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Prime Numbers Cipher

Tool to decrypt/encrypt using prime numbers. The Prime Numbers cipher consists in associating each character a prime number (2, 3, 5, 7, 11, …)

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Prime Numbers Cipher -

Tag(s) : Substitution Cipher

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Prime Numbers Cipher

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Answers to Questions (FAQ)

What is a prime numbers subsitution cipher? (Definition)

Substitution by prime numbers, as the name suggests, is a cipher in which letters are replaced by prime numbers. By default, replace the 26 letters of the alphabet with the 26 first prime numbers (A=2, B=3, C=5, D=7, …, Z=101).

How to encrypt using Prime Numbers cipher?

The encryption uses a correspondence between prime numbers and letters.

A2B3C5D7E11F13G17H19I23J29K31L37M41
N43O47P53Q59R61S67T71U73V79W83X89Y97Z101

Example: DCODE is crypted 7,5,47,7,11

How to decrypt Prime Numbers cipher?

Decryption requires knowing the correspondence used between prime numbers and letters. By default,A=2, B=3, C=5, …

Example: The cipher message 53,61,23,41,11 will be decrypted into PRIME

How to recognize a Prime Numbers ciphertext?

The message is only made of prime numbers, mainly the first 26 prime numbers: $ 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101 $

What are the variants of the Prime Numbers cipher?

It is possible to define an alternative correspondence (or random) between prime numbers and letters.

Example: Random substitution: A=17, B=43, C=101, D=3, etc.

To decode this alternative, convert the numbers into letters using the decryption form and then perform a monoalphabetic substitution.

The prime multiplication cipher (rarely called South African Scouts Cipher) uses prime numbers that are multiplied together. A prime decomposition is necessary.

Example: 110 = 2*5*11 = A,C,E.

In this case, the order of letters is not necessarily preserved (ACE=2*5*11=110 and ECA=11*5*2=110 too), an anagram generator or a permutations generator is useful to find back the right permutation of letters.

Source code

dCode retains ownership of the online "Prime Numbers Cipher" source code. Except explicit open source licence (indicated CC / Creative Commons / free), the "Prime Numbers Cipher" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or the "Prime Numbers Cipher" 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 "Prime Numbers Cipher" 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 'Prime Numbers Cipher' tool, so feel free to write! Thank you!


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