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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

## Prime Numbers Encoder

### 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.

 A B C D E F G H I J K L M 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

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.

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