the primality of all numbers between a low limit and an upper limit (the beginning and the end of the list).

To list the first prime numbers, the Eratosthenes sieve is a method which consists of writing all the integers from 2 (the smallest) up to N. Then, delete all the multiples of 2, then the multiples of 3, and and so on. The remaining numbers are the first prime numbers.

How do I find the next or previous prime number?

Again, it has no foolproof technique to detect the next prime nor the previous prime, nor the nth prime. dCode will detect the first number (greater or lower) that will be a prime number.

What are twin prime numbers?

Twin primes are pairs of prime numbers whose difference is 2.

Example: (3, 5), (5, 7), and (11, 13) are twin primes.

It is conjectured that there are infinitely many twin prime numbers.

Source code

dCode retains ownership of the "Prime Numbers Search" source code. Except explicit open source licence (indicated Creative Commons / free), the "Prime Numbers Search" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, breaker, translator), or the "Prime Numbers Search" 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, or API access for "Prime Numbers Search" are not public, same for offline use on PC, mobile, tablet, iPhone or Android app!
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The copy-paste of the page "Prime Numbers Search" or any of its results, is allowed (even for commercial purposes) as long as you credit dCode!
Exporting results as a .csv or .txt file is free by clicking on the export icon
Cite as source (bibliography):
Prime Numbers Search on dCode.fr [online website], retrieved on 2024-06-15, https://www.dcode.fr/prime-numbers-search

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